Cyclostationary signal-processing techniques implemented by means of a
cousto-optics are considered. Cyclic-processing methods are reviewed a
nd motivated, such as the cyclic correlation and the cyclic spectrum.
It is shown that the cyclic correlation can be computed at cycle frequ
encies of interest by use of one-dimensional time-integrating correlat
ors in additive or multiplicative configurations. Detection of cycle f
requencies is briefly considered, and a one-dimensional acousto-optic
spectrum-analysis approach is described that is effective for amplitud
e-modulated signals. The problem of computing the two-dimensional cycl
ic correlation for all cycle frequencies and lags is then considered.
This is accomplished by means of an acousto-optic triple-product proce
ssor configured in a manner similar to that used for ambiguity-functio
n generation. The cyclic spectrum can be obtained in a postprocessing
step by Fourier transformation of the cyclic correlation in one dimens
ion. Higher-order extensions of the cyclic correlation are also discus
sed, and it is shown how a two-dimensional slice of the three-dimensio
nal cyclic triple correlation can be computed by use of an acousto-opt
ic four-product processor.