MMSE Performance of Carrierless AM/PM Receiver with DFEs in Presence of Data-Like Cross-Talks

Abstract — In this paper, we determine the minimum meansquare error (MMSE) performance of a 2–D carrierless AM/PM (CAP) receiver with an ideal (analog feedforward and infinitelength baud-spaced cross-connected) decision feedback equalizer (DFE), in the presence of data-like cross-talks. The MMSE at the slicer is firstly derived for a generic multi-dimensional CAP system with cross-connected DFEs. However, this result requires the explicit factorization of the channel spectral matrix. In the case of the standard 2–D CAP line code, we are able to overcome this difficulty by exploiting the Hilbert transform-pair property of the shaping filters. I