Fractional S transform - Part 1: Theory

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Fractional S transform - Part 1: Theory

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Abstract:

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'|(O_E5H-FL{5wc_0The S transform,which is a time-frequency representation known for its local spectral phase properties in signal processing,uniquely combines elements of wavelet transforms and the short-time Fourier transform (STFT).The fractional Fourier transform is a tool for non-stationary signal analysis.In this paper,we define the concept of the fractional S transform (FRST) of a signal,based on the idea of the fractional Fourier transform (FRFT) and S transform (ST),extend the S transform to the time-fractional frequency domain from the timefrequency domain to obtain the inverse transform,and study the FRST mathematical properties.The FRST,which has the advantages of FRFT and ST,can enhance the ST flexibility to process signals.Compared to the S transform,the FRST can effectively improve the signal timefrequency resolution capacity.Simulation results show that the proposed method is effective.

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Key Laboratory of Geomathematics of Sichuan Province, Chengdu University of Technology, Chengdu 610059, China水利论文}*sJv1Dp _

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Keywords:

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"?.r6X!gg y0fractional S transform水利论文 I'JV/@#Q0S)E

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fractional Fourier transform水利论文? H2T)P!l

ZWX:fPu0time-frequency analysis水利论文b5nFw8kT/k

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在线出版日期:

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2012年5月25日

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Fractional S transform - Part 1: Theory

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[期刊论文] 应用地球物理(英文版)

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