Method and apparatus for developing relative direction and distance data

Claim 1

A method for locating a source with respect to a moving vehicle, one of said source and vehicle transmitting a stable frequency signal, which method comprises, at the other of said source and moving vehicle, the steps of: receiving the transmitted stable frequency signal, continuously comparing the phase difference between said received signal and a standard signal having approximately the same frequency as said received signal to develop a time history of the relative distance traveled by the one of said source and vehicle with respect to the other, and ascertaining from assumed approximate initial range and direction of one of said source and vehicle with respect to the other and from said time history of relative distance traveled by computational procedure the relative direction and distance of said source with respect to said vehicle.

Claim 2

A method for locating a source with respect to a moving vehicle, one of said source and vehicle transmitting a stable frequency signal, which method comprises, at the other of said source and moving vehicle, the steps of: receiving the transmitted stable frequency signal, continuously comparing the phase difference between said received signal and a standard signal having approximately the same frequency as said received signal to develop a time history of the relative distance traveled by the one of said source and vehicle with respect to the other, and ascertaining from assumed approximate initial range and direction of one of said source and vehicle with respect to the other and from said time history of relative distance traveled by computational procedure the relative direction and distance of said source with respect to said vehicle.

Claim 3

A methOd for locating a source with respect to a moving vehicle, said source transmitting a carrier wave modulated with a stable signal, which method comprises, at the moving vehicle, the steps of: receiving the transmitted modulated carrier, demodulating the carrier to develop the received signal, continuously comparing the phase difference between said received signal and a standard signal having approximately the same frequency as said received signal to develop a time history of the relative distance traveled by the moving vehicle with respect to said source, and ascertaining from assumed approximate initial range and direction of the source with respect to the vehicle and from said time history of relative distance traveled by computational procedure the relative direction and distance of the source with respect to the vehicle.

Claim 4

A methOd for locating a source with respect to a moving vehicle, said source transmitting a carrier wave modulated with a stable signal, which method comprises, at the moving vehicle, the steps of: receiving the transmitted modulated carrier, demodulating the carrier to develop the received signal, continuously comparing the phase difference between said received signal and a standard signal having approximately the same frequency as said received signal to develop a time history of the relative distance traveled by the moving vehicle with respect to said source, and ascertaining from assumed approximate initial range and direction of the source with respect to the vehicle and from said time history of relative distance traveled by computational procedure the relative direction and distance of the source with respect to the vehicle.

Claim 11

A method for locating a source with respect to a moving vehicle, said source transmitting a carrier wave modulated with a stable sine wave signal, which method comprises, at the moving vehicle, the steps of: receiving the transmitted modulated carrier, demodulating the carrier to develop the received sine wave signal, separating the received sine wave signal from other demodulation signals which might be present, continuously comparing the frequency or phase difference between said received sine wave signal and a standard signal having approximately the same frequency as said received sine wave signal to develop a time history of the relative distance traveled by the moving vehicle with respect to said source, and ascertaining from assumed approximate initial range and direction of the source with respect to the vehicle and from said time history of relative distance traveled by computational procedure the relative direction and distance of the source with respect to the vehicle.

Claim 12

A method for locating a source with respect to a moving vehicle, said source transmitting a carrier wave modulated with a stable sine wave signal, which method comprises, at the moving vehicle, the steps of: receiving the transmitted modulated carrier, demodulating the carrier to develop the received sine wave signal, separating the received sine wave signal from other demodulation signals which might be present, continuously comparing the frequency or phase difference between said received sine wave signal and a standard signal having approximately the same frequency as said received sine wave signal to develop a time history of the relative distance traveled by the moving vehicle with respect to said source, and ascertaining from assumed approximate initial range and direction of the source with respect to the vehicle and from said time history of relative distance traveled by computational procedure the relative direction and distance of the source with respect to the vehicle.

Claim 13

A method for locating a station with respect to a moving source, said source transmitting a carrier wave modulated with a stable signal, which method comprises, at the station, the steps of: receiving the transmitted modulated carrier, demodulating the carrier to develop the received signal, continuously comparing the phase difference between said received signal and a standard signal having approximately the same frequency as said received signal to develop a time history of the relative distance traveled by the moving source with respect to said station, and ascertaining from assumed approximate initial range and direction of the station with respect to the source and from said time history of relative distance traveled by computational procedure the relative direction and distance of the station with respect to the source.

