A family of wavelets which are dilatable by simple IIR filters [EEG analysis]

Author

Hanrahan, H.E.

Author_Institution

Dept. of Electr. Eng., Univ. of the Witwatersrand, Wits, South Africa

Volume

4

fYear

1992

fDate

23-26 Mar 1992

Firstpage

285

Abstract

The family of wavelets called neural wavelets has zero mean, spectral peak at a frequency ∝√n and 20 n dB/decade rolloff where n is the order of the wavelet. The effective duration shortens with increasing n for a given t ₀, where the parameter t₀ allows time scaling of the wavelets. A simple infinite impulse response (IIR) filter is developed which expands or contracts the wavelet and can be designed to change the order n. The filter is used to detect partially overlapping constituent wavelets of a composite waveform. Filter design and noise sensitivity are discussed

Keywords

digital filters; electroencephalography; filtering and prediction theory; medical signal processing; wavelet transforms; EEG analysis; IIR filter; design; dilation filter; infinite impulse response filter; neural evoked responses; neural wavelets; noise sensitivity; partially overlapping constituent wavelets; Africa; Electroencephalography; Electronic mail; Equations; Frequency; IIR filters; Tail; Wavelet analysis; Wavelet domain; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1992. ICASSP-92., 1992 IEEE International Conference on

Conference_Location

San Francisco, CA

ISSN

1520-6149

Print_ISBN

0-7803-0532-9

Type

conf

DOI

10.1109/ICASSP.1992.226430

Filename

226430