A modified fractional Fourier series for the analysis of finite chirp signals & its application

In this paper, we propose to extend the recently presented fractional Fourier series (FrFS) concept to include a wider class of signals. Specifically, our modified FrFS can be applied to chirp signals with arbitrary central frequency and is not limited to those with central frequency equal to a multiple of a particular value. Examples, including Monte-Carlo simulations, are presented to show the improvement in performance of the proposed method compared to the existing one. In addition, an application of the proposed method in combating the Doppler effect in a mobile communication system is also presented.