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
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[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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