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Fractional Fourier Domains and the Shift-Invariance Characteristics of Linear Time-Frequency Distributions  

Durak Lutfiye (일디즈 대학교)
Kang Hyun Gu (한국과학기술원 전자전산학과)
Yoon Seokho (성균관대학교 정보통신공학부)
Lee Jumi (한국과학기술원 전자전산학과)
Kwon Hyoungmoon (한국과학기술원 전자전산학과)
Choi Sang Won (한국과학기술원 전자전산학과)
Song Iickho (한국과학기술원 전자전산학과)
Publication Information
The Journal of Korean Institute of Communications and Information Sciences / v.30, no.11C, 2005 , pp. 1060-1067 More about this Journal
Abstract
In this paper, we generalize the shift-invariance properties of linear time-frequency distributions to the fractional Fourier domains that interpolate between the time and frequency domains. Magnitude-wise shift invariance in arbitrary fractional Fourier domains distinguishes the short-time Fourier transform (STFT) among all linear time-frequency distributions and simplifies the interpretation of the resultant distribution. We prove that the STFT is the only linear distribution that satisfies the magnitude-wise shift-invariance property in the fractional Fourier domains.
Keywords
short time Fourier transform; shift-invariance; linear distribution; time-frequency; distribution; fractional Fourier transform;
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