Claim 14

A method for locating a station with respect to a moving source, said source transmitting a carrier wave modulated with a stable signal, which method comprises, at the station, the steps of: receiving the transmitted modulated carrier, demodulating the carrier to develop the received signal, continuously comparing the phase difference between said received signal and a standard signal having approximately the same frequency as said received signal to develop a time history of the relative distance traveled by the moving source with respect to said station, and ascertaining from assumed approximate initial range and direction of the station with respect to the source and from said time history of relative distance traveled by computational procedure the relative direction and distance of the station with respect to the source.

Claim 15

A method for locating a station with respect to a moving source, said source transmitting a carrier wave modulated with a stable sine wave signal, which method comprises, at the station, the steps of: receiving the transmitted modulated carrier, demodulating the carrier to develop the receiveD sine wave signal, separating the received sine wave signal from other demodulation signal which might be present, continuously comparing the frequency or phase difference between said received sine wave signal and a standard signal having approximately the same frequency as said received sine wave signal to develop a time history of the relative distance traveled by the moving source with respect to said station, and ascertaining from assumed approximate initial range and direction of the station with respect to the source and from said time history of relative distance traveled by computational procedure the relative direction and distance of the station with respect to the source.

Claim 16

A method for locating a station with respect to a moving source, said source transmitting a carrier wave modulated with a stable sine wave signal, which method comprises, at the station, the steps of: receiving the transmitted modulated carrier, demodulating the carrier to develop the receiveD sine wave signal, separating the received sine wave signal from other demodulation signal which might be present, continuously comparing the frequency or phase difference between said received sine wave signal and a standard signal having approximately the same frequency as said received sine wave signal to develop a time history of the relative distance traveled by the moving source with respect to said station, and ascertaining from assumed approximate initial range and direction of the station with respect to the source and from said time history of relative distance traveled by computational procedure the relative direction and distance of the station with respect to the source.

Claim 31

A method for locating a source with respect to a moving vehicle, one of said source and vehicle transmitting a stable frequency signal, which method comprises, at the other of said source and moving vehicle, the steps of: receiving the transmitted stable frequency signal, continuously comparing the phase difference between said received signal and a standard signal having approximately the same frequency as said received signal to develop a time history of the relative distance traveled by one of said source and vehicle with respect to the other, assigning each said source and said moving vehicle to parallel systems of Cartesian coordinates, iteratively ascertaining from assumed initial distance values in the assigned Cartesian coordinate system of said source and vehicle with respect to each other, the Cartesian coordinate distance values of the moving vehicle at selected periods of time from an assigned initial position of said vehicle, and from said time history of the relative distance traveled, the relative direction and distance of said source with respect to said vehicle.

Claim 32

A method for locating a source with respect to a moving vehicle, one of said source and vehicle transmitting a stable frequency signal, which method comprises, at the other of said source and moving vehicle, the steps of: receiving the transmitted stable frequency signal, continuously comparing the phase difference between said received signal and a standard signal having approximately the same frequency as said received signal to develop a time history of the relative distance traveled by one of said source and vehicle with respect to the other, assigning each said source and said moving vehicle to parallel systems of Cartesian coordinates, iteratively ascertaining from assumed initial distance values in the assigned Cartesian coordinate system of said source and vehicle with respect to each other, the Cartesian coordinate distance values of the moving vehicle at selected periods of time from an assigned initial position of said vehicle, and from said time history of the relative distance traveled, the relative direction and distance of said source with respect to said vehicle.

