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Improvements of the Information-Bit Error Rate of Trellis Code Modulation Systems

Jun DU, Masao KASAHARA

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Summary :

Trellis coded modulation (TCM) is a new and attractive communication technique which yields significant coding gain with no degradation of the bandwidth efficiency. So far, researches concerning the TCM have concentrated upon minimizing the error-event probability (EEP). However, for the various bitwise data transmission systems, decreasing the post-decoding information-bit error rate (IBER) is more important than only minimizing the EEP. This paper is concerned with a simple but important problem that how to improve the IBER in TCM systems. The IBER of a TCM system depends not only on the EEP but also on the mapping of a binary m-tuple to a 2m-ary channel signal. A signal mapping called Set