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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 pole-zero signals and their orders are also presented.

© 1991 Optical Society of America

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Signal reconstruction from multiple correlations: frequency- and time-domain approaches

Georgios B. Giannakis
J. Opt. Soc. Am. A 6(5) 682-697 (1989)

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