Generalized Affine Spectral Correlation Analysis with Application to Multifractal Signal Processing

Author

Gang, Xiong ; Huichang, Zhao ; Xiaoniu, Yang

Author_Institution

Res. Inst., CETC, Jiaxing

fYear

2006

fDate

22-24 Sept. 2006

Firstpage

1

Lastpage

4

Abstract

In this paper, we introduce a new set of tools for spectral correlation analysis: the generalized affine spectral correlation analysis. Based on the affine Wigner distributions of J. and P. Bertrand and the pseudo affine Wigner distribution of Paulo Goncalves, generalized spectral correlation analysis was proposed. To formalize their place within the echelon of the affine class of time-scale distributions (TSD´s), we introduce and study an alternative set of spectral correlation generators and kernel for this class. With application to the multifractal signal processing, it´s proved that the generalized affine spectral correlation analysis is a useful tool for signal processing

Keywords

Wigner distribution; signal processing; spectral analysis; generalized affine spectral correlation analysis; multifractal signal processing; pseudo affine Wigner distribution; spectral correlation generators; time-scale distributions; Continuous wavelet transforms; Fractals; Kernel; Signal analysis; Signal processing; Smoothing methods; Spectral analysis; Spectrogram; Time frequency analysis; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Wireless Communications, Networking and Mobile Computing, 2006. WiCOM 2006.International Conference on

Conference_Location

Wuhan

Print_ISBN

1-4244-0517-3

Type

conf

DOI

10.1109/WiCOM.2006.186

Filename

4149363