Full-duplex fast estimation of echo and channel responses in the presence of frequency offsets in both far echo and far signal

In a previous publication, we proposed a full-duplex fast training procedure for simultaneously estimating echo and channel responses. It reduces the tap-setting time to half of that required by the traditional half-duplex fast training schemes. However, its estimation accuracy may be degraded by the frequency offsets in both far echo and far signal that are caused by the analog carrier network. We extend the previous work and develop a new algorithm that can compensate for the phase rotation components introduced by these frequency offsets. The performance of the new method is analyzed in terms of mean-square error. Simulation results are presented to confirm the analysis.