Performance bounds for turbo-coded modulation systems

Tolga M. Duman

Research output: Contribution to journalArticlepeer-review

49 Scopus citations


We apply the standard union bound to turbo-coded modulation systems with maximum-likelihood decoding. To illustrate the methodology, we explicitly derive the bounds for the 2-bits/s/Hz 16 QAM system. Generalization of this bound to other turbo-coded modulation systems is straightforward. As in the case of the standard union bound for turbo codes, we expect these bounds to be useful for rather large values of signal-to-noise ratios, i.e., signal-to-noise ratios for which the code rate is smaller than the corresponding cutoff rate. The bound is based on 'uniform interleaving' just as its counterpart for standard turbo coding. The derived bound provides a tool for comparing coded modulation schemes having different component codes, interleaver lengths, mappings, etc., using maximum-likelihood decoding. It is also useful in studying the effectiveness of various suboptimal decoding algorithms. The bounding technique is also applicable to other coded-modulation schemes such as serially concatenated coded modulation.

Original languageEnglish (US)
Pages (from-to)511-521
Number of pages11
JournalIEEE Transactions on Communications
Issue number4
StatePublished - 1999
Externally publishedYes

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


Dive into the research topics of 'Performance bounds for turbo-coded modulation systems'. Together they form a unique fingerprint.

Cite this