Evaluating distance spectra and performance bounds of trellis codes on channels with intersymbol interference

1 May 1991

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory

Vol. 37 (3) , 627-634
https://doi.org/10.1109/18.79918

Abstract

A general class of trellis codes whose generating trellis can be labeled by a set of linear labels is defined. It is shown that for these codes there exist conditions on the signal mapping that make it possible to calculate the distance spectrum with respect to a distance measure (e.g., Euclidean distance) assuming an arbitrary correct sequence. This class of new codes contains most known trellis codes. It is then shown that this approach can be extended to calculate the distance spectra of certain trellis codes on intersymbol interference channels, e.g., Ungerboeck 8-PSK trellis codes. Examples of the distance spectra and union bounds on the bit-error probability for channels with and without intersymbol interference are evaluated. A comparison to simulation results is used to demonstrate the tightness of the bounds.

Keywords

This publication has 11 references indexed in Scilit:

Decoding of trellis-encoded signals in the presence of intersymbol interference and noise
IEEE Transactions on Communications, 1989
An algorithm for computing the distance spectrum of trellis codes
IEEE Journal on Selected Areas in Communications, 1989
Combined coding and modulation: theory and applications
IEEE Transactions on Information Theory, 1988
New trellis codes based on lattices and cosets
IEEE Transactions on Information Theory, 1987
On the performance evaluation of trellis codes
IEEE Transactions on Information Theory, 1987
Trellis-coded modulation with redundant signal sets Part II: State of the art
IEEE Communications Magazine, 1987
Trellis-coded modulation with redundant signal sets Part I: Introduction
IEEE Communications Magazine, 1987
High-Level Modulation and Coding for Nonlinear Satellite Channels
IEEE Transactions on Communications, 1984
Adaptive Maximum-Likelihood Receiver for Carrier-Modulated Data-Transmission Systems
IEEE Transactions on Communications, 1974
Maximum-likelihood sequence estimation of digital sequences in the presence of intersymbol interference
IEEE Transactions on Information Theory, 1972