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Title:
NAVIGATION SYSTEM INCLUDING AN INTEGRATED ELECTRONIC CHART DISPLAY
Document Type and Number:
WIPO Patent Application WO/1985/001794
Kind Code:
A1
Abstract:
A navigation system particularly adapted for ships (48) making a passage within a harbor or the like (46), utilizing signal inputs from on-board vessel position determining equipment such as Loran or Decca apparatus (24) and an on-board object detecting equipment such as a radar or sonar apparatus (26). The system further includes an on-board vessel position computer (80) which operates in a differential Loran mode in response to observed Loran time differences, stored data from an initial calibration, and Loran grid offset data from an on-shore monitor system (22) to compute a highly accurate current or present position fix in longitude and latitude whereupon the computer (80) causes a predetermined electronic chart to be displayed in color on the screen of a cathode ray tube (94), being generated from a plurality of electronic charts (36) stored in the form of digital files in memory (30). The selected chart, together with the present position of the ship (48), is displayed along with preselected alpha-numeric indicia (42) of data relating to bearings, way points, ranges, "time to go", etc., also generated in accordance with the computed vessel position. Radar target returns of the local land mass (44) and other stationary/moving targets (52, 54, 56, 57) are additionally received by the ship's radar (26). The radar image of the target echoes is next referenced to and superimposed on the electronic chart generated; however, the radar's land mass echoes are suppressed in favor of the electronic chart land mass while displaying all other targets.

