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Cyclostationary signal-processing techniques implemented by means of acousto-optics are considered. Cyclic-processing methods are reviewed and motivated, such as the cyclic correlation and the cyclic spectrum. It is shown that the cyclic correlation can be computed at cycle frequencies of interest by use of one-dimensional time-integrating correlators in additive or multiplicative configurations. Detection of cycle frequencies is briefly considered, and a one-dimensional acousto-optic spectrum-analysis approach is described that is effective for amplitude-modulated signals. The problem of computing the two-dimensional cyclic correlation for all cycle frequencies and lags is then considered. This is accomplished by means of an acousto-optic triple-product processor configured in a manner similar to that used for ambiguity-function generation. The cyclic spectrum can be obtained in a postprocessing step by Fourier transformation of the cyclic correlation in one dimension. Higher-order extensions of the cyclic correlation are also discussed, and it is shown how a two-dimensional slice of the three-dimensional cyclic triple correlation can be computed by use of an acousto-optic four-product processor.
© 1995 Optical Society of America
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