Analog computation of wavelet transform coefficients in real-time

Author

Moreira-Tamayo, Oscar ; De Gyvez, José Pineda

Author_Institution

Dept. of Electr. Eng., Texas A&M Univ., College Station, TX, USA

Volume

44

Issue

1

fYear

1997

fDate

1/1/1997 12:00:00 AM

Firstpage

67

Lastpage

70

Abstract

The authors present a time-domain approach for the implementation and continuous generation of wavelet transform coefficients for spectral analysis applications. The wavelet generation relies on amplitude modulation techniques. This approach offers two extra degrees of freedom through the appropriate use of the modulation index and the selected envelope signal. The added flexibility along with choice of frequencies allows one to generate different time-frequency windows with equal resolution for all frequencies. A convolution (correlator) circuit that computes the wavelet transform and delivers the coefficient corresponding to each wavelet was designed to substantiate theoretical findings. Experimental results of a hardware prototype are presented

Keywords

amplitude modulation; analogue processing circuits; convolution; correlators; mathematics computing; real-time systems; signal processing; spectral analysis; time-domain analysis; wavelet transforms; amplitude modulation techniques; analog computation; continuous generation; convolution circuit; correlator circuit; envelope signal; hardware prototype; modulation index; real-time computation; spectral analysis applications; time-domain approach; time-frequency windows; wavelet transform coefficients; Amplitude modulation; Analog computers; Continuous wavelet transforms; Convolution; Signal resolution; Spectral analysis; Time domain analysis; Time frequency analysis; Wavelet analysis; Wavelet transforms;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.558443

Filename

558443