Av. Dandawate et Gb. Giannakis, STATISTICAL TESTS FOR PRESENCE OF CYCLOSTATIONARITY, IEEE transactions on signal processing, 42(9), 1994, pp. 2355-2369
Presence of kth-order cyclostationarity is defined in terms of nonvani
shing cyclic-cumulants or polyspectra. Relying upon the asymptotic nor
mality and consistency of kth-order cyclic statistics, asymptotically
optimal chi2 tests are developed to detect presence of cycles in the k
th-order cyclic cumulants or polyspectra, without assuming any specifi
c distribution on the data. Constant false alarm rate tests are derive
d in both time- and frequency-domain and yield consistent estimates of
possible cycles present in the kth-order cyclic statistics. Explicit
algorithms for k less-than-or-equal-to 4 are discussed. Existing appro
aches are rather empirical and deal only with k less-than-or-equal-to
2 case. Simulation results are presented to confirm the performance of
the given tests.