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SCIENCE CHINA Information Sciences, Volume 63, Issue 2: 129301(2020) https://doi.org/10.1007/s11432-018-9859-4

Extraction of a target in sea clutter via signal decomposition

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  • ReceivedDec 6, 2018
  • AcceptedApr 8, 2019
  • PublishedSep 24, 2019

Abstract

There is no abstract available for this article.


Supplement

Appendix A.


References

[1] Chen X, Guan J, Bao Z. Detection and Extraction of Target With Micromotion in Spiky Sea Clutter Via Short-Time Fractional Fourier Transform. IEEE Trans Geosci Remote Sens, 2014, 52: 1002-1018 CrossRef ADS Google Scholar

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[6] Farshchian M. Target Extraction and Imaging of Maritime Targets in the Sea Clutter Spectrum Using Sparse Separation. IEEE Geosci Remote Sens Lett, 2017, 14: 232-236 CrossRef ADS Google Scholar

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  • Figure 1

    (Color online) (a) Target at the edge of sea clutter; (b) target covered by sea clutter; (c) probability of detection versus different SCR levels.

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    Algorithm 1 Signal separation algorithm

    Require:$x$;

    initialization ${w_1}$, ${w_2}$, ${d_1}$, ${d_2}$, $\lambda~$, $\mu$, $N$;

    Iteration:

    for $i=1$ to $N$

    ding192 Computing sparse coefficient ${u_1},{u_2}$:${u_1}~=~{\rm~soft}({w_1}~+~{d_1},0.5{\lambda~_1}/\mu~)~-~{d_1}$, ${u_2}~=~{\rm~soft}({w_2}~+~{d_2},0.5{\lambda~_2}/\mu~)~-~{d_2}$;

    ding193 Refactoring $s,c$:$s=~{\rm~FrFT}_{\rm{-~opt}}(~{{u_1}})$,$c=~{\rm~ISTFT}(~{{u_2}}~)$;

    ding194 Calculating residual $R$: $R~=~x~-~s~-~c$;

    ding195 Calculating residual coefficient ${d_1},{d_2}$:${d_1}~=~\frac{1}{2}~{\rm~FrFT}_{~\rm{opt}}(~{{R}})$,${d_2}~=~\frac{1}{2}~{\rm~STFT}(~{{R}}~)$;

    ding196 Updating the sparse coefficient ${w_1},{w_2}$:${w_1}~=~{d_1}~+~{u_1}$,${w_2}~=~{d_2}~+~{u_2}$;

    end for

    Output: $s=~{\rm~FrFT}_{\rm{-~opt}~}(~{{w_1}})$,

    $c=~{\rm~ISTFT}(~{{w_2}}~)$.

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