Analysis of signals in Fractional Fourier Domain

Author

Singh, Ashutosh ; Bajaj, Nikhil

Author_Institution

Dept. of Elec. & Comm. Eng., Lovely Prof. Univ. (LPU), Phagwara, India

fYear

2011

fDate

22-24 April 2011

Firstpage

259

Lastpage

262

Abstract

Fractional Fourier Transform (FRFT) is the generalization of the classic Fourier Transform (FT). When we dealing with time-varying signals, FRFT is an important tool to analysis these signals. This paper contain the results for variation of basic signals like Rectangular pulse, sine wave and Gaussian signal in the Fractional Fourier Domain (FRFD). The correlation results for FRFD signal to the time domain(TD) and correlation results for FRFT at α-domain to the FRFT at (α-1)-domain also shown and discussed. The graphically proof of scaling property of FRFT is also given.

Keywords

Fourier transforms; Gaussian processes; signal processing; time-domain analysis; α-domain; (α-1)-domain; FRFD signal; FRFT; Gaussian signal; fractional Fourier transform; rectangular pulse; scaling property; sine wave; time domain; time-varying signal analysis; Correlation; Filtering; Fourier transforms; Signal processing; Time domain analysis; Time frequency analysis; α-domain; α-domain´s correlation; Analysis FRFT; FRFD; FRFT; FRFT scaling property; Signal Processing;

fLanguage

English

Publisher

ieee

Conference_Titel

Emerging Trends in Networks and Computer Communications (ETNCC), 2011 International Conference on

Conference_Location

Udaipur

Print_ISBN

978-1-4577-0239-6

Type

conf

DOI

10.1109/ETNCC.2011.6255899

Filename

6255899