Journal
IEEE SIGNAL PROCESSING LETTERS
Volume 29, Issue -, Pages 1719-1723Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LSP.2022.3195118
Keywords
Chirp; Fourier transforms; Maximum likelihood estimation; Frequency estimation; Time-frequency analysis; Signal processing algorithms; Kernel; Fractional auto-correlation; fractional Fourier transform; multi-component LFM signal; parameter estimation
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This letter introduces a fast and accurate method for parameter estimation of multi-component linear frequency modulated (MC-LFM) signals, using the connection between FrAc and FrFT to find chirp rates and central frequencies. An efficient algorithm is proposed to accelerate the precise estimate of the MC-LFM signal parameters. Simulation results validate the performance of the approach.
This letter presents a fast and accurate method for parameter estimation of multi-component linear frequency modulated (MC-LFM) signals. We first show that the auto-terms of signal in fractional auto-correlation (FrAc) domain are concentrated along lines passing through the origin with slopes equal to chirp rates. The connection between the FrAc and fractional Fourier transform (FrFT) is exploited to find the chirp rates. We then easily obtain central frequencies from the same FrFT coefficients which are used for the estimation of chirp rates. We finally propose our efficient algorithm to accelerate the precise estimate of the MC-LFM signal parameters. Simulation results validate performance of the approach.
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