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Method of and apparatus for obtaining vehicle heading information

  • US 5,119,101 A
  • Filed: 05/20/1991
  • Issued: 06/02/1992
  • Est. Priority Date: 06/18/1990
  • Status: Expired due to Term
First Claim
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1. A method of obtaining vehicle heading information from a global positioning system (GPS), characterized in that the heading information is determined from


  • space="preserve" listing-type="equation">kΔ

    f=kΔ

    d+V.sub.1X ·

    cosθ

    .sub.1X +V.sub.1Y ·

    cosθ

    .sub.1Y +V.sub.1Z ·

    cosθ

    .sub.1Z -m·

    cosφ

    ·

    cosθ

    .sub.1N -m·

    sinφ

    cosθ

    .sub.1E
where k is equal to the speed of light c divided by the GPS center frequency, Δ

f is the total frequency offset perceived at the vehicle by a GPS receiver, Δ

d is the amount by which the frequency of any local oscillator(s) in the GPS receiver have drifted from a nominal frequency, V1X is the velocity of a satellite in the direction X, V1Y is the velocity of the satellite in the direction Y, V1Z is the velocity of the satellite in the direction Z, where X,Y,Z are the axes of an Earth centered, Earth fixed (ECEF) coordinate system, θ

1X is the angle between the line joining the vehicle and the satellite to the axis X, θ

1Y is the angle between the line joining the vehicle and the satellite to the axis Y, θ

1Z is the angle between the line joining the vehicle and the satellite to the axis Z, m is the speed of the vehicle, φ

is the vehicle'"'"'s heading from its local North axis, θ

1N is the angle between the line joining the vehicle and the satellite to the vehicle'"'"'s local North axis, θ

1E is the angle between the line joining the vehicle and the satellite to the vehicle'"'"'s local East axis.

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