Frequency estimation and synchronization of frequency hopping signals based on reversible jump MCMC

A reversible jump Markov chain Monte Carlo (RJMCMC)-based algorithm for frequency estimation and synchronization of frequency hopping signals is proposed in this paper. By using a two-hop signal model that incorporates the unknown hop transition time, an original Bayesian model of the received frequency hopping signals is formulated. We develop an efficient stochastic algorithm based on RJMCMC methods to perform the Bayesian computation. Some simulated examples are presented to illustrate the algorithm's performance.