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Implementation of Fractional Fourier Transform in Digital Filter Design

Pendyala V. Muralidhar 1, S. K. Nayak 2, and Trinath Sahu 2
1. Aditya Institute of Technologyand Management, Tekkali, India
2. Berhampur University, Berhampur, India
Abstract—In literature, so many functions are available to process the signals. The quality of the window filters are mainly based on the following parameters like bandwidth (BW), Side Lobe Fall of Ratio (SLFOR) and Side Lobe Attenuation (SLA). Each window function is different and is not suitable for all applications. Every window has its own merits and demerits. Most of the time, the selections of a window function is made on trial and error basis. That is the reason, closed form fractional Fourier (FrFT) on spectral analysis of different window function [52] has been proposed. While going through the study, it is shown how windows functions break the traditional trade of between narrow band width and higher side lobe rejection. Also for the first time, we are presenting the FIR and IIR filters with four variables and also implement a differentiator using window based analysisthus,it’sa new beginning in the analysis of analog to discrete conversion. Here we presents the narrow band width and low computational cost of closed form FrFT for different window functions and also pointed out the demerit of this FrFT.
Index Terms—FIR filters, IIRfilters, Window functions, differentiators

Cite: Pendyala V. Muralidhar, S. K. Nayak, and Trinath Sahu, "Implementation of Fractional Fourier Transform in Digital Filter Design," Journal of Communications vol. 15, no. 3, pp. 289-302, March 2020. Doi: 10.12720/jcm.15.3.289-302
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