Parameter Estimation of Linear Frequency Modulation Signal Based on Interpolated Short-time Fractional Fourier Transformand Variable Weight Least Square Fitting

doi:10.3969/j.issn.1000-1093.2020.01.010

Abstract

Abstract: A Rife interpolation short-time fractional Fourier transform (STFRFT) -variable weight least square fitting (VWSF) algorithm is proposed for solving the problem of low parameter estimation accuracy of linear frequency modulation (LFM) signal under low signal-to-noise ratio (SNR). STFRFT is used to improve the aggregation of LFM signals, and the estimation accuracy of instantaneous frequency of signal is improved by VWSF, thus estimating the instantaneous frequency, initial frequency and modulation frequency of LFM signal. The Cramer-Rao lower bound (CRLB) of the signal parameters estimation is derived, and the factors affecting the estimated parameter CRLB and the variation of CRLB with it are analyzed. The simulated results show that the Rife interpolation STFRFT-VWSF algorithm has better estimation accuracy of LFM signal parameters, the parameter estimation and CRLB theoretical analysis are rational, and the feasibility of the algorithm is proven through sea test. Key

Key words: linearfrequencymodulationsignal, parameterestimation, short-timefractionalFouriertransform, variableweightleastsquarefitting, Rifeinterpolation, Cramer-Raolowerbound

CLC Number:

TN911.72

CAO Weihao， YAO Zhixiang， XIA Wenjie， YAN Su. Parameter Estimation of Linear Frequency Modulation Signal Based on Interpolated Short-time Fractional Fourier Transformand Variable Weight Least Square Fitting[J]. Acta Armamentarii, 2020, 41(1): 86-94.

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第41卷第1期
2020 年1月兵工学报ACTA
ARMAMENTARIIVol.41No.1Jan.2020

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