Carrier Synchronization Based on Renyi's Entropy

We consider the problem of carrier frequency recovery for linearly, digitally modulated signals. Presented algorithm can be applied before modulation classification and/or demodulation of the M-ary PSK and M-ary QAM signals. It is based on the properties of the Renyi's entropy of the instantaneous phase probability density function, and uses the fact that it reaches minimum when the receiver is fine-tuned to unknown carrier frequency. This estimator is applicable to algorithms requiring high accuracy without a priori knowledge concerning modulation scheme, signal contents nor its timing parameters