Correction to "Cyclic Statistic Estimators With Uncertain Cycle Frequencies" [Jan 17 649-675]

In the above article [1] , expression (A128), in the proof of Theorem 17 on page 672, has a missed term. Here, the missed term is considered and its convergence to zero is proved. The (conjugate) cyclic correlogram R_{x }^{(T)}(\alpha,\tau) is nonzero only for \tau \in [-T,T] . Thus, from (42b) a...

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Veröffentlicht in:IEEE transactions on information theory 2021-07, Vol.67 (7), p.4936-4936
1. Verfasser: Napolitano, Antonio
Format: Artikel
Sprache:eng
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Zusammenfassung:In the above article [1] , expression (A128), in the proof of Theorem 17 on page 672, has a missed term. Here, the missed term is considered and its convergence to zero is proved. The (conjugate) cyclic correlogram R_{x }^{(T)}(\alpha,\tau) is nonzero only for \tau \in [-T,T] . Thus, from (42b) and (43), we have the following corrected version of (A128) (normalized bias of the frequency-smoothed (conjugate) cyclic periodogram with estimated (conjugate) cycle frequency)
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2021.3052817