Fractional cepstrum and applying to blind chirp signal processing

The fractional Fourier transform can be considered as the generalization of Fourier transform. After the real cepstrum theory is reviewed, the fractional cepstrum is presented based on fractional Fourier transform. At the same time, how to use the fractional cepstrum is discussed in blind chirp signal processing. A numerical result confirms that the proposed fractional cepstrum does work even at low signal-to-noise ratios.