Nonlinear trellis description for convolutionally encoded transmission over ISI-channels with applications for CPM

Abstract—In this paper we propose a matched decoding scheme for convolutionally encoded transmission over intersym-bol interference (ISI) channels and devise a nonlinear trellis description. As an application we show that for coded continuous phase modulation (CPM) using a non-coherent receiver the number of states of the super-trellis can be significantly reduced by means of a matched non-linear trellis encoder. Index Terms—ISI-channel; continuous phase modulation; con-volutionally encoded transmission; matched decoding; non-coherent differential detection; super-trellis decoding I