Title

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

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 noise 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. © 1992 IEEE

Publication Date

1-1-1992

Publication Title

IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing

Volume

39

Issue

7

Number of Pages

489-492

Document Type

Article

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1109/82.160176

Socpus ID

0026895385 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0026895385

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