Inventors:
ROGOFF MORTIMER (US)
WINKLER PETER M (US)
ACKLEY JOHN N (US)
Application Number:
PCT/US1984/001624
Publication Date:
April 25, 1985
Filing Date:
October 11, 1984
Export Citation:
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Assignee:
NAVIGATION SCIENCES INC (US)
International Classes:
G01C21/20; G01C21/00; G01C21/22; G01S7/22; G01S7/24; G01S13/86; (IPC1-7): G01C21/22
Foreign References:
FR2371723A11978-06-16
US3899769A1975-08-12
US4393448A1983-07-12
Download PDF:
Claims:
CLAIMS
1. A radio navigation system for navigating a vehicle comprising in combination: position determining apparatus onboard said vehicle and including means for fixing the present geographical location of said vehicle and generating electrical signals corresponding to said location; object detecting apparatus onboard said vehicle and including means for generating electrical image signals of objects detected thereby; means responsive to said electrical signals corresponding to said present geographical location of said vehicle for generating an electronic display of a navigational chart of a predetermined localized area including the present geographical location of said vehicle; means for positioning and displaying said vehicle on said chart at its present location; and means for superimposing said image signals generated by said object detecting apparatus on said electronic display within the confines of said navi¬ gational chart whereby a composite map type visual display is provided for fixed and moving targets in relation to the present location of said vehicle as well as providing an indication of a required course of travel for said vehicle within said localized area.
2. The navigation system of claim 1 wherein said position determining apparatus selectively in¬ cludes Loran, Decca or satellite position determining systems, and said object detecting apparatus selec tively includes radar or sonar apparatus.
3. The navigation system of claim 1 wherein said position determining apparatus comprises a Loran position fixing system.
4. The navigation system of claim 1 wherein said object detecting apparatus comprises a radar system.
5. The navigation system of claim 1 wherein said vehicle comprises a vessel navigating in a body of water, said position determining apparatus comprises Loran apparatus and said object detecting apparatus comprises radar apparatus.
6. The navigation system of claim 1 wherein said means for fixing geographical location included in said position determining apparatus comprises com¬ puter means responsive to electrical signals generated by said position determining apparatus and being operable to provide electrical output signals of said location defined in first type coordinates, wherein said electronic display of a naviga¬ tional chart is also defined in said first type co¬ ordinates; wherein said image generating means of said object detecting apparatus generates signals of objects defined in second type coordinates; and wherein said means for superimposing includes means for converting said second type coordinates of said image signals to said first type coordinates, means adding the coordinates of said output signals of said location to the converted coordinates of said image signals, and means coupling said image signals thus converted concurrently to said means for gen¬ erating an electronic display whereby the coordinates of said image signals are substantially in registration and match the coordinates of said navigational chart.
7. The navigation system of claim 6 wherein said first type coordinates comprise rectangular co¬ ordinates and wherein said second type coordinates comprise polar coordinates.
8. The navigation system of claim 7 wherein said computer means comprises stored program digital computer means generating digital output signals of said location; wherein said means for generating an elec¬ tronic display includes digital memory means having a plurality of navigational charts electrically stored therein, and including means responsive to said digital output signals of said location for selecting and coupling at least one of said charts to electrically operated display means operable to generate a visual representation of said chart, and wherein said means for superimposing includes means for converting said image signals into digital image signals and coupling said digital image signals to said electrically operated display means in syn¬ chronism with said at least one chart selected from memory means.
9. The navigation system of claim 8 wherein said means for superimposing additionally includes means for suppressing predetermined image signals.
10. The navigation system of claim 8 wherein said means for superimposing includes a first tem¬ porary digital memory for storing said at least one navigational chart out of said memory means, a second temporary memory for storing said digital image signals, and means for synchronizing the operation of said first and second temporary memory and said display means for reading signals out of said temporary memories to said display means whereby a composite visual presenta¬ tion of said chart and said objects detected is presented.
11. The navigation system of claim 10 wherein said means for superimposing additionally includes means for suppressing predetermined image signals.
12. The navigation system of claim 11 wherein said display means comprises color display means, said first and second temporary memories comprise memories operable to store chart and image signals in selective colors and wherein said means for suppressing predeter¬ mined image signals comprises means which operate to inhibit signals from said second temporary memory from being coupled to said color display when predetermined color signals are being read out of said first tem¬ porary memory to said color display means.
13. The navigation system of claim 12 wherein said color display means comprise a cathode ray tube and said inhibit means comprises a color table coupled intermediate said first and second intermediate memory and said cathode ray tube.
14. The navigation system of claim 13 wherein said vehicle comprises a vessel navigating in a body of water, said position determining apparatus comprises Loran apparatus, said object detecting apparatus com¬ prises radar apparatus, and wherein said suppressed image signals comprise signals corresponding to the shore line of said body of water and any adjoining land mass.
15. The navigation system of claim 14 wherein said Loran apparatus includes Loran receiver apparatus operable to couple time difference signals to said computer means, and wherein said memory means includes predetermined stored data relative to a plurality of calibration points on said body of water whereby said computer means is responsive to said difference signals and selected values of said stored data to generate said location output signal in accordance with a differential position determining algorithm.
16. The navigation system of claim 15 wherein said Loran apparatus additionally includes means for determining any offset from a Loran grid of the region including said body of water, said offset being ex¬ pressed in time difference signals, and means coupling said offset time difference signals to said computer means whereby said difference signals received by said Loran receiver means are corrected and said computer means is responsive to said corrected difference sig¬ nals in generating said location output signal.
17. The navigation system of claim 16 wherein said means for determining said offset of the Loran grid comprises a Loran monitor system including at least one Loran receiver selectively located in the region of said body of water and being operable to observe and output signals of the Loran time differ ence signals thereat, means for storing a set of refer¬ ence time difference signals observed at the selected location, means for determining any deviation time difference signals of currently observed time difference signals from said reference time difference signals, said deviation time difference signals being applied to said means coupling said offset time difference signals to said computer means.
18. The navigation system of claim 17 wherein said Loran monitor system includes a plurality of Loran receivers located at selected locations in said region and being operable to observe and output respec¬ tive Loran time difference signals, means coupled to the respective Loran time difference signals for comparing said respective time difference signals observed by said Loran receivers and providing one time difference signal output when at least two of said Loran receivers provide output signals in a predetermined comparison range, said one time differ¬ ence signal thereafter being applied to said means coupling said offset signals to said computer means.
19. The navigation system of claim 17 wherein said means coupling said offset signal to said com¬ puter means includes radio transmitter means coupled to said Loran monitor system and onboard radio receiver means coupled to said computer means.
20. The navigation system of claim 10 wherein said means for positioning and displaying said vehicle comprises a visual graphic digital signal generator coupled to said first intermediate memory and being responsive to said digital output signals correspond¬ ing to the present location of said vessel.
21. The navigation system of claim 8 and additionally including means responsive to said elec¬ trical signals corresponding to said present location for generating and coupling to said display means sig¬ nals of predetermined alphanumeric navigational data, said data being displayed adjacent said composite navigational display.
22. The navigation system of claim 21 and additionally including digital memory means for storing said alphanumeric navigational data.
23. A method of navigating a vehicle by radio navigation comprising the steps of: fixing the present geographical location of said vehicle and generating electrical signals corresponding to said location; detecting objects in a predetermined area OMPI NA i >J of navigational use and generating electrical image signal of objects detected; generating an electronic display of a naviga¬ tional chart of said predetermined area of use including the present location of said vehicle; positioning and displaying said vehicle on said chart at its present location; and superimposing said image signals on said electronic display within the confines of said navi gational chart and providing thereby a composite map type visual display of fixed and moving targets in relation to the present location of said vehicle as well as providing an indication of a required course of travel for said vehicle within said area of navi gational use.
24. The method of claim 23 wherein said step of fixing the present location of said vehicle com¬ prises determining said location onboard said vehicle and wherein said step of detecting comprises detecting objects in a predetermined area of navigational use onboard said vehicle.
25. The method of claim 24 wherein said step of fixing the geographical location of said vehicle includes utilizing a Loran, Decca or satellite position determining system, and wherein said step of detecting objects com¬ prises utilizing a radar or sonar system.
26. The method of claim 24 wherein said ve¬ hicle comprises a vehicle navigating in a body of water, wherein said step of fixing present geographical lo¬ cation comprises the method of Loran position fixing.
27. The method of claim 26 wherein said step of Loran position fixing includes, OMPI initially obtaining predetermined data at a plurality of accurately known calibration points for calculating position within said area of navigational use, storing said data for subsequent use, receiving signals of the arrival of radio signals transmitted from a master station and at least two secondary stations and generating at least two time difference signals therefrom, and utilizing said time difference signals and selected stored data of at least one of said cali¬ bration points and calculating therefrom said present position in accordance with a differential position fixing algorithm.
28. The method of claim 27 wherein said pre¬ determined data comprises calculated values of virtual base line shifts between said master and two second¬ ary stations based upon the time difference signals observed at each of said plurality of calibration points.
29. The method of claim 28 wherein said step of Loran position fixing additionally includes the further step of tracking any shift of the Loran grid within said area of navigational use and generat ing offset signals of the grid shift, said grid com¬ prising a family of intersecting hyperbolic loci which represent the locus of all points possessing predicted equal difference in time of arrival between said master and said secondary stations, receiving said offset signals, utilizing said time difference signals and said offset signals and generating therefrom corrected time difference signals, and thereafter utilizing said corrected time difference signals and said selected stored data of at least one of said calibration points and calculat¬ ing said present position in accordance with said position fixing algorithm.
30. The method of claim 29 wherein said 5 step of tracking the Loran grid further comprises the steps of locating a plurality of Loran receivers at selected locations in said region of use, receiv¬ ing signals from said master and secondary station and generating respective Loran time difference sig 10 nals thereat, comparing the respective Loran time difference signals and providing one time difference signal output when at least two of said Loran receivers provide output signals in a predetermined comparison range, and utilizing said one time difference signal 15 for generating corrected time difference signals.
31. The method of claim 29 wherein said algorithm comprises an iterative converging process including the steps of obtaining an interpolated value of virtual base line delays from three calibration 20 points nearest to said vessel following initially com¬ puting a position fix based on observed time difference signals at the present location of the vessel and corrected for any shift of the Loran grid.
32. The method of claim 24 wherein said step " 25 of fixing geographical location includes calculating the present position in response to received position fixing signals transmitted from one or more remote signal sources, said calculating step further com¬ prising the step of generating digital output signals 30 of present position defined in first type coordinates, wherein said step of detecting objects further comprises the step of generating image signals defined in second type coordinates; and wherein said step of superimposing said image signals on said electronic display includes the step of converting said second type coordinates of said image signals to said first type coordinates, adding the coordinates of said present location to the converted coordinates of said image signals, and coupling said image signals thus converted to elec •tronic display means whereby the coordinates of said detected image signals are substantially in registra tion and match the coordinates of said navigational chart.
33. The method of claim 32 wherein said first type coordinates comprise rectangular coordinates and wherein said second type coordinates comprise polar coordinates.
34. The method of claim 33 wherein said step of calculating position comprises the step of digitally calculating position and generating digital output signals of said location; wherein said step of generating an electronic display includes digitally storing signals for gener¬ ating a plurality of navigational charts, and select¬ ing at least one of said stored navigational charts in response to said digital output signals of said location and generating therefrom a visual represen¬ tation of said chart, and wherein said step of superimposing said image signals comprises converting said image signals into digital image signals and generating a visual representation of said image signals on said chart in synchronism with the generation of said navigational chart.
35. The method of claim 34 and wherein said step of superimposing said image signals addition¬ ally includes suppressing predetermined image sig¬ nals.
36. The method of claim 35 wherein said step of suppressing predetermined image signals in¬ cludes the further steps of temporarily storing said navigational chart selected, temporarily storing said digital image signals, and synchronously reading out said navigational chart and said image signals temporarily stored and suppres¬ sing certain of said image signals which are substan¬ tially like a corresponding portion of said chart whereby that portion of the chart is visually repres¬ ented exclusive of said certain image signals while displaying the remaining image signals of detected objects.
37. The method of claim 36 wherein said step of generating an electronic display further com¬ prises generating an electronic display in color, and wherein said steps of temporarily storing said selected chart and said digital image signals comprises stor¬ ing signals thereof in selected colors, and wherein said step of suppressing predetermined image signals comprises the step of inhibiting said certain image signals temporarily stored from being generated when predetermined color signals of said chart are being generated after being temporarily stored.
38. The method of claim 37 wherein said vehicle comprises a vessel navigating on a body of water, wherein said step of fixing the geographical position comprises fixing location by utilizing Loran position fixing apparatus and wherein said step of detecting objects comprises the step of utilizing radar type apparatus, and wherein said suppressed image signals comprise signals corresponding to the shore line of said body of water and any adjoining land mass.
39. The method of claim 38 wherein said step of positioning and displaying said vehicle com prises generating a visual graphic of said vehicle on said chart at the present calculated location of said vessel.
40. The method of claim 38 and additionally including the step of generating predetermined alpha numeric navigational data in response to the electrical signals generated corresponding to present location of said vehicle and displaying said alphanumeric navi¬ gational data adjacent said composite map type visual display.
41. The method of claim 24 wherein said step of positioning and displaying said vehicle comprises generating a visual graphic of said vehicle on said chart at the present calculated location of said vessel.
42. The method of claim 24 and additionally including the step of generating predetermined alpha¬ numeric navigational data in response to the electrical signals generated corresponding to present location of said vehicle and displaying said alphanumeric navigational data adjacent said composite map type visual display.
Description:
NAVIGATION SYSTEM INCLUDING AN INTEGRATED ELECTRONIC CHART DISPLAY

