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Speed, angle and distance joint estimation method based on conjugate ZC sequence pairs

A joint estimation and sequence pair technique, applied in distance joint estimation, based on the velocity and angle fields of conjugated ZC sequence pairs, it can solve the problem of not considering the non-integer Nyquist sampling delay and not being able to distinguish multipath very well. Intensive signals and other problems, to achieve the effect of low hardware implementation complexity and reduced computational complexity

Active Publication Date: 2021-07-23
FUDAN UNIV
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AI Technical Summary

Problems solved by technology

However, in some scenarios where the Global Positioning System (GPS) cannot be covered or in the future 5G autonomous driving, technologies that can achieve high-resolution positioning are urgently needed, and even centimeter-level positioning accuracy is required.
[0003] Most of the existing research work only considers the joint estimation of delay and angle, or cannot distinguish multipath dense signals well, or does not consider non-integer multiples of Nyquist sampling delay

Method used

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  • Speed, angle and distance joint estimation method based on conjugate ZC sequence pairs
  • Speed, angle and distance joint estimation method based on conjugate ZC sequence pairs
  • Speed, angle and distance joint estimation method based on conjugate ZC sequence pairs

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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. Image 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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Abstract

The invention belongs to the technical field of wireless positioning, and relates to a speed, angle and distance joint estimation method based on conjugate ZC sequence pairs. The method comprises the following steps of: designing a pair of conjugated ZC sequences as sending sequences at a sending end; at a receiving end, receiving multipath signals containing different transmission delays, Doppler frequency offsets and angles, and performing parameter estimation by using a maximum likelihood method; converting a high-dimensional parameter estimation problem into a plurality of low-dimensional parameter estimation problems by using an alternating projection method; for parameter estimation of a single path, based on the property of the ZC sequences, converting two-dimensional estimation of time delay and frequency offset into two one-dimensional estimations, and then carrying out accurate estimation through Newton iteration. According to the method of the invention, high-precision transmission time delay, Doppler frequency offset and angle estimation can be realized under the condition of low bandwidth. Simulation shows that 1cm distance estimation precision, 1m / s speed estimation precision and 0.01-degree angle estimation precision can be realized under the condition of 20MHz bandwidth.

Description

technical field [0001] The invention belongs to the technical field of wireless positioning, and in particular relates to a method for jointly estimating speed, angle and distance based on conjugated ZC sequence pairs. Background technique [0002] Wireless ranging and positioning algorithms have practical applications in daily life, and have broad applications in indoor positioning, Internet of Vehicles, and automatic driving. With the development of 5G and IoT technologies, positioning-related technologies are attracting more and more attention. Market research firm Markets and Markets predicted in an analysis report published in 2020 that the global indoor positioning market size will rise from US$7.11 billion in 2017 to US$40.99 billion in 2022[1]. However, in some scenarios where the Global Positioning System (GPS) cannot be covered or in the future 5G autonomous driving, technologies that can achieve high-resolution positioning are urgently needed, and even centimeter...

Claims

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Application Information

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IPC IPC(8): G01S5/02G06F17/15G06F17/16G06F30/20
CPCG01S5/0215G06F17/15G06F17/16G06F30/20
Inventor 蒋轶杨智宇王锐
Owner FUDAN UNIV
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