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International Journal of Image, Graphics and Signal Processing(IJIGSP)

ISSN: 2074-9074 (Print), ISSN: 2074-9082 (Online)

Published By: MECS Publisher

IJIGSP Vol.6, No.2, Jan. 2014

Fixed Windows in Fractional Fourier Domain

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Author(s)

Rahul Pachauri,Rajiv Saxena,Sanjeev N. Sharma

Index Terms

Fractional Fourier Transform;Null Bandwidth;Half Main Lobe Width;Maximum Side Lobe Level

Abstract

In this study, some mathematical relations have been derived for the useful parameters of fixed window functions in fractional Fourier transform (FRFT) domain. These reported expressions are also verified with the simulation studies. The FRFT provides an important extension to conventional Fourier transform with an additional degree of freedom by which these parameters of window functions can be controlled while inherent time domain behavior of the windows remains intact. The behavior of fixed windows on time-frequency plane has been varied by varying the FRFT order. The obtained variability in the window functions has been applied in the designing of FIR filters.

Cite This Paper

Rahul Pachauri,Rajiv Saxena,Sanjeev N. Sharma,"Fixed Windows in Fractional Fourier Domain", IJIGSP, vol.6, no.2, pp.1-13, 2014.DOI: 10.5815/ijigsp.2014.02.01

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