Efficient modeling of dominant transform components representing time-varying signals.

Wasfy B. Mikhael, Andreas Spanias

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

The mixed transform representation of time-varying signals uses partial sets of basis functions from the discrete Fourier transform (DFT) and the Walsh-Hadamard transform. The location, magnitude, and phase of the transform components have to be specified for proper signal reconstruction. A least-squares IIR (infinite impulse response) algorithm, in the transformed domains, which fits each of the retained subsets of the complex transform components accurately, is presented. The IIR function, while characterized by real coefficients about twice the number of the retained complex transform components, carries enough location, magnitude, and phase information for accurate signal reconstruction. To illustrate the technique's accuracy and efficiency, its application to model the DFT part of a voice speech segment is given.

Original languageEnglish (US)
Pages (from-to)331-334
Number of pages4
JournalIEEE Transactions on Circuits and Systems
Volume36
Issue number2
DOIs
StatePublished - Feb 1989
Externally publishedYes

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Signal reconstruction
Impulse response
Discrete Fourier transforms
Walsh transforms
Hadamard transforms

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Efficient modeling of dominant transform components representing time-varying signals. / Mikhael, Wasfy B.; Spanias, Andreas.

In: IEEE Transactions on Circuits and Systems, Vol. 36, No. 2, 02.1989, p. 331-334.

Research output: Contribution to journalArticle

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