Referenced Material

Reference is made to a computer program list¬ ing applicable to the present invention and which is disclosed in attached Appendix I.

Background of the Invention

Field of the Invention

This invention relates generally to on-board navigational systems and more particularly to the type of navigational system which continuously displaysin a plan view the present position of a navigating vehicle in relation to its surrounding environment, such as a ship making a passage within a channel or a harbor or the like.

Prior Art Position fixing systems are generally well known and include such systems as Loran and Decca as well as radar, Omega, satellite and inertial navigation systems.

The Loran system is particularly useful be- cause of the high inherent accuracy of the system. In Loran, radio pulses are generated at each of three stations, one station acting as the master for timing purposes, and at least two others, called secondaries, that establish differential time and thereby vessel position. At the receiving location, the master signal is received first, followed in succession by two or more secondary signals. The difference in time of arri¬ val between the master signal and each of the secondary signals determines the position of the vessel. Each pair of time differences give rise to a family of hy¬ perbolic loci having intersections that mark the position of the vessel. This is a well known form of hyperbolic navigation utilizing a network of hyperbolic lines of

position wherein each hyperbolic line represents the locus of all points that possess predicted equal differ¬ ences in time of arrival between master and secondary. The family of loci of position forms what is commonly referred to as a "grid" which can visually be depicted, for example, by being overprinted as a set of hyper¬ bolas on nautical charts. High accuracy of the time difference measurement is further achieved by phase comparison of the RF carrier within' the pulse trans- mission. Such a system is known as the Loran-C system. Notwithstanding, Loran is subject to certain anomalies in the propagation delay from predicted values which cause shifts in the Loran grid. Such shifts can amount to position errors and uncertainties of the order of a few hundred yards or more, which can vary over a twelve month cycle. While such errors can be tolerated in certain areas such as in open water, this is not the case where it is desirable to use Loran for navigation within a very narrow channel in a harbor, along a coastline, or within a river.

Accordingly, it is an object of the present invention to provide an improvement in vehicle naviga¬ tional systems.

It is another object of the present invention to provide an improvement in the accuracy of a navi¬ gational system employing a positional fix system includ¬ ing a navigational display.

Still another object of the present invention is to combine two different forms of radio location apparatus and generate therefrom an integrated naviga¬ tional display.

And yet a further object of the present in¬ vention is to combine an on-board differential Loran system with an on-board radar system and generate there- from an integrated navigational display from an electron¬ ic chart stored in memory and generated in accordance

with the present vessel position and further super¬ imposing detected radar targets on the chart while suppressing the land mass echoes detected by the radar. Summary of the Invention

Briefly, a vehicle navigation system is dis¬ closed employing both a highly accurate means for fixing positions and an object detection system along with an integrated electronic display comprising a navigational chart generated from a plurality of elec¬ tronic charts stored as files in a chart memory and generated in accordance with present computed position of the vehicle as well as local objects which must be observed and/or avoided during transit along a desired course. The system is particularly adapted for combin¬ ing Loran with radar where ship navigation is desired within a predefined area such as a harbor. In a Loran embodiment, a set of surveyed calibration points at selected locations within the harbor, for example, are initially used to determine virtual base line shifts between a master station and two secondary stations which are stored in memory and subsequently used to calculate vessel position. A plurality of selectively located Loran monitors operate on-shore to track any shift of the Loran grid within the area and periodically transmit offset data of the grid shift to the Loran position fixing system on-board the vessel. An on¬ board Loran computer, in a differential mode of opera¬ tion, calculates the vessel's present longitude and latitude at periodic intervals in response to: (a) observed Loran time differences; (b) any monitored grid shift offsets from a reference value; and (c) the virtual base line shifts and coordinates of a selected number, preferably three, of the nearest cali- bration points. An appropriate electronic naviga¬ tional chart is retrieved from the chart memory and

OMPI_

generated as a color CRT display together with a graph¬ ic of the present vessel position and selected alpha¬ numeric steering and positioning information. Simul¬ taneously the on-board object detection system, e.g. radar, generates a radar image of the area including fixed and moving targets. These targets are first referenced to the coordinates of the navigational chart displayed and thereafter integrated therewith. The integration is achieved by means which operates to further suppress the shore line and adjoining land mass echoes in favor of that provided by the electronic chart.

