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


Vol. 30,  No. 11, pp. 1060-1067, Nov.  2005


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  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.

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  Cite this article

[IEEE Style]

L. Durak, H. G. Kang, S. Yoon, J. Lee, H. Kwon, S. W. Choi, I. Song, "Fractional Fourier Domains and the Shift-Invariance Characteristics of Linear Time-Frequency Distributions," The Journal of Korean Institute of Communications and Information Sciences, vol. 30, no. 11, pp. 1060-1067, 2005. DOI: .

[ACM Style]

Lutfiye Durak, Hyun Gu Kang, Seokho Yoon, Jumi Lee, Hyoungmoon Kwon, Sang Won Choi, and Iickho Song. 2005. Fractional Fourier Domains and the Shift-Invariance Characteristics of Linear Time-Frequency Distributions. The Journal of Korean Institute of Communications and Information Sciences, 30, 11, (2005), 1060-1067. DOI: .

[KICS Style]

Lutfiye Durak, Hyun Gu Kang, Seokho Yoon, Jumi Lee, Hyoungmoon Kwon, Sang Won Choi, Iickho Song, "Fractional Fourier Domains and the Shift-Invariance Characteristics of Linear Time-Frequency Distributions," The Journal of Korean Institute of Communications and Information Sciences, vol. 30, no. 11, pp. 1060-1067, 11. 2005.

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pISSN : 1226 - 4717
eISSN : 2287 - 3880