Fixed Windows in Fractional Fourier Domain | Zendy

Rahul Pachauri | Zendy; Rajiv Saxena | Zendy; Sanjeev Sharma | Zendy

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Fixed Windows in Fractional Fourier Domain

Author(s) -

Rahul Pachauri,

Rajiv Saxena,

Sanjeev Sharma

Publication year - 2014

Publication title -

international journal of image graphics and signal processing

Language(s) - English

Resource type - Journals

eISSN - 2074-9082

pISSN - 2074-9074

DOI - 10.5815/ijigsp.2014.02.01

Subject(s) - fractional fourier transform , fourier transform , window function , window (computing) , domain (mathematical analysis) , algorithm , computer science , plane (geometry) , extension (predicate logic) , mathematics , fourier analysis , mathematical analysis , filter (signal processing) , geometry , computer vision , programming language , operating system

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.

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