Frequency Offset Estimation from Coded Transmission over Flat Rayleigh Fading Channel: Bounds and Algorithms

In this contribution, we consider the carrier frequency offset (CFO) estimation from encoded signals transmitted over fading channel with non-constant gain. We derive for the first time the expression of the Cramer-Rao lower bound for non-data aided (NDA) CFO estimation from trellis coded modulation (TCM) transmission over flat Rayleigh fading channel (FRFC). Existing NDA carrier frequency synchronizers based on a cyclostationary approach are then studied and generalized for encoded transmission. Behavior and performances of the estimation algorithms are presented through numerical results and are compared to the derived bounds.