Viterbi IP Core User Guide

ID 683280
Date 11/06/2017
Public
Document Table of Contents

3.3. Trellis Coded Modulation

Trellis coded modulation (TCM) combines modulation and encoding processes to achieve better efficiency without increasing the bandwidth.

Bandwidth-constrained channels operate in the region R/W > 1, where R = data rate and W = bandwidth available. For such channels, digital communication systems use bandwidth efficient multilevel phase modulation. For example, phase shift keying (PSK), phase amplitude modulation (PAM), or quadrature amplitude modulation (QAM).

When you apply TCM to a bandwidth-constrained channel, you see a performance gain without expanding the signal bandwidth. An increase in the number of signal phases from four to eight requires approximately 4dB in additional signal power to maintain the same error rate. Hence, if TCM is to provide a benefit, the performance gain of the rate 2/3 code must overcome this 4dB penalty. If the modulation is an integral part of the encoding process and is designed in conjunction with the code to increase the minimum Euclidian distance between the pairs of coded signals, the loss from the expansion of the signal set is easily overcome and significant coding gain is achieved with relatively simple codes.

Any bandwidth-constrained system benefits from this technique, for example, satellite modem systems. The TCM Viterbi decoder only supports N = 2 (only mother code rates of 1/2).