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Complex signal time delay estimation method based on least square sample fitting

A time-delay estimation and least-squares technique, applied in the field of improving the performance of time-delay estimation for Gaussian signals, can solve problems such as low accuracy of time-delay estimation

Active Publication Date: 2018-08-31
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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  • Complex signal time delay estimation method based on least square sample fitting
  • Complex signal time delay estimation method based on least square sample fitting
  • Complex signal time delay estimation method based on least square sample fitting

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Embodiment Construction

[0066] The specific embodiments of the present invention will be further described below in conjunction with the accompanying drawings.

[0067] The least squares sample fitting delay estimation method of this embodiment includes the following steps:

[0068] S1, establish passive delay estimation model: (such as figure 1 , figure 2 shown)

[0069] x 1 [n]=s[n]+z 1 [n], n=0,1,...,N-1,

[0070] x 2 [n]=αs[n-D]+z 2 [n], n=0,1,...,N-1,

[0071] 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.

[0072] S2. Model assignment in step S1: attenuation coefficient α=1, time delay D=0.01, number of points N=1000.

[0073] S3, give the cost function corresponding to the model After expanding the cost function, take out the cross-correlation function part

[0074] 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. In the method, cross-correlation cost functions are firstly given, a sinc interpolation formula is used for estimating a correlative data value by a finite quantity of samples, the cost function of a model is minimized through an LS (Least Square) criterion, an almost-unbiased estimation value is obtained, and a CRLB (Cramer-Rao Lower Bound) expression of an algorithm is given. An experiment indicates that accuracy on the basis of the least square sample fitting is higher by aiming at aGaussian signal, and the estimation performance of a time delay estimation algorithm based on the least square is obviously higher than the estimation performance of a traditional time delay estimation algorithm under a condition of a certain signal-to-noise ratio or certain signal length. Particularly, the performance of a cross-correlation algorithm and an MMSE (Minimum Mean Square Error)-basedalgorithm is obviously lowered for the randomness of the Gaussian signal. The method 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 Applications(China)
IPC IPC(8): G06F17/50G06F17/18
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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