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) and (43), we have the following corrected version of (A128) (normalized bias of the frequency-smoothed (conjugate) cyclic periodogram with estimated (conjugate) cycle frequency)