Title

Residual Error Formulation And Adaptive Minimization For Representing Nonstationary Signals Using Mixed Transforms

Title - Alternative

IEEE Trans. Circuits Syst. II-Analog Digit. Signal Process.

Keywords

Engineering, Electrical & Electronic

Abstract

A technique is proposed for signal representation using superimposed partial sets of different transforms which are, in general, nonorthogonal to each other. The method is developed to maximize the signal to Boise ratio SNR of the reconstructed signal for a given total number of transform coefficients. First, the residual error, which is the difference between the original signal and the reconstructed signal, is properly formulated. Then, two gradient techniques, in conjunction with an optimization strategy, are developed to minimize the residual error. Sample results using this approach for representing synthetic signals and speech signals employing mixed Fourier/Walsh and Fourier/Haar transforms are given to illustrate the efficiency and accuracy of the proposed method.

Publication Title

Ieee Transactions on Circuits and Systems Ii-Analog and Digital Signal Processing

Volume

39

Issue/Number

7

Publication Date

1-1-1992

Document Type

Letter

Language

English

First Page

489

Last Page

492

WOS Identifier

WOS:A1992JU03500011

ISSN

1057-7130

Share

COinS