Maximum Likelihood Estimate of TDOA for Cyclostationary Signals

Abstract

Many communication signals exhibit cyclostationary property. Recently, Gardner and Chen introduced the estimate of the time difference of arrival (TDOA) of a cyclostationary signal at two separate sensors by exploiting the cyclic spectrum of this signal. But their method uses only a single slice from the cyclic spectrum. In this paper, we derive the maximum likehood estimator of the TDOA, using the stationary representation of a cyclostationary signal. We estimate the cyclic spectrum by the multivariate AR model fitting. As this method uses all parts of the cyclic spectrum, the performance of this method is better than the previous ones. This was clarified by the results of the computer simulation.