4.11 Discrete-Time Estimators of the Spectral Cross-Correlation Density
Let
(4.298)
be the discrete-time sequences obtained by uniformly sampling with period Ts = 1/fs the continuous-time (jointly) SC processes x(t) and y(t).
The discrete-time frequency-smoothed cross-periodogram along the support curve is defined as
(4.299)
where denotes periodic convolution (with period 1) with respect to ν1, YN(n, ν1) and XN(n, ν2) are discrete-time STFTs defined according to
(4.300)
and
(4.301)
is a frequency-smoothing window with summable in [− 1/2, 1/2] and such that
(4.302)
In the absence of aliasing, ...
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