Claim 34

A method for locating a source with respect to a moving vehicle, one of said source and vehicle transmitting a stable frequency signal, which method comprises, at the other of said source and moving vehicle, the steps of: receiving the transmitted stable frequency signal, assigning each said source and said moving vehicle to parallel systems of Cartesian coordinates, developing at successive n locations, x, y and Rho linearly independent measured sequences, wherein, n number of selected occurrences for which data is developed, x the first Cartesian coordinate axial distance moved from the initial relative position, y the second Cartesian coordinate axial dIstance moved from the initial relative position, and Rho relative distance travelled between source and vehicle from an assigned initial position, constructing orthonormal functions from said x, y and Rho sequences to fit the following equation: Rho 2 - (x2 + y2)/2 A.x + B.y - Ro. Rho , wherein, A the first Cartesian coordinate axial distance from the source to the vehicle in the initial position, B the second Cartesian coordinate axial distance from the source to the vehicle in the initial position, and Ro (A2 + B2)1/2 distance between source and vehicle at the initial position, and solving said equation for Ro, B and A from the measured values of x, y and Rho .

Claim 35

A method for locating a source with respect to a moving vehicle, one of said source and vehicle transmitting a stable frequency signal, which method comprises, at the other of said source and moving vehicle, the steps of: receiving the transmitted stable frequency signal, assigning each said source and said moving vehicle to parallel systems of Cartesian coordinates, developing at successive n locations, x, y and Rho linearly independent measured sequences, wherein, n number of selected occurrences for which data is developed, x the first Cartesian coordinate axial distance moved from the initial relative position, y the second Cartesian coordinate axial dIstance moved from the initial relative position, and Rho relative distance travelled between source and vehicle from an assigned initial position, constructing orthonormal functions from said x, y and Rho sequences to fit the following equation: Rho 2 - (x2 + y2)/2 A.x + B.y - Ro. Rho , wherein, A the first Cartesian coordinate axial distance from the source to the vehicle in the initial position, B the second Cartesian coordinate axial distance from the source to the vehicle in the initial position, and Ro (A2 + B2)1/2 distance between source and vehicle at the initial position, and solving said equation for Ro, B and A from the measured values of x, y and Rho .

Claim 36

A method for locating a source with respect to a moving vehicle, one of said source and vehicle transmitting a stable frequency signal, which method comprises, at the other of said source and moving vehicle, the steps of: receiving the transmitted stable frequency signal, assigning each said source and said moving vehicle to parallel systems of Cartesian coordinates, developing at successive n locations, x, y and Rho linearly-independent measured sequences, wherein, n number of selected occurrences for which data is developed, x the first Cartesian coordinate axial distance moved from the initial relative position, y the second Cartesian coordinate axial distance moved from the initial relative position, and Rho relative distance travelled between source and vehicle from an assigned initial position, constructing orthonormal sequences phi x, phi y and phi such that there exists constants relating x, y and Rho thereto, as follows: x C11 phi x, y C21 phi x + C22 phi y, and Rho C31 phi x + C32 phi y + C33 phi , multiplying the left side of the following governing equation term-by-term by phi x and summing to determine zx: Rho 2 - (x2 + y2)/z AC11 phi x + B(C21 phi x + C22 phi y) -Ro(C31 phi x + C32 phi y + C33 phi ), and the right side to determine zx AC11 + BC21 - RoC31, wherein, A the first Cartesian coordinate axial distance from the source to the vehicle in the initial position, B the second Cartesian coordinate axial distance from the source to the vehicle in the initial position, and Ro (A2 + B2)1/2 distance between source and vehicle at the initial position, multiplying the left side of said governing equation term-by-term by phi y and summing to determine zy, and the right side thereof to determine zy BC22 - RoC32, multiplying the left side of said governing equation term-by-term by phi and summing to determine z , and the right side thereof to determine z - RoC33, and solving said last three equations for Ro, B and A from said measured values of x, y and Rho .

