Joint Estimation Method of Velocity, Angle and Distance Based on Conjugate zc Sequence Pair
A technology of joint estimation and sequence pairing, which is applied in the field of wireless positioning, can solve the problems of not considering non-integer multiples of Nyquist sampling delay and not being able to distinguish multi-path dense signals well, and achieve low hardware implementation complexity , the effect of reducing the computational complexity
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Embodiment 1
[0144] Embodiment 1, considering that there are two paths in total, the frequency offset is ξ=[3×10 -5 , 7×10 -5 ] T s , the angle is θ=[5°, 20°], the time delay is τ=[1.2, 1.3]Ts, the channel gain where φ 1 and φ 2 is a randomly generated random number. The transmission distance and speed of the two paths correspond to ρ=[18,19.5]m and v=[75,175]m / s respectively. Figure 6 The root mean square error (RMSE) curves of the velocity, angle, and distance estimates for the two path signals and their Cramelau lines (CRB). Simulation shows that the present invention can effectively estimate the speed, angle and distance of the multipath signal, and can achieve speed measurement accuracy of 1m / s, distance measurement accuracy of 1cm, and angle measurement accuracy of 0.01°.
Embodiment 2
[0145] In embodiment 2, considering the situation of two paths with the same channel gain, it is explored that the estimation result changes with the change of the angle difference and time delay difference between the two paths. The frequency deviation ξ of the two paths = [10 -5 , 10 -5 ] / T s , the angle is θ=[10°, 10°+Δθ], and the time delay is τ=[1.1, 1.1+Δτ]T s , the signal-to-noise ratio is 20dB. Figure 7 The first three pictures of the first path show the RMSE results of the frequency offset, angle, and delay of the first path signal, and the last three pictures show the corresponding CRB. The simulated contour shows that even in a harsh environment with dense multipaths, the present invention can distinguish multipaths by using time and space differences, and the simulation performance can approach CRB.
Embodiment 3
[0146] In embodiment 3, considering two paths with the same channel gain, the estimation accuracy of the alternate projection method used in the present invention is compared with that of the SAGE method. The frequency deviation ξ of the two paths = [10 -5 , 10 -4 ] / T s , the angle is θ=[10°, 15°], and the time delay is τ=[1.1, 1.1+Δτ]T s , the signal-to-noise ratio is 20dB. Figure 8 , Figure 9 , Figure 10 The variation of the RMSE results of frequency offset, angle and delay of the first path signal with the delay difference between the two paths is given. Simulation shows that the method of the present invention is better than the method of SAGE: with Δτ=0.25T s For example, the accuracy of frequency offset, angle and delay of SAGE method is 2×10 -5 / T s (corresponding to a speed error of 50m / s), 1.1°, 0.06T s (corresponding to the distance error of 90cm); and the frequency deviation, angle and time delay accuracy of the method of the present invention are 2.8×10...
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