Matched Filtering in Fractional Fourier Domain

Matched filtering is an important method in radar signal processing to enhance the radar system performance. In this paper, the concept of the matched filtering is generalized to the fractional Fourier case. The response of the matched filter in fractional Fourier domain to chirp signals is analyzed, and the sidelobe suppression method for matched filtering in the fractional Fourier domain is considered. The theory introduced in this paper is validated by simulations.