Non-data aided joint estimation of carrier frequency offset and channel using periodic modulation precoders: performance analysis

Previous results have shown that blind channel estimators, which are robust to the location of channel zeros and channel order overestimation errors, can be derived for communication channels equipped with transmitted induced cyclostationarity (TIC) precoders. This paper addresses the problem of joint estimation of the unknown intersymbol interference (ISI) and carrier frequency offset using TIC-based set-ups. First, it is shown that the second-order cyclic statistics of the output allow recovery of the channel taps under a scaling factor ambiguity dependent on the unknown carrier offset frequency. Next, a carrier frequency estimator is proposed, and its asymptotic (large sample) performance is analyzed. It is shown that the asymptotic performance of the frequency estimator improves in the presence of a channel equalizer for high SNRs. Finally, numerical simulations are presented to collaborate the performance of proposed algorithms.