Trellis Coded 4-ary PAM using Distance-Preserving Mapping

A trellis coded 4-ary Pulse Amplitude Modulation (4-PAM) is presented, where the encoding algorith derived from Distance Preserving Mapping (DPM) algorithm. In this work, we modify DPM algorithm for 4-PAM and obtain a new construction mapping binary sequences to permutation sequences, are obtained by permuting symbols of constellation. The resulting codebook formed way termed mappings. We also present several metrics assessing performance mappings our construction, show that metric called Sum Product Distances (SOPD) best use when judging Finally, results compared against each other conventional in literature