Performance analysis of a class of nondata-aided frequency offset and symbol timing estimators for flat-fading channels

Nondata-aided carrier frequency offset and symbol timing delay estimators for linearly modulated waveforms transmitted through flat-fading channels have been recently developed by exploiting the received signal's second-order cyclostationary statistics. The goal of this paper is to establish and analyze the asymptotic (large sample) performance of the estimators as a function of the pulse shape bandwidth and the oversampling factor. It is shown that selecting larger values for the oversampling factor does not improve the performance of these estimators, and the accuracy of symbol timing delay estimators improves as the pulse shape bandwidth increases.