Fractional S transform - Part 1: Theory

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R/u_&`;h%[f4M0Fractional S transform - Part 1: Theory

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Abstract:

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The 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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nU.N^7|-d\+N0Key Laboratory of Geomathematics of Sichuan Province, Chengdu University of Technology, Chengdu 610059, China

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期 刊:

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0pkk;F-]eo0应用地球物理(英文版)水利论文5g X{[E,H

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Journal:

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;wKb#S v c(oU0Applied Geophysics水利论文(^9Q"ieJV

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cgaVUQs"y02012, 09(1)水利论文+{+K)R2j$HG+Z jL

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2Hc@;T1BK`'`%i5m7Q0Keywords:水利论文$x/d;Bw&[

(\ G b o1^%zi)p0fractional S transform

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zj\-t1gd0fractional Fourier transform水利论文r7cxxp m

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time-frequency analysis

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在线出版日期:

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2012年5月25日水利论文6Wd"C"pzxB5^/h6bJ

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基金项目:水利论文K,y9zZ?5W#u!Ae

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Fractional S transform - Part 1: Theory水利论文 I1zN?.kj:C&{0]G

VZ \+TM A0[期刊论文] 应用地球物理(英文版)

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--2012, 09(1)

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,gN2b7kE,X z.a0The 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 t...

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