A design of the scale parameter of wavelet transform for the estimation of transition time in PWL systems

Author

Kashiwao, Tomoaki ; Ikeda, Kenji ; Shimomura, Takao

Author_Institution

Dept. of Electron. & Control Eng., Niihama Nat. Coll. of Technol., Niihama, Japan

fYear

2011

fDate

13-18 Sept. 2011

Firstpage

973

Lastpage

978

Abstract

This paper proposes a method to determine an appropriate scale parameter of wavelet transform for the estimation of transition time of the PieceWise Linear (PWL) systems by using wavelet analysis. Precision of the estimation of transition time depends on the scale parameter of wavelet transform under noisy environment. Effect of the noise on the estimation of transition time is shown under the assumption of Gaussian random noise in a numerical example. Appropriate range of the scale parameter of wavelet transform is determined by using quantified the effect of the noise and effectiveness of the method is illustrated by numerical experiments.

Keywords

Gaussian noise; estimation theory; piecewise linear techniques; wavelet transforms; Gaussian random noise; PWL systems; piecewise linear systems; scale parameter design; transition time estimation; wavelet analysis; wavelet transform; Estimation; Noise; Taylor series; Time frequency analysis; Wavelet analysis; Wavelet transforms; piecewise linear systems; scale parameter; transition time; wavelet transform;

fLanguage

English

Publisher

ieee

Conference_Titel

SICE Annual Conference (SICE), 2011 Proceedings of

Conference_Location

Tokyo

ISSN

pending

Print_ISBN

978-1-4577-0714-8

Type

conf

Filename

6060650