An analytical approach for performance evaluation of a class of receivers with joint equalization and Carrier Frequency synchronization

In this paper we consider an SC-FDE (Single Carrier Frequency-Domain Equalization) block transmission with residual frequency errors. We employ a frequency-domain iterative DFE (Decision Feedback Equalization) denoted by Iterative Block-Decision Frequency Equalization (IB-DFE), which is combined with a Decision-directed (DD) Carrier Frequency Offset (CFO) estimator. This estimator produces a CFO estimate plus compensation within each iteration of the equalizer. We develop a model to predict the performance of IB-DFE receivers with joint detection and carrier frequency synchronization. Likewise, we propose a graphical tool allowing to predict the number of iterations needed to reach a given Bit Error Rate (BER) and the value of the BER for each iteration.