TY - JOUR
T1 - Signal reconstruction from multiple correlations
T2 - Frequency- and time-domain approaches: Reply to comment
AU - Giannakis, Georgios B.
PY - 1991/2
Y1 - 1991/2
N2 - 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.
AB - 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.
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U2 - 10.1364/JOSAA.8.000454
DO - 10.1364/JOSAA.8.000454
M3 - Article
AN - SCOPUS:84975633486
SN - 1084-7529
VL - 8
SP - 454
EP - 455
JO - Journal of the Optical Society of America A: Optics and Image Science, and Vision
JF - Journal of the Optical Society of America A: Optics and Image Science, and Vision
IS - 2
ER -