publication . Preprint . 2018

Reduced Order Fractional Fourier Transform A New Variant to Fractional Signal Processing Definition and Properties

Kumar, Sanjay;
Open Access English
  • Published: 17 Apr 2018
Abstract
In this paper, a new variant to fractional signal processing is proposed known as the Reduced Order Fractional Fourier Transform. Various properties satisfied by its transformation kernel is derived. The properties associated with the proposed Reduced Order Fractional Fourier Transform like shift, modulation, time-frequency shift property are also derived and it is shown mathematically that when the rotation angle of Reduced Order Fractional Fourier Transform approaches 90 degrees, the proposed Reduced Order Fractional Fourier Transform reduces to the conventional Fourier transform. Also, the Reduced Order Fractional Fourier Transform of various kinds of signals...
Subjects
free text keywords: Electrical Engineering and Systems Science - Signal Processing
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