NONNEGATIVITY CONSTRAINED SPECTRAL FACTORIZATION FOR IMAGE RECONSTRUCTION FROM AUTOCORRELATION DATA.

Y. Q. Shi, N. K. Bose

Research output: Contribution to journalConference articlepeer-review

1 Scopus citations

Abstract

The authors consider the factorization of the 1-D and 2-D spectral density functions (z-transforms of real-valued autocorrelation sequences), S(z) and S(z//1,z//2) in the forms Sz equals F(z)F(z**-**1) and S(z//1, z//2) equals F(z//1, z//2) F(z//1**-**1, z//2**-**1), respectively where the coefficient of polynomials F(z) and F(z//1, z//2) are constrained to be nonnegative. The problem is solved only in special cases. In the general situation, the scopes for adapting and generalizing the iterative techniques available for the classical 1-D spectral factorization problem to tackle the nonnegativity constrained spectral factorization problem under study have been analyzed.

Original languageEnglish (US)
Pages (from-to)1766-1769
Number of pages4
JournalICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
StatePublished - Jan 1 1988

All Science Journal Classification (ASJC) codes

  • Software
  • Signal Processing
  • Electrical and Electronic Engineering

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