Brief Description of the Drawings

While the present invention is defined, in the claims annexed to and forming a part of this specifi¬ cation, a better understanding can be had by reference to the following detailed description of the invention taken in conjunction with the accompanying drawings in which: Figure 1 is a diagram generally illustrative of Loran and the calibration procedure followed in the subject invention;

Figure 2 is a diagram helpful in understand¬ ing the computation of actual position on the surface of the earth in accordance with measured Loran time differences;

Figure 3 is a block diagram providing a gen¬ eral overview of the navigational system in accordance with the subject invention; Figure 4 is illustrative of the navigational display provided by the subject invention;

Figure 5 is a block diagram illustrative of the on-shore Loran monitor system shown in Figure 1; and Figure 6 is a detailed block diagram illus¬ trative of the preferred embodiment of the on-board

navigational system in accordance with the subject invention.

Detailed Description of the Invention

Referring now to the drawings and more particu- larly to Figure 1, there is disclosed among other things, a triangulation diagram typically illustrative of a Loran navigational system which is operable to provide highly accurate position fixes applicable to land, sea or aircraft. In the present invention the craft com- prises, for purposes of illustration but not limita¬ tion, a vehicle such as a ship making a passage in a relatively narrow waterway such as a channel in a harbor or the like.

In general, and as shown in Figure 1, a Loran navigation system employs the reception of radio pulses received by the vessel or ship S from three stations, a master station M, and two secondary sta¬ tions X and Y, which are respectively separated from the master station M by the base line distances B- j _ and B_. At the receiving location S the master signal is re¬ ceived first over the signal path 10 followed in succession by signals from secondary stations X and Y over the paths 12 and 14. As is well known, the differ¬ ence in time of arrival between the master signal and each of the secondary signals, i.e., Tx and Ty, as referenced to predicted values along the hyperbolic " Loran grid, is adapted to determine the position of the vessel S in longitude L and latitude λ .

In order to obtain accurate position fixes, however, a number of compensations have to be made for the departure of the Loran grid from its predicted location due to various distorting factors. Among these are the following: (1) Radio waves traveling along the surface of the earth, i.e., the ground wave component of the signal, have their velocity of propagation effected by the conductivity of the earth over which

OMPI .

the signal is passing. Since the path occupied by the radio signal will vary as the receiving location, for example the vessel S in Figure 1 changes its location, the signals can be affected by varying propagation as the receiver location moves from one place to another. This change in velocity affects the measured differ¬ ential time of arrival as observed at the position S, creating the possibility of error in position deter¬ mination. (2) Any changes in transmitter signal ti - ing, especially in relative timing between transmitters, caused by climate changes and signal propagation changes between the master M and the secondaries X and Y, will create errors in the computed position of the vessel S. (3) Any changes in the differential time measure- ment occurring in the receiver will cause errors in the computation of location.

Presently, Loran systems rely upon the pre¬ diction of the time of arrival of radio signals on any place on the earth's conductivity along the route traveled by these radio signals. Propagation velocity is inferred from the values of earth's conductivity measurements that have been previously collected.. Various mathematical means are employed to convert these conductivity values into propagation velocities in order to prepare tables or charts illustrating the grid which locates the intersections of hyperbolic lines of position. Unfortunately, the accuracy with which conductivity is known along any specific path between a transmitter and receiver is of a sufficiently low order to restrain the system to accuracies that do not exceed one quarter of a nautical mile.

As a consequence, conventional Loran systems are not used in harbors, rivers or other waters where vessel locations must be known to greater accuracy. Similarly, it cannot be used by land vehicles or air¬ craft where in the case of land vehicles locations are

required to an accuracy of a few feet and in the* case of aircraft where positions must be known within a few feet, especially during landing.

In order to overcome this limitation and increase the accuracy of position fixing, the present invention utilizes a calibration process involving a set of accurately surveyed Loran navigation calibra¬ tion points typically spaced at intervals in the water ranging between one quarter of a mile and one mile, typically every 500 yards, and an on-shore Loran grid shift monitoring system within a predefined region of use. Typically, the predefined area of use comprises a harbor channel, a harbor entrance, an extensive channel in a river, a coastal area or other similar locations. Following calibration, at least three fixed

Loran monitor receivers are installed on-shore in the vicinity of the calibration points and are used there¬ after to provide a correction to the observed Loran time differences that occur as a result of the local Loran grid shift. Each monitor, as will be shown, periodically operates to measure time differences at its respective location. The time differences are compared to establish the existence of a shift. The deviation or offset from a previously established refer- ence value of one of the monitors is then communicated to Loran receiving equipment located, for example, on ships or vessels traveling within the specified area of operation so that it may be taken into account when making a position determination as will be ex- plained.

The principle of calibration utilized can be understood with reference to Figure 1. During the calibration p rrocess, ' the time differences TX and Ty between signals received from the master M and the two secondary stations X and Y at a plurality of accurately surveyed points or locations S in the

water are noted and recorded as well as 'the longitude L and latitude ^ of the respective point. As is known, the secondary stations X and Y transmit after having received a signal transmitted from the master station M over the base lines B, and B 2 . Thus signals are transmitted from the secondary stations X and Y after a time which is a function of the delay along the base line plus a coding delay. A calculation is then made of the required separation along the base lines B, and B ? would account for each of the two received time differences using the coordinates in L and 7. of the observed position and the time differences measured thereat as given quantities. In other words, secondary stations X and Y are moved to virtual positions, X' and Y' as shown in Figure 1, along their respective base lines, B, and B_ by am. incremental distance measured in time along D 'x and D'y which would be nec- essary to account for the observed time difference. These shifts along the base lines B, and B.- for each calibrating point represent calibrating offsets which are stored in a memory and are used in a manner to be described to determine present position.

With the knowledge of the virtual base line positions of X and Y at X' and Y 1 for the plurality of calibration points having respective coordinates L and l , the corrected geometry can then be applied to Loran signals received and corrected for any grid shift in accordance with the following spherical tri¬ gonometric method of calculation. With reference now to Figure 2, the master station M has a latitude Lm and longitude λm, while the secondary station X is located at L and \ ~ and the other secondary station Y is located at L

1 y and ' . The vessel's location is at L and ~ . Knowledge of the station locations, transmission delays and observed time differences, together with the radio

propagation speed, places the vessel at an intersection of two spherical hyperbolas.

