Frequency and Symbol Rate Offset Compensating Algorithms for Simultaneous Estimation of Echo and Channel Responses

This article addresses two critical problems in designing new full-duplex fast training algorithms for simultaneously estimating echo and channel responses. Although algorithms of this type have been discussed and evaluated in previous work, the proposed algorithms concentrate on coping with the following two problems that were not solved in the previous approaches: (1) the symbol rate difference between the local transmitter and the remote transmitter, and (2) the frequency offsets in both far echo and far signal that are caused by the analog carrier network. The performance of the new methods is analyzed in terms of the mean square error. Simulation results are presented to confirm the analysis.