Non-iterative blind deconvolution of colored or deterministic signals using higher order cepstra and group delay

D. H. Brooks, A. P. Petropulu

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

1 Scopus citations

Abstract

The authors consider an unknown deterministic or nonGaussian nonwhite stochastic signal transmitted through two different unknown LTI mixed phase FIR systems with only noisy observations of the system outputs. The goal is to identify the systems and/or deconvolve the input, to within a magnitude factor and a time delay. The systems must have no zeros on the unit circle and satisfy other mild conditions on the mutual location of their zeros. Previous approaches have been iterative or assumed the input to be stochastic and white or well-separated from the channel impulse response in some sense. A new non-iterative solution is based on the observation that cepstra (calculated via higher order spectra) corresponding to two 'difference' systems which have zeros due to the minimum (or reflected maximum) phase part of the first system and poles due to the second system can be obtained. Via the group delay separated the 'difference' cepstra are into pole and zero parts and thereby the systems and/or signal are reconstructed.

Original languageAmerican English
Title of host publication1992 IEEE 6th SP Workshop on Statistical Signal and Array Processing, SSAP 1992 - Conference Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages132-135
Number of pages4
ISBN (Electronic)0780305086, 9780780305083
DOIs
StatePublished - 1992
Externally publishedYes
Event6th IEEE SP Workshop on Statistical Signal and Array Processing, SSAP 1992 - Victoria, Canada
Duration: Oct 7 1992Oct 9 1992

Publication series

Name1992 IEEE 6th SP Workshop on Statistical Signal and Array Processing, SSAP 1992 - Conference Proceedings

Conference

Conference6th IEEE SP Workshop on Statistical Signal and Array Processing, SSAP 1992
Country/TerritoryCanada
CityVictoria
Period10/7/9210/9/92

ASJC Scopus subject areas

  • Signal Processing
  • Statistics and Probability

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