First knowing the station coordinates L , . ,

Lx', Λ 2 x Ly, Xy , a set of calibration point coordin- ates Lc, c and the observed time differences T 0 c.

T G at that calibration point, virtual base line delays

D 1 x and D 1 y are calculated as follows:

Let V be the average propagation speed over water, and let 9mc , 9xc and θyc be the distance (in degrees) between the transmitters and a calibration point located at L , .

From the well known great circle distance formula, cosθ,.-, = sinL-, sinL 2 + cosL, cosL. cos ( _ - %_ )

9mc, 9xc and 9yc are derived as, 9 = cos " -sinL j SinL ς - + cosI^cosL j -cos (^ m - ^ c )]

(1)

9 — cos - * - [sinL sinL + cosL cosL cos Q. - ]

( 2 )

9 - cos " CsinL sinL + cosL cosL cos ( - X ) ] (3)

Expressing in two ways the time between transmission of master signal and reception of the secondary signals, one obtains:

9mc/C + T c x = D'x + 9xc/V (4) 9mc/V + T c y = D"y + 9yc/'V (5) from which

D' = T^-y + 9 mc " q γc (7)

V D 1 and D' are then used as base line delay values for x y navigation near the calibration point located at L , A .

Further as shown in Figure 2, 9 , 9 and ms' xs ys are the distance, in degrees, from the transmitters

M, X and Y to the vessel S and are unknown. 9mx and

9 are the distances from the master to each second- my ary, and are derived from the following great circle distance formulas as:

9my = cos " L r sinLmsinLy + cosL cosL cos _m_ - λy ) ]

(9)

The time elapsed between transmission, the signal from the master station and reception by the secondary

10 stations, corrected for grid shift, can be expressed as,

9 /V + T = D' + 9 /V (10) ms x x xs

9ms/'V + Ty = D'y + 9ys / 'V (11)

Defining PjC + V ( -Λ - D'.x) and = V

15 (T - D' ), obtained is,

9 = 9 + P (12) xs ms x.

cos-3xs = cos9mscosPx - sinQmssinPx (14)

2 * - 0 J cos9ys = cos3mscosPy — sin3mssinPy (15)

Let B , B and K be the angles indicated in Figure 2.

Applying the law of cosines to spherical triangles

XMS and YMS yields, cos3xs = cos3mx cos9ms + sinOmxsin9mscosBx (16)

2 - * -5- cos9ys = cos9mycos9ms + sin3my Ξ±Ώ.9mscosBy (17)

Equating the righthand sides of equations (14) through

(17) the following expressions result, cos9ms (cosPx - cos9mx) = sinθms (sinPx + sin3mx cosB χ ) (18)

3*-0 J cos ms (cosPy.. - cos my) = sin3ms (sinPy + sin-9my cosB ) (19)

Each of the equations (18) and (19) gives an expression

___ MPI__ ,-_:

cosP x - cos9- mx cosPy - cos3

= tan9 sinP χ + si θ-rn COsB j - m_s sinPy + sin9 cosBy

(20)

To simplify equation (20) let a — cosP x - cesa'd mx x sin ^mx

. cosPy - cos5 m si ■n τexy

and

so that a X' ay, b χ and by are all known quantities. Using a trigonometric identity to express cosBy = cos(K-B x ) and cross-multiplying the two large terms of (7) results in, ayb x - a x by = -aycosB x + a x cosBy = -ayCosBjζ + a x

[cosK cosB x ± sinK -J l-cos 2 B x ] (21) Since the angle K does not depend on the vessel's position or the observed time differences, it can be determined ahead of time from the MXY tri¬ angle via the law of cosines as:

whe cos9 X y = sinL χ sinLy + cosLjζCOsLyCOS ( X χ - -^y).' Thus, cosB x is the only unknown in the left and right sides of equation (8) . For convenience set,

U- j _ = a x cosK - ay

U3 = a y b χ a χ b y so that equation (22) reduces to

U 3 = U _cosB x - U2 H i - COS2B X ( 23 )

yielding,

U3 2 + U ] _ 2 cos 2 B x - 2U3UιcosB x = U 2 - U 2 2 COS B X (24) which is a quadratic in cosBχ, namely

(Uχ 2 - U2 2 ) cos 2 Bχ + (-2U 3 Uι) cosBχ +

(U 3 2 - U 2 2 ) = 0 (25) so one gets, cosBx = U 1 U 3 ± U 2 ' ^l 2 + V2 2 U 3 2 (26 )

Uχ2 + U 2 2 which will generally yield two real and acceptable values between -1 and 1 for cosB x .

Going back to the left side of equation (21), one obtains tan9 ms a χ (2?) D χ + cosa x which will yield two values of 9 ms in the desired range . " - 180° . The larger value of 9 ms is discarded.

Now taking

^xs = q ms + Px (28) g ys " " 3ms + Py ( 29 ) the diagram is solved and it remains only to compute the actual coordinates L s and X s .

The distance formulas for 9 ms , 9~_ s and 9γ S yield, cos9 χs = sinLχsinL s + cosLχCθsL s cos s - -^x) (31) cos9y S = sinLysinL s + cosLyCosL s cos (X s - Xy) (32)

Expanding cos (Xl x - X m ) , cos (^ s - Λ x ) and cos ( s - X y ) and replacing the two unknowns L s and λ s by three new unknowns f, g and h such that f = cosL g cos / * l s g = cosL s sin l s h = sinL s there results three linear equations in f, g and h which can be expressed in a matrix as:

S coordinates, its inverse

can be calculated ahead of time, as follows: C]_ * = sinLyCOsLmsin m - sinLmCOsLySin y

C2 -= sinI_ χ CθsLysin X y - sinLyCOsLmsin X x

C3 = sinL j - fl COsLjζSin X x - m

C4 = X y - sinLyCOs mCOS X m

C5 = XI χ - sinLχCθsLyCθs X

C _ = sinL x cosLmCθs Xm - sinLmCθsL x cos ^ x

Cη = cosLπ-cosLy(cos .msin Xy ~ sin X cos -ly)

C3 = cosLyCθsLχ(cos ^ysin Xl x - sin 2yCos X )

C_ — cosL χ cosL m (cos ^ x sin " m - sin λ x cos /l m )

D = λ y ~ sin X m cos Xy) +

sinLyCosLyCosL (cos S-in Λ x - sin /lycos Λ x ) Calculation of these highly symmetric expres¬ sions is facilitated in a well known manner in the present invention by an algorithm which permutes X-data, Y-data and M-data. Later, when time differences are observed, there obtains f = (C-_cos9 χs + C2Cθs9 ms + C3Cos9y S )/D (34) g = (C 4 cos9 χs + C5cos9 ms + C 6 cos9y S )/D (35) h = (C 7 cos9 xs + C8Cθsθ mg + Cgcosθygj/D (36) and finally

fuiiπt,

OMPI IPO . -,>>

< ' -

L s = sin- L h (37) s = tan" L (g/f) (38) where the sign of R s is determined by cos s ~ f/cosL g sin ? s = g/cosL s

This method of computation is employed by the subject invention and is implemented by means of a stored program digital computer.

