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Abstract

The fractional Fourier transform (FRFT) is a linear transformation generalizing the Fourier transform. In this paper an algorithm has been purposed to perform the filtering of time-varying signals using Fractional Fourier Transform (FRFT). Mean square error (MSE) and cross-correlation are the parameters that used to match the recovered signals. And the concept of adaptively choose the cut-of-frequencies for the band pass filter in every Fractional Fourier Domain (FRFD) has been introduced, depending upon the desired frequencies. The proposed filtering algorithm able to reduces the MSE by a factor of 2 for a single having one frequency component, and reduces the MSE by a factor of 21 for a signal having five frequency components.

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