Blind frequency offset and delay estimation of linearly modulated signals using second order cyclic statistics

A blind (non-data aided), open loop, joint frequency offset and delay estimation algorithm for a linearly modulated signal in additive stationary noise is developed by exploiting the cyclostationarity of the signal. By considering the sample cyclic autocorrelation function of the received signal and the probability distribution of the estimation error, a general linear model representation of the problem is obtained from which the parameters are estimated using a Bayesian framework. The algorithm is then extended to a multiple signals of interest scenario. The algorithm is simulated for both single and multiple BPSK signals