Title

A Direct Approach For Representing Non-Stationary Signals Using Mixed Transforms

Abstract

Recently, a mixed transform technique was suggested for representing non-stationary signals efficiently by superimposing two subsets of transform components in the Fourier and Walsh domains. An iterative method was used to obtain the dominant components from the two domains, to reproduce the signal. This paper describes an exact formulation of the residual error after partially extracting the weighted transform components from each domain. In addition, a computationally efficient implementation is proposed that employs direct transformation from the Fourier to the Walsh domain. Also, a gradient algorithm is developed to minimize the error by adaptively adjusting the weights associated with the selected subsets of the transform components. Computer simulations are given to demonstrate the effectiveness of the technique.

Publication Date

1-1-1991

Publication Title

Midwest Symposium on Circuits and Systems

Number of Pages

27-30

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.1109/MWSCAS.1991.252120

Socpus ID

85067198595 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85067198595

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