With the foregoing in mind a preferred embodi- ment of the invention will now be considered. Referring now to Figure 3, there is disclosed a block diagram generally illustrative of the basic embodiment of the invention, the details of which are further disclosed in Figures 5 and 6. As shown, reference numeral 20 designates a navigation computer 20 which has inputs coupled thereto from several different sources, namely, an on-shore Loran monitor system 22, an on-board Loran receiver 24, an on-board radar system 26, a gyro or magnetic compass 28 and a digital memory 30. The memory 30 contains at least three sets of digital data called files including a first file 32 comprising stored files of the longitudes L and latitudes X and virtual base line delays D' and D'y of each calibration point where the Loran calibration survey has been previously made as described above. Additionally, the digital memory 30 includes a file 34 comprising preconstructed data files containing information relative to certain way points and objects used in navigating the area of concern. A third file 36 comprises a plurality of elec- tronic charts constructed from actual navigational charts containing longitude and latitude information as to shore contours, channel boundaries, buoys, light¬ houses, fixed structures, etc. The charts are fed into the memory prior to use and are read out on demand by the navigation computer 20 in response to the

vessel's computed position within the area of use for generating a visual map type navigational display. These chart files 36 are, moreover, broken into con¬ venient chart segments, for example, one nautical mile square, and are combined to meet the requirements of any scale chosen by the user. Thus if a three mile square is to be displayed, then nine of the prerequi¬ site one mile square files will be combined to create a chart that portrays the required area. An integrated Loran/radar display 38 is pro¬ vided and comprises an electronic chart displayed as a television picture which is presented to the user via a color cathode ray tube, for example, together with a graphic of the vessel's present position on the chart as well as radar targets sensed by the on-board radar 26. Additionally, other calculated alpha-numeric steering and positioning information is displayed alongside of the electronic chart containing the chart generated from the files 36 as well as the radar im- ages; however, the radar's detected ' image of the shore line and land is suppressed.

Such a display is shown in Figure 4 and com¬ prises a navigational map portion 40 and an alpha¬ numeric data portion 42. The map portion 40 comprises the composite of a visual image of an electronic navi¬ gational chart generated from the chart files 36 and a superimposed radar image whose scale and geographical coordinates match that of the chart generated. The navigational display is in color, which is particu- larly helpful in delineating the various features portrayed. For purposes of illustration, land masses 44 are colored yellow, while water 46 comprises shades of blue and white. A graphic of the vessel 48 being navigated is colored, for example, in black, as well as any trail it leaves. A channel 50 is delineated by dotted lines colored in blue or green, while buoys and

lighthouses designated by reference numerals 52 and 54, respectively, are normally portrayed in their appropri¬ ate red and green colors.

In the preferred embodiment of the invention, radar images, depending upon their strength, are col¬ ored either red or magenta. Thus any vessels 56, 57 in the vicinity will be so colored, as well as buoys and other features detected. Any movement of buoys from their respective desired position will immediately become evident since the radar image thereof will be offset from the preconstructed position on the chart generated. The radar's land mass echoes, however, will be suppressed, as will be shown subsequently, in favor of the electronic chart portrayal. As a result, the land is shown in the display portion 40 in the form of an accurately drawn high resolution chart in the color yellow as opposed to a relatively smeared and incomplete image of the radar presentation. The use of a color chart in addition to the suppression of land mass echoes in an integrated display including radar images in the water provides a measure of discrimination and intelligence heretofore unavailable.

All moving targets, moreover, are allowed to leave a trail of positions behind them which aids in establishing the direction of their true motion. Also the length of the trail is the measure of the target's speed. Thus the display provides additional information concerning the movements of potential collision threat with any vessels close to the vessel being navigated.

With respect to the alpha-numeric display portion &-2 , it basically is comprised of two main sections 58 and 60, which are adapted to provide steering information and electronic positioner informa- tion, respectively. The steering information is adapted to provide information as to the scale of the

OMPI

portrayed chart on the right, the heading of the vessel, the next way point and such information as "speed made good", "course made good", "time to go", etc. Insofar as the target positioning data, section 60, one of more targets whose range and bearing are calculated is displayed. Also, shown is a status message such as "all okay", as well as the date and time. All of the alpha-numeric information displayed results from inputs to the navigational computer 20 from the way point and destination files 34 as well as calculations resulting from inputs received from the on-board Loran receiver 24 and the on-board radar 26. Reference will now be made to Figure 5 where there is disclosed in block diagrammatic form the details of the on-shore Loran monitoring system 22 shown in Figure 3. As illustrated, the monitor system includes at least three Loran monitors 62, 64 and 66, comprised of Loran receivers located on-shore at three different locations within the area of use. The three monitors are physically separated far enough apart so as not to be influenced by any same local influence and operate to track the Loran grid shift in the area of use by sensing any deviation from respective refer¬ ence time difference values. When properly operating, a shift of the local Loran grid will be reflected in similar observed time difference changes in one direc¬ tion or another by at least two but preferably all of the monitors and a plot of observed time difference over a period of time would reflect this. As shown in Figure 5, the three Loran monitor receivers 62, 64 and 66 are commonly coupled to a clock 68 which is operable to simultaneously enable the three monitors 62, 64 and 66 at six minute intervals which respectively couple time difference outputs to a time difference comparator 70. During the six minutes preceding the enablement, each monitor 62, 64 and 66 operates to accumulate

pairs of Loran time differences measured and maintains a running average of the signals at its respective location. Connection between the time difference comparator 70 and the Loran monitors 62, 64 and 66 are typically implemented by means of modems, not shown, because of the separation between the respective equip¬ ment which may be several miles. The time difference comparator 70 operates to check the pairs of time differences received by the three monitors. If all three of the monitors 62, 64 and 66 are tracking pro¬ perly, acceptable comparison differences will be pro¬ vided and any one of the three monitor outputs can provide the basis for computing a grid offset for the on-board Loran receiver 24 as well as any other Loran receivers in the area of use. If only two of the monitors are tracking, then the comparator 70 will indicate that fact and one of the two monitors which are tracking will be used for obtaining Loran offset corrections. If none of the time differences accep- tably compare with any other pair, then none of the monitors can be used for obtaining grid offset correc¬ tions, and thus will wait until the next interval or until such time that two agree.

