Multicomponent Chirp Demodulation using Discrete Fractional Fourier Analysis

The multicomponent chirp model finds numerous applications in biomedical signal processing, radar problems, and in the modeling of biological waveforms such as bat and whale echolocation signals. The problem of demodulating these signals is straight-forward when the components are distinct, however, when the components overlap spectrally or when one of the components is stronger than the others existing multicomponent demodulation algorithms run into singularity problems and are unable to effect signal separation and demodulation. In this paper, we present a method of multicomponent chirp demodulation using the recently introduced multiangle-centered discrete fractional Fourier transform. We specifically demonstrate that the proposed algorithm is effective in the aforementioned difficult situations where other algorithms fail