Claim 37

A method for locating a source with respect to a moving vehicle, one of said source and vehicle transmitting a stable frequency signal, which method comprises, at the other of said source and moving vehicle, the steps of: receiving the transmitted stable frequency signal, assigning each said source and said moving vehicle to parallel systems of Cartesian coordinates, developing at successive n locations, x, y and Rho linearly-independent measured sequences, wherein, n number of selected occurrences for which data is developed, x the first Cartesian coordinate axial distance moved from the initial relative position, y the second Cartesian coordinate axial distance moved from the initial relative position, and Rho relative distance travelled between source and vehicle from an assigned initial position, constructing orthonormal sequences phi x, phi y and phi such that there exists constants relating x, y and Rho thereto, as follows: x C11 phi x, y C21 phi x + C22 phi y, and Rho C31 phi x + C32 phi y + C33 phi , multiplying the left side of the following governing equation term-by-term by phi x and summing to determine zx: Rho 2 - (x2 + y2)/z AC11 phi x + B(C21 phi x + C22 phi y) -Ro(C31 phi x + C32 phi y + C33 phi ), and the right side to determine zx AC11 + BC21 - RoC31, wherein, A the first Cartesian coordinate axial distance from the source to the vehicle in the initial position, B the second Cartesian coordinate axial distance from the source to the vehicle in the initial position, and Ro (A2 + B2)1/2 distance between source and vehicle at the initial position, multiplying the left side of said governing equation term-by-term by phi y and summing to determine zy, and the right side thereof to determine zy BC22 - RoC32, multiplying the left side of said governing equation term-by-term by phi and summing to determine z , and the right side thereof to determine z - RoC33, and solving said last three equations for Ro, B and A from said measured values of x, y and Rho .

Claim 38

A method for locating a source with respect to a moving vehicle, one of said source and vehicle transmitting a stable frequency signal, which method comprises, at the other of said source and moving vehicle, the steps of: receiving the transmitted stable frequency signal, assigning each said source and said moving vehicle to parallel systems of Cartesian coordinates, developing at successive n locations, x, y, z and Rho linearly-independent measured sequences, wherein n number of selected occurrences for which data is developed, x the first Cartesian coordinate axial distance moved from the initial relative position, y the second Cartesian coordinate axial distance moved from the initial relative position, z the third Cartesian coordinate axial distance moved from the initial relative position, and Rho relative distance travelled between source and vehicle from an assigned initial position, constructing orthonormal functions from said x, y, z and Rho sequences to fit the following equation: Rho 2 - (x2 + y2 + z2)/2 A.x + B.y + H.z - Ro. Rho , wherein A the first Cartesian coordinate axial distance from the source to the vehicle in the initial position, B the second Cartesian coordinate axial distance from the source to the vehicle in the initial position, H the third Cartesian coordinate axial distance from the source to the vehicle in the initial position, and Ro (A2 + B2 + H2)1/2 distance between source and vehicle at the initial position, and solving said equation for Ro, B, A and H from the measured values of x, y, z and Rho .

Claim 39

A method for locating a source with respect to a moving vehicle, one of said source and vehicle transmitting a stable frequency signal, which method comprises, at the other of said source and moving vehicle, the steps of: receiving the transmitted stable frequency signal, assigning each said source and said moving vehicle to parallel systems of Cartesian coordinates, developing at successive n locations, x, y, z and Rho linearly-independent measured sequences, wherein n number of selected occurrences for which data is developed, x the first Cartesian coordinate axial distance moved from the initial relative position, y the second Cartesian coordinate axial distance moved from the initial relative position, z the third Cartesian coordinate axial distance moved from the initial relative position, and Rho relative distance travelled between source and vehicle from an assigned initial position, constructing orthonormal functions from said x, y, z and Rho sequences to fit the following equation: Rho 2 - (x2 + y2 + z2)/2 A.x + B.y + H.z - Ro. Rho , wherein A the first Cartesian coordinate axial distance from the source to the vehicle in the initial position, B the second Cartesian coordinate axial distance from the source to the vehicle in the initial position, H the third Cartesian coordinate axial distance from the source to the vehicle in the initial position, and Ro (A2 + B2 + H2)1/2 distance between source and vehicle at the initial position, and solving said equation for Ro, B, A and H from the measured values of x, y, z and Rho .

