Carrier Synchronization Based on Renyi's Entropy

Maciej Pedzisz, Ali Mansour
Laboratoire ''Extraction et Exploitation de l'Information en Environnements Incertains'' (E3I2)
 Ecole Nationale Sup\'e9rieure des Ingénieurs des Etudes et Techniques d'Armement (ENSIETA)
2 rue Francois Very, 29806 Brest ceded 9, France

Abstract - 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 gene'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 contend nor its timing parameters.