• Laser & Optoelectronics Progress
  • Vol. 58, Issue 23, 2306001 (2021)
Yuhua Xing and Qi Zheng*
Author Affiliations
  • Faculty of Automation and Information Engineering, Xi'an University of Technology, Xi'an 710048, China
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    DOI: 10.3788/LOP202158.2306001 Cite this Article Set citation alerts
    Yuhua Xing, Qi Zheng. Research and Application of Generalized Cross Correlation in Chaotic Spread Spectrum Time Delay Estimation[J]. Laser & Optoelectronics Progress, 2021, 58(23): 2306001 Copy Citation Text show less

    Abstract

    In the time delay estimation of chaotic spread spectra, the main peak to side lobe ratio obtained by using basic cross-correlation is not ideal, and the peak values of misjudged points are too large. Based on the advantages of generalized cross correlation (GCC) which can realize pre-filtering of signals and properly eliminate the influences of noise and interference in the received signal, we analyze three commonly used weighting functions of GCC, and we find that SCOT weighting function can suppress the noise of the transmitted signal and the received signal at the same time. Three commonly used weighting functions are applied to the Simulink simulation model of chaotic time delay estimation. The simulation results show that the results of generalized cross-correlation using SCOT weighting function are better than that of the basic cross-correlation and the other two commonly used weighting functions. Compared with the basic cross-correlation results, the main peak to side lobe ratio obtained by the generalized cross-correlation using SCOT weighting function increases by more than 0.9 dB, and the ratio of the peak value of the misjudgment point to the peak value of the fault point decreases by more than 0.2.
    xn=sn+n1nyn=kaksn-d+n2n
    Rxy(τ)=E{[s(n)+n1(n)][kaks(n-d)+n2(n)]}=kakRssτ-d+kakRsn1τ-d+Rsn2τ+Rn1n2τ
    Rxyτ=kakRssτ-d
    Rxyτ=-Pxyωej2πωτdω
    Rxygτ=-WωPxyωej2πωτdω
    Wω=1Pxx
    RxyRτ=-PxyωPxxωej2πωτdω=-PssωPssω+Pn1n1ej2πωτdω
    Wω=1Pxy
    RxyP=-PxyωPxyωej2πωτdω
    Wω=1PxxPyy12
    RxyRτ=-PxyωPxxωPyyω12ej2πωτdω=-PssωPss2ω+Pn1n1ωPssω+Pn2n2ωPssω12ej2πωτdω
    VPSLR=10×lgP0P1
    N=N1N0
    Yuhua Xing, Qi Zheng. Research and Application of Generalized Cross Correlation in Chaotic Spread Spectrum Time Delay Estimation[J]. Laser & Optoelectronics Progress, 2021, 58(23): 2306001
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