Efficient Modeling of Dominant Transform Components Representing Time-Varying Signals

Wasfy B. Mikhael, Andreas S. Spanias

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


An accurate representation of time-varying signals using mixed transforms has been reported in [1], The mixed transform representation uses partial sets of basis functions from the discrete Fourier transform (DFT) and the Walsh Hadamard Transform (WHT). The location, magnitude and phase of the transform components have to be specified for proper signal reconstruction. A least squares (LS) IIR algorithm, in the transformed domains, which fits each of the retained subsets of the complex transform components accurately, is presented in this letter. 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 voiced speech segment is given.

Original languageEnglish (US)
Pages (from-to)331-334
Number of pages4
JournalIEEE transactions on circuits and systems
Issue number2
StatePublished - Feb 1989
Externally publishedYes

ASJC Scopus subject areas

  • General Engineering


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