In this section, the problem of uniformly sampling GACS processes is addressed. Aliasing formulas for second-order cyclic cross-moments are derived. It is shown that uniformly sampling a continuous-time GACS process leads to a discrete-time ACS process. Moreover, it is shown that continuous-time GACS processes do not have a discrete-time counterpart, that is, discrete-time GACS processes do not exist.
be the discrete-time processes obtained by uniformly sampling with period Ts = 1/fs the continuous-time (jointly) GACS processes x(t) and y(t).
Definition 2.5.1 The cyclic cross-correlation function of the discrete-time sequences yd(n) and xd(n) at cycle frequency is defined as
The magnitude and phase of are the amplitude and phase of the finite-strength additive complex sinewave component at frequency contained in the discrete-time cross-correlation ...