Signal reconstruction from multiple correlations: Frequency- and time-domain approaches: Reply to comment

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Abstract

The time-domain reconstruction method of Giannakis [J. Opt. Soc. Am. A 6,682 (1989), Subsec. 3.B] is correct and was derived under the assumption that a matrix containing certain triple-correlation lags has full rank. Although the counterexample of Tugnait [J. Opt. Soc. Am. A 8,452 (1991)] violates this assumption, I show that a full-rank triple-correlation matrix exists. Recent important results that establish a unique reconstruction of two-sided polezero signals and their orders are also presented.

Original languageEnglish (US)
Pages (from-to)454-455
Number of pages2
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Volume8
Issue number2
DOIs
StatePublished - Feb 1991

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