×

Satellite navigation method

  • US 5,831,575 A
  • Filed: 10/09/1996
  • Issued: 11/03/1998
  • Est. Priority Date: 04/12/1994
  • Status: Expired due to Term
First Claim
Patent Images

1. Satellite navigation system having a mobile user receiver and a reference station, whose position is known, wherein the signals emitted by a plurality of satellites are received and evaluated in the user receiver and the reference station, and the position of the user receiver is thereby determined, whereinthe signals received from a plurality of satellites (Si, Sj) and/or pseudo-satellites are evaluated in the user receiver and reference station (Ref) by means of a carrier-phase measurement according to the formula


  • space="preserve" listing-type="equation">.o slashed..sub.E.sup.S=( 1/λ



    (R.sub.E.sup.S +Δ

    R.sup.S +Δ

    R.sub.E +ε

    .sub.E.sup.S)+N.sub.E.sub.S
whereφ

ES is the measured carrier phase;

λ

is the wavelength of the emitted GNSS carrier signal;

RES is the geometric distance from the satellite to the receiver;

Δ

RS are errors correlated between satellites;

Δ

RE are errors correlated between receivers;

ε

ES are errors such as multiple-path propagation and dynamic influences;

NES is the phase ambiguity at an initial time t0 andtriple difference is formed from the carrier phases determined at the initial time (t0) and a current time (t where t>

t0) according to the formula


space="preserve" listing-type="equation">ovΔ

.o slashed.={ ¥

.sub.F (t)-.o slashed..sub.R (t)!- .o slashed..sub.F.sup.j (t)-.o slashed..sub.R.sup.j (t)!}-{ .o slashed..sub.F (t.sub.0)-.o slashed..sub.R (t.sub.0)!- .o slashed..sub.F.sup.i (t.sub.0)-.o slashed..sub.R.sup.j (t.sub.0)!}where.o slashed. is the carrier phase,Δ

is the difference shown in square brackets,∇

is the difference shown in wavy brackets,δ

is the difference between the sets of wavy brackets,t is the current time,t0 is the initial time,φ

Ri (t) is the carrier phase of the satellite Si measured at the reference station Ref at time t,φ

Fi (t) is the carrier phase of the satellite Si measured at the user receiver F at time t,φ

Rj (t) is the carrier phase of the satellite Sj measured at the reference station Ref at time t,φ

Fj (t) is the carrier phase of the satellite Sj measured at the user receiver F at time t,φ

Ri (t) is the carrier phase of the satellite Si measured at the reference station Ref at initial time t0

Fi (t0) is the carrier phase of the satellite Si measured at the user receiver F at initial time t0

Rj (t0) is the carrier phase of the satellite Sj measured at the reference station Ref at initial time t0

Fj (t0) is the carrier phase of the satellite Sj measured at the user receiver F at initial time t0,characterized in thatthe positions of the user receiver at times t and t0 are determined from the triple difference using an analytical method with at least six triple-difference equations that have been linearized around an estimation point, whereinthe position of the user receiver at an initial time (t0) is evaluated statistically based on its temporally-unchanged characteristic, that the values of the position at the initial time (t0), which have been determined with the use of the position solution with six unknowns, are smoothed by low-pass filtering,the statistically-evaluated position of the user receiver at the initial time (t0) is inserted as a known position into the observation equations, and only the current position of the user receiver is subsequently determined at a predefinable, current time (t).

View all claims
  • 1 Assignment
Timeline View
Assignment View
    ×
    ×