Assuming that two of the Loran monitors 62, 64 and 66 provide Loran time differences that provide an acceptable comparison, one of the tracking monitor outputs is selected and fed to an offset computer 72 which compares the observed time difference readings of the selected monitor with a pair of reference time differences for that particular monitor and which were previously stored in a memory 74, with the differ¬ ence therebetween being a measure of the grid offset. This offset is coupled as a time difference correction signal to a radio transmitter 76 by means of a modem, for example, not shown, which then transmits the off¬ set correction signal to an on-board radio receiver

78 shown in Figure 6.

Referring now to Figure 6 which discloses the details of the on-board navigation equipment used to implement the subject invention, time difference readings from the Loran receiver 24 as well as the offset data received by the Loran offset receiver 78 is shown coupled to a means 80 for converting Loran time differences to a geographic position of longitude L and latitude .. For purposes of illustration, the means 80 is designated a vessel position computer, which additionally is adapted to receive inputs from the Loran calibration data files 32 (Figure 3) . The vessel position computer 80 is programmed in accord¬ ance with the referenced software to accept time differences from the Loran receiver 24 and correct the received time differences in accordance with any grid offset signals received from the offset data receiver 78, whereupon the present position of the vessel 48 (Figure 4) is computed with a procedure involving equations (1) through (38).

The conversion of Loran time differences to longitude and latitude (L and^) is effected in the computer 80 by an iterative converging process which comprises obtaining the proper value of interpolated virtual base line delays D' χ and D'y from three cali¬ bration points which are nearest to the vessel and whose coordinates L and X and virtual base line delays D' χ and D'y are stored in the calibrating data files 32. In order to interpolate between the three nearest calibration points properly, a first or trial computa¬ tion of position is made based on observed Loran time difference corrected for any grid shift. Having ob¬ tained that position, the calibration files 32 are scanned for these calibration points which are nearest the computed position whereupon interpolated values of base line delay are computed. Using these values

of interpolated base line delay, position is recom¬ puted. Values of base line delay are recomputed from the nearly recomputed position and a test is made as to whether or not the computed value of virtual base line delay has stabilized within a predetermined tol¬ erance, which if it has, the most recent computed value of position is accepted. If not, the process continues until the computed value of base line delay doesn't change by more than one nanosecond, for example. After a predetermined time interval, e.g. 3 second intervals, the computer 80 resets the Loran receiver 24 to receive a new set of time differences and the position computation process is repeated. The correc¬ tion for grid offset and this iterative process results in what is termed a differential Loran mode of opera¬ tion.

The computed vessel position in longitude L and latitude X appears as digital signals on output bus 82 and is entered into a scan table 84 which is operable to select the appropriate electronic naviga¬ tional chart for display from the chart files 36 con¬ tained in the digital memory 30 (Figure 3) . This is a continuing process and selection is based upon whether or not the latitude and longitude of the present vessel position is such to be contained within the outlines of a chart which may already be displayed. In the first instance, however, chart selection is made based upon the vessel's first calculated position. But as the vessel moves, its position gets closer to an internal chart boundary. This boundary is usually set anywhere between three quarters and two thirds of the distance to the outer edge of the chart boundary. This outlines an internal chart of smaller dimension than the actual chart. Upon crossing this boundary, the selection process is resumed to deliver the next chart to the display, and the process continues as

-^Oii_A CΪ-. I -

the vessel moves throughout the area of travel. When desirable, however, the chart may be made to move while keeping the vessel stationary.

The chart selected from the chart files 36 is fed to a temporary electronic chart memory 86 which comprises three digital memory matrixes 88, 90 and 92 for the colors red, blue and green, respectively, and which operate to provide TV raster outputs to a cathode ray tube (CRT) 94 via a color table 96 which performs the function of controlling the combination of red, blue and green excitation of the CRT 94 in accordance with the rules laid down for the table. The color table comprises a software implementation of a logic gate which provides an inhibitor function. A synchronizer 98 operates to provide both vertical and horizontal sync signals to the chart memory 86 and the cathode ray tube 96 during the generation of a television picture of the selected chart. Each chart in this embodiment of the present invention which is processed for display possesses a set of origin coor¬ dinates such as the latitude and longitude of its lower left corner and at a scale that is established by the specification of its north-south and east-west intervals. In addition, there is an internal boundary that is used as a test for the start of an automatic advance of the chart display to the next chart or chart segments required.

Along with the process of selecting and dis¬ playing an appropriate navigational chart dependent upon the vessel's computed position, the vessel position computer 80 is also coupled to a hull graphic generator 100 which couples into the electronic chart memory 86 and is operable to generate the picture of the vessel as shown in Figure 4 at the latitude and longitude coordinates of the vessel's computed position. As shown, this is generated through the color table 96.

In the case where the vessel 48 is to be portrayed in the color black, the color table 96 passes the signals from the hull graphic generator 100 to the CRT 94 without change. In addition to the display of an electronic chart in response to the vessel's computed position, the computed position output bus 82 is coupled to computer means 102 designated an alpha—numeric data computer which also is coupled to the way point files 34 of the digital memory 30 as shown in Figure 3, which as noted earlier, contains data as to the loca¬ tion of predetermined way points and other objects needed for making a safe passage through the area of use. The computer 102, for example, is operable in accordance with stored programs included in the refer¬ ence listing to compute bearing and distance to any way point as well as bearing and distance to any other place or object that is determined by the position of a cursor generated by means 104 which can be controlled by the operator. These calculations are a simple matter of taking the vessel's present position and doing known trigonometric relationships that result in the angle and distance from the vessel's location to some pre-selected position. These results are fed out of the computer 102 and operate to generate display section 42 as shown in Figure 4. In addition to the foregoing calculations, the computer 124 also is adapted to calculate "speed made good" and "course made good" computations from the succession of computed Loran positions outputted from the vessel position computer 104. This is simply a matter of noting the distance traversed during the time it takes to go from one com¬ puted position to the next. By noting the difference in position, the "course made good" computation can also be obtained.

