A Complex Signal Delay Estimation Method Based on Least Squares Sample Fitting

A technology of time delay estimation and least squares is applied in the field of improving the performance of time delay estimation for Gaussian signals, which can solve the problems of low accuracy of time delay estimation and achieve the effect of high accuracy

Active Publication Date: 2021-12-21
地卫二空间技术(杭州)有限公司
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Problems solved by technology

[0008] For Gaussian random signals, in order to solve the problem of low accuracy of time delay estimation based on the existing cross-correlation algorithm and MMSE algorithm, the present invention provides a time delay estimation method based on least squares sample fitting

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  • A Complex Signal Delay Estimation Method Based on Least Squares Sample Fitting
  • A Complex Signal Delay Estimation Method Based on Least Squares Sample Fitting
  • A Complex Signal Delay Estimation Method Based on Least Squares Sample Fitting

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Embodiment Construction

[0067] The specific embodiments of the present invention will be further described below in conjunction with the accompanying drawings.

[0068] The least squares sample fitting delay estimation method of this embodiment includes the following steps:

[0069] S1, establish passive delay estimation model: (such as figure 1 , figure 2 shown)

[0070] x 1 [n]=s[n]+z 1 [n], n=0,1,...,N-1,

[0071] x 2 [n]=αs[n-D]+z 2 [n], n=0,1,...,N-1,

[0072] Generate three uncorrelated complex Gaussian sequences s[n], z 1 [n] and z 2 [n], and assume make Therefore z 1 [n] and z 2 [n] have the same power.

[0073] S2. Model assignment in step S1: attenuation coefficient α=1, time delay D=0.01, number of points N=1000.

[0074] S3, give the cost function corresponding to the model After expanding the cost function, take out the cross-correlation function part

[0075] S4. Use the interpolation formula to transform the result obtained in step S3, and give the cost function ...

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Abstract

The invention discloses a complex signal time delay estimation method based on least square sample fitting. The present invention first provides the cost function of cross-correlation, uses the sinc interpolation formula to estimate the relevant data value with a limited number of samples, and then minimizes the cost function through the least square (LS) criterion, and obtains and is close to unbiased estimation value, and gives the Cramereau lower bound (CRLB) expression for the algorithm. Experiments show that for Gaussian signals, the least squares-based sample fitting is more accurate, and the least-squares-based delay estimation algorithm has significantly higher estimation performance than the traditional one under the condition of a certain signal-to-noise ratio or signal length Latency Estimation Algorithm. In particular, it is pointed out that for the randomness of Gaussian signals, the performance of both the cross-correlation algorithm and the MMSE-based algorithm is significantly reduced, and the invention is an effective time delay estimation algorithm.

Description

technical field [0001] The invention belongs to the technical field of target location estimation and time difference measurement, in particular to a method for improving the performance of time delay estimation for Gaussian signals. Background technique [0002] Time delay is an important characteristic parameter to characterize the signal. It can accurately and quickly estimate the time delay between two or more space-separated sensors receiving signals and use other parameters to further determine the source distance, orientation, speed and other information. Therefore, the estimation of delay parameters has always been a very active research hotspot in signal processing technology, and is widely used in communication, radar, underwater acoustics, seismology, biomedicine and other fields. With the wide application of time delay estimation, time delay estimation methods need to consider more practical factors, such as non-stationary environment, correlated noise environmen...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/20G06F17/18
CPCG06F17/18G06F30/20
Inventor 沈雷章旭晖帅涛
Owner 地卫二空间技术(杭州)有限公司
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