DocumentCode :
1143958
Title :
Short-Time Fractional Fourier Transform and Its Applications
Author :
Tao, Ran ; Li, Yan-Lei ; Wang, Yue
Author_Institution :
Dept. of Electron. Eng., Beijing Inst. of Technol., Beijing, China
Volume :
58
Issue :
5
fYear :
2010
fDate :
5/1/2010 12:00:00 AM
Firstpage :
2568
Lastpage :
2580
Abstract :
The fractional Fourier transform (FRFT) is a potent tool to analyze the chirp signal. However, it fails in locating the fractional Fourier domain (FRFD)-frequency contents which is required in some applications. The short-time fractional Fourier transform (STFRFT) is proposed to solve this problem. It displays the time and FRFD-frequency information jointly in the short-time fractional Fourier domain (STFRFD). Two aspects of its performance are considered: the 2-D resolution and the STFRFD support. The time-FRFD-bandwidth product (TFBP) is defined to measure the resolvable area and the STFRFD support. The optimal STFRFT is obtained with the criteria that maximize the 2-D resolution and minimize the STFRFD support. Its inverse transform, properties and computational complexity are presented. Two applications are discussed: the estimations of the time-of-arrival (TOA) and pulsewidth (PW) of chirp signals, and the STFRFD filtering. Simulations verify the validity of the proposed algorithms.
Keywords :
Fourier transforms; computational complexity; signal resolution; time-of-arrival estimation; 2D resolution; FRFD-frequency contents; STFRFD; STFRFD filtering; STFRFT; TFBP; chirp signal analysis; computational complexity; inverse transform; pulsewidth estimation; short-time fractional Fourier domain; short-time fractional Fourier transform; time-FRFD-bandwidth product; time-of-arrival estimation; Fractional Fourier transform (FRFT); optimal window; short-time fractional Fourier transform (STFRFT); time-FRFD-bandwidth product (TFBP);
fLanguage :
English
Journal_Title :
Signal Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
1053-587X
Type :
jour
DOI :
10.1109/TSP.2009.2028095
Filename :
5170060
Link To Document :
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