Up to this point what has been shown and

described is the generation and displaying of an elec¬ tronic navigational chart including the vessel's loca¬ tion thereon together with selected alpha-numeric data resulting from the operation of a differential Loran position fixing system. This forms one major part of the invention.

However, the present invention has for its further objective the simultaneous display of a map of radar targets detected by the radar 26 against the background of the electronic chart displayed on the CRT 94. The radar signals contain echoes both from land targets as well as targets in and on the water. The latter are desirable and are displayed while the radar's impression of the shore line and adjoining land mass are undesirable and are suppressed as the follow¬ ing discussion will illustrate. In order to combine the radar display with the navigational chart, however, one must first reference the radar echoes received in the geographic framework of the electronic chart gen- erated rather than the attitude or heading of the radar platform, i.e. the vessel 48. The reason for this is that the radar 26 and its scanning antenna is refer¬ enced to the vessel and not the chart.

In order to integrate the radar display and chart into a composite display, three analog outputs are obtained from the radar 26 and are shown in Figure 6 comprising signals of: (a) the scanned antenna azi¬ muth angle relative to the fore and aft of the vessel; (b) the radar's receiver video signals which include target signals; and (c) the radar's synchronizer pulse. The radar image signals of the target echoes i.e. the video signal, is first quantized and digitized for obtaining range and bearing data which is then con¬ verted from polar coordinates into coordinates of longitude and latitude. As shown in Figure 6, range and bearing information is obtained in digital form by

first coupling the analog signal of the azimuth angle of the radar antenna and appearing on signal line 106 to a first analog to digital converter 108 while an analog signal appearing on signal line 110 and corres- ponding to true North compass bearing and provided by the vessel's compass 28, for example, is fed to a second analog to digital converter 112. The digital outputs of the analog to digital converters 108 and 112 are added together in a digital adder 114 which is operable to provide digital bearing signals which are refer¬ enced to true North. Simultaneously, the radar signal echoes which reside in the video signal output of the radar 26 on signal line 116 are fed to a quantizer 118 which also has the synchronizing pulse applied thereto from signal line 120. The quantized video output signal from the quantizer 118 is fed to a third analog to digital converter 120 which provides a digital output of range of the target images. The outputs .R and 9 from A/D converter 120 and the adder 114 are next fed into a polar to rectangular coordinate con¬ verter 122 which comprises a digital multiplier. The converter 122 is operable to calculate X = Rsin9 and Y = Rcosθ which now comprise digital signals expressed in rectangular X and Y coordinates. The X and Y co- ordinate signals are next fed to a digital adder 124 which is coupled to the digital output signal bus 82 of the vessel position computer 80. The adder 124 operates to add the offset of the vessel's current position in longitude L and latitude to the X and Y coordinate signals which operate to match the radar image to the displayed chart so that each target is correctly positioned on the electronic chart displayed on the CRT 94. In other words, the radar image and the electronic chart will be merged into a composite display.

The quantized video signal from the quantizer

118 is further fed into a temporary radar display memory 126 and target signals are located in either of two matrix memories 128 and 130 calling for the color red or magenta depending upon the signal level of the video signal out of the radar 26 and which appears on signal line 132. For relatively strong signals, the quantized video signals on digital signal bus 134 are stored in X and Y coordinates of the red memory 128 in response to X' and Y' coordinate signals fed out of the offset adder 124, whereas relatively weaker signals are stored in the same fashion in the magenta memory 130. As in the case for the electronic chart memory 86, the radar display memory 126 is controlled by the synchronizer 98 which also controls the CRT 94 and thus operates in timed relationship therewith. Shore contours and the adjacent land mass radar echoes comprise relatively strong target signals and are thus fed into and out of the red memory matrix 128 to the color table 96. Suppression of land echoes including shore contours in favor of that provided by the elec¬ tronic chart displayed is achieved by means of the color table 96 which operates to inhibit any color signal except yellow from being coupled to the CRT 96 from the memories 86 and 126 if a yellow signal is being fed out of chart memory 86. Since yellow is the color designated for land on an electronic chart, when the electronic chart memory 86 calls for yellow, no red or magenta signals from the radar display memory 126 will be permitted to pass to the CRT 94. However, any red or magenta signals that appear at a time when a color other than yellow is called for, for example blue, green or white, the radar signals colored red or magenta will be passed through the color table 96 to the CRT 94 and will be displayed. Accordingly, all radar return signals will be displayed except those of the shore line and the adjoining land mass.

Thus what is provided is a combined display where the yellow shore line is portrayed in yellow and where the blue water is also capable of displaying red or magenta wherever there is an echo of a ship or other target. In this manner, a clarified display is pro¬ vided in the sense that instead of seeing a normally relatively fuzzy, smeared and incomplete radar picture, there is presented a sharp yellow drawing of land, while there is provided a clear display of targets that are stationary or moving in the water. Addition¬ ally, since a moving target such as a ship is displaced each time a radar sweep occurs, the target will fall in a different place on the screen or the CRT 94 so that a red line is portrayed thereon which results from motion of the target such as another vessel under way. If it is a stationary target such as a light¬ house, the repetitive radar echoes will repetitively be displayed at a single spot. If a buoy, for example, has moved from its designated spot both its present location as provided by the radar and its proper location as provided by the electronic chart will both appear in the composite display. In order to prevent the screen of the CRT 94 from being unduly cluttered with undesirably long tracks, the raster is periodi- cally dumped to provide a fresh image.

Thus what has been shown and described is a new and improved system for radio navigation which is applicable to all vehicles but particularly ships navigating in a harbor or the like. Highly accurate position fixes provided by Loran, for example, is com¬ bined with a display of position that is enhanced by means of an integrated display of surrounding targets provided by an object detection system such as radar. While control and computation may be achieved by hard- ware means, these actions are preferably implemented in the software set forth in the programs expressed

in the referenced computer listing submitted herewith as Appendix I.

While there has been shown and described what is at present considered to be the preferred embodiment of the present invention, modifications thereto will readily occur to those skilled in the art. It is not desired, therefore, that the invention be limited to the specific embodiment shown and described, but it is intended to cover all forms of implementation including all modifications, alterations, changes falling within the true spirit and scope of the inven¬ tion as defined in the appended claims.