Title :
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
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;
Conference_Titel :
Emerging Trends in Networks and Computer Communications (ETNCC), 2011 International Conference on
Conference_Location :
Udaipur
Print_ISBN :
978-1-4577-0239-6
DOI :
10.1109/ETNCC.2011.6255899