On cyclic spectrum estimation with estimated cycle frequency

摘要

The problem of cyclic spectrum estimation for almost-cyclostationary processes with unknown cycle frequencies is addressed. This problem arises in spectrum sensing and source location algorithms in the presence of relative motion between transmitter and receiver. Sufficient conditions on the process and the cycle frequency estimator are derived such that frequency-smoothed cyclic periodograms with estimated cycle frequencies are mean-square consistent and asymptotically jointly complex normal. Under the same conditions, the asymptotic complex normal law is shown to coincide with the normal law of the case of known cycle frequencies. Monte Carlo simulations corroborate the effectiveness of the theoretical results.