Second-Order Based Cyclic Frequency Estimates: The Case of Digital Communication Signals

Both the standard estimate of the second-order cyclic frequency of a digital communication signal and its improved versions (based on a weighted criterion or a denoising of the cyclic periodogram) do not take into account a key property of the signal, indeed, the support of the cyclospectrum at the true cyclic frequency is a narrow interval centered around half this cyclic frequency. This fact is taken into account in this contribution. A theoretical fact explains the improvement over the standard method. Simulations confirm the expectation