Systems Engineering and Electronics

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Nonlinear least-squares spectral moment estimation algorithm

LU Xiaoguang1,2, WU Renbiao2   

  1. (1.School of Electronic Information Engineering, Tianjin University, Tianjin 300072, China;2.Tianjin KeyLaboratory for Advanced Signal Processing, Civil Aviation University of China, Tianjin 300300, China)
  • Online:2014-03-24 Published:2010-01-03

Abstract:

The clear air turbulence and the dry windshear cannot be effectively detected by the airborne weather radar because of the low signal-to-noise ratio (SNR). A parametric spectral moment estimation method is proposed, which is based on a nonlinear leastsquares (NLS) fit of the autocorrelation sequence of the radar echoes. And the relaxation-based method is used to solve the NLS problem when the echoes are mixed up with several echoes with Gaussianshaped spectrum. Also, a fast algorithm is given, which substitutes the 2D-search with a two 1D-search. Finally, theoretical and numerical simulation results are presented to verify the performances. It is demonstrated that the presented method is effective in low SNR.

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