A Gallery of Cyclic Correlations

There are some situations in which the spectral correlation function is not the preferred measure of (second-order) cyclostationarity. In these situations, the cyclic autocorrelation (non-conjugate and conjugate versions) may be much simpler to estimate and work with in terms of detector, classifier, and estimator structures. So in this post, I’m going to provide plots of the cyclic autocorrelation for each of the signals in the spectral correlation gallery post. The exceptions are those signals I called feature-rich in the spectral correlation gallery post, such as LTE and radar. Recall that such signals possess a large number of cycle frequencies, and plotting their three-dimensional spectral correlation surface is not helpful as it is difficult to interpret with the human eye. So for the cycle-frequency patterns of feature-rich signals, we’ll rely on the stem-style (cyclic-domain profile) plots in the gallery post.

The signals that are used to generate the plots are exactly the same as in the gallery post; see that post for details. On to the cyclic autocorrelation gallery:

ww_caf_16qamww_caf_16qamrectww_caf_2fskww_caf_4fskww_caf_8pskww_caf_8pskrectww_caf_amdsblcww_caf_amdsbscww_caf_bpskww_caf_bpsk_manww_caf_bpsk_man_blww_caf_bpskrectww_caf_cpmww_caf_dqpskww_caf_dqpskrectww_caf_dsssbpskww_caf_dsssqpskww_caf_dssssqpskww_caf_gfskww_caf_gmskww_caf_mskww_caf_ookww_caf_ookrectww_caf_qpskww_caf_qpsk_manww_caf_qpsk_man_blww_caf_qpskrectww_caf_sqpskww_caf_sqpskrectww_caf_toneHere are the cyclic autocorrelation functions for four captured signals: WCDMA, CDMA, ATSC-DTV, and CDMA-EVDO:

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