Abstract
When using fractional Fourier transform (FrFT) to detect and estimate linear frequency-modulated continuous wave radar signals, two problems will appear: multiple peaks occur in FRFT image and the output SNR at the true parameter values does not increase when the observation time is longer than the signals period. A multiple period LFMCW signals parameters estimation method based on period FRFT (PFRFT) is studied in this paper. The PFRFT formula of multiple period LFMCW signals is given. The relationship among PFRFT output SNR, observation time and sample signals SNR is analyzed. The estimation accuracy formula of PFRFT is derived. At last, numerical simulation shows the effectiveness of the algorithm and PFRFT is superior to FRFT for estimating a multiple periods LFMCW signals.
Highlights
Linear frequency-modulated continuous wave (LFMCW) signal is used in various fields, including radar, sonar and electronic monitoring
Wigner-Ville distribution (WVD) can be effectively used for a single period LFMCW signal parameter estimation, in the case of multi-periods signals, cross-term would interfere estimation of signals center frequency and modulation frequency; Smooth Pseudo Wigner-Ville Distribution1(SPWVD) and Time-frequency distribution series(TFDS) can effectively suppress the influence of cross terms while reduce the frequency resolution of the estimated parameters[2]
Liu Jiancheng and others detailed analyzed the fractional Fourier domain SNR of LFM signals under Gaussian white noise background in the literature [5].The Researches mentioned above do not give a method to improve the detection and parameter estimation performance of fractional Fourier transform (FrFT) in the noise environment. It is presented a method of estimation and detection LFMCW signals parameters based on period FRFT (PFRFT) algorithm
Summary
Linear frequency-modulated continuous wave (LFMCW) signal is used in various fields, including radar, sonar and electronic monitoring. Frequency analysis method for the detection of non-stationary signals are commonly used,such as: Wigner-Ville distribution (WVD)、Short-time Fourier transform(STFT), fractional Fourier transform (FrFT) and so on[1]. Liu Jiancheng and others detailed analyzed the fractional Fourier domain SNR of LFM signals under Gaussian white noise background in the literature [5].The Researches mentioned above do not give a method to improve the detection and parameter estimation performance of FrFT in the noise environment. It is presented a method of estimation and detection LFMCW signals parameters based on PFRFT algorithm. When estimation and detection the parameters of a single period LFMCW signal, this algorithm and FRFT have the same advantages, but to estimate the parameters of the multi-periods LFMCW signals, this algorithm is better
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