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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 8, Iss. 2 — Feb. 1, 1991
  • pp: 454–455

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

Georgios B. Giannakis  »View Author Affiliations


JOSA A, Vol. 8, Issue 2, pp. 454-455 (1991)
http://dx.doi.org/10.1364/JOSAA.8.000454


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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.

© 1991 Optical Society of America

Citation
Georgios B. Giannakis, "Signal reconstruction from multiple correlations: frequency- and time-domain approaches: reply to comment," J. Opt. Soc. Am. A 8, 454-455 (1991)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-8-2-454

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