Abstract
The radar matched filter is implemented in fractional Fourier domain (FrFD) and the required processing steps to perform the radar matched filter in FrFD are demonstrated. The complexity of the FrFD matched filter over the normal frequency transform matched filter is also investigated. The performance enhancements for using the matched filter in the FrFD are presented and the enhancement in the signal to noise ratio (SNR) output at different target SNRs are also described.
Highlights
Radar matched filters (MF) in time domain (TD) are achieved by correlating the radarreceived signal with a time-reversed radar-transmitted signal
It shows that the MF in frequency domain (FD) implemented by the FFT of the received radar signal multiplied by stored FFT replica of the received signal followed by inverse fast Fourier transform (IFFT) has a complexity approximated by Nlog2N
Mathematical model based on principle of stationary phase (PSP) for MF in both the FD and the fractional Fourier domain (FrFD) were investigated in this paper
Summary
Radar matched filters (MF) in time domain (TD) are achieved by correlating the radarreceived signal with a time-reversed radar-transmitted signal. In the special case where specific parameters can be estimated a significant enhancement results when using matched filter in the optimum FrFT domain compared to the conventional FT approach. In [2], a generalized fractional matched filtering (GFMF) for estimating higher order chirp parameters with known time delay is presented. This paper investigates three methods, used to estimate the time delay Tst in order, to design the MF in the FrFD. A simulation result is presented in section 6 for FrFT and FT matched filter enhancement at different SNRs. Section 7 concludes the paper
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