DECONVOLUTION BY THE CONJUGATE GRADIENT METHOD.

Tapan Kumar Sarkar, Fung I. Tseng, Soheil A. Dianat, Bruce Z. Hollmann

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

Since it is difficult in practice to generate and propagate an impulse, often a system is excited by a narrow time-domain pulse. The output is recorded, and then a numerical deconvolution is used to extract the impulse response of the object. Classically, the fast Fourier transform technique has been applied with much success to this deconvolution problem. However, when the signal-to-noise ratio becomes small, one sometimes encounters instability with the FFT approach. Here, the method of conjugate gradient is applied to the deconvolution problem entirely in the time domain. The method converges for any initial guess in a finite number of steps. Also, the time samples need not be uniform as with the FFT. Computed impulse responses utilizing this technique are presented for measured incident and scattered fields from a sphere and a cylinder.

Original languageEnglish (US)
Title of host publicationICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
PublisherIEEE Computer Society
Pages445-448
Number of pages4
StatePublished - 1985
Externally publishedYes

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering
  • Acoustics and Ultrasonics

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  • Cite this

    Sarkar, T. K., Tseng, F. I., Dianat, S. A., & Hollmann, B. Z. (1985). DECONVOLUTION BY THE CONJUGATE GRADIENT METHOD. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings (pp. 445-448). IEEE Computer Society.