A class of robust nonlinear filters for signal decomposition and filtering, utilizing the Haar basis

Author

Longbotham, Harold

Author_Institution

Nonlinear Signal Process. Lab., Texas Univ., San Antonio, TX, USA

Volume

4

fYear

1992

fDate

23-26 Mar 1992

Firstpage

557

Abstract

A class of robust nonlinear filters for signal decomposition and filtering based on the Haar basis is discussed. The nonlinear filters with window width 2N+1 are shown to be linear over the PICO(N+1) signals (piecewise constant signals) where the minimum width of a constant region is N+1. Next, passband filtering of PICO signals, edge enhancement, and an optimality criterion for filtering of PICO signals is discussed. An application of the filters to biological data (non-PICO) is then demonstrated

Keywords

biological techniques and instruments; filtering and prediction theory; signal processing; Haar basis; biological data; edge enhancement; optimality criterion; passband filtering; piecewise constant signals; robust nonlinear filters; signal decomposition; signal filtering; Band pass filters; Biomedical signal processing; Digital filters; Eigenvalues and eigenfunctions; Filtering; Linearity; Nonlinear filters; Robustness; Signal resolution; Space vector pulse width modulation;

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.1992.226387

Filename

226387