Claim 40

A method for locating a source with respect to a moving vehicle, one of said source and vehicle transmitting a stable frequency signal, which method comprises, at the other of said source and moving vehicle, the steps of: receiving the transmitted stable frequency signal, assigning each said source and said moving vehicle to parallel systems of Cartesian coordinates, developing at successive n locations, x, y, z and Rho linearly-independent measured sequences, wherein, n number of selected occurrences for which data is developed, x the first Cartesian coordinate axial distance moved from the initial relative position, y the second Cartesian coordinate axial distance moved from the initial relative position, z the third Cartesian coordinate axial distance moved from the initial relative position, Rho relative distance travelled between source and vehicle from an assigned initial position, constructing orthonormal sequences phi x, phi y, phi z and phi such that there exists constants relating x, y, z and Rho thereto, as follows: x C11 phi x, y C21 phi x + C22 phi y, z C31 phi x + C32 phi y + C33 phi z, and Rho C41 phi x + C42 phi y + C43 phi z + C44 phi , multiplying the left side of the following governing equation term-by-term by phi x and summing to determine zx: Rho 2 - (x2 + y2 + z2)/2 AC11 phi x + B(C21 phi x + C22 phi y) + H(C31 phi x + C32 phi y + C33 phi z) - Ro(C41 phi x + C42 phi y + C43 phi z + C44 phi ), and the right side to determine zx AC11 + BC21 + HC31 - RoC41, wherein, A the first Cartesian coordinate axial distance from the source to the vehicle in the initial position, B the second Cartesian coordinate axial distance from the source to the vehicle in the initial position, H the third Cartesian coordinate axial distance from the source to the vehicle in the initial position, and Ro (A2 + B2 + H2)1/2 distance between source and vehicle at the initial position, multiplying the left side of said governing equation term-by-term by phi y and summing to determine zy, and the right side thereof to determine zy BC22 + HC32 -RoC42, multiplying the left side of said governing equation term-by-term by phi z and summing to determine zz, and the right side thereof to determine zz HC33 - RoC43, multiplying the left side of said governing equation term-by-term by phi and summing to determine z , and the right side thereof to determine z - RoC44, and solving said last four equations for Ro, B, A and H from said measured values of x, y, z and Rho .

Claim 41

A method for locating a source with respect to a moving vehicle, one of said source and vehicle transmitting a stable frequency signal, which method comprises, at the other of said source and moving vehicle, the steps of: receiving the transmitted stable frequency signal, assigning each said source and said moving vehicle to parallel systems of Cartesian coordinates, developing at successive n locations, x, y, z and Rho linearly-independent measured sequences, wherein, n number of selected occurrences for which data is developed, x the first Cartesian coordinate axial distance moved from the initial relative position, y the second Cartesian coordinate axial distance moved from the initial relative position, z the third Cartesian coordinate axial distance moved from the initial relative position, Rho relative distance travelled between source and vehicle from an assigned initial position, constructing orthonormal sequences phi x, phi y, phi z and phi such that there exists constants relating x, y, z and Rho thereto, as follows: x C11 phi x, y C21 phi x + C22 phi y, z C31 phi x + C32 phi y + C33 phi z, and Rho C41 phi x + C42 phi y + C43 phi z + C44 phi , multiplying the left side of the following governing equation term-by-term by phi x and summing to determine zx: Rho 2 - (x2 + y2 + z2)/2 AC11 phi x + B(C21 phi x + C22 phi y) + H(C31 phi x + C32 phi y + C33 phi z) - Ro(C41 phi x + C42 phi y + C43 phi z + C44 phi ), and the right side to determine zx AC11 + BC21 + HC31 - RoC41, wherein, A the first Cartesian coordinate axial distance from the source to the vehicle in the initial position, B the second Cartesian coordinate axial distance from the source to the vehicle in the initial position, H the third Cartesian coordinate axial distance from the source to the vehicle in the initial position, and Ro (A2 + B2 + H2)1/2 distance between source and vehicle at the initial position, multiplying the left side of said governing equation term-by-term by phi y and summing to determine zy, and the right side thereof to determine zy BC22 + HC32 -RoC42, multiplying the left side of said governing equation term-by-term by phi z and summing to determine zz, and the right side thereof to determine zz HC33 - RoC43, multiplying the left side of said governing equation term-by-term by phi and summing to determine z , and the right side thereof to determine z - RoC44, and solving said last four equations for Ro, B, A and H from said measured values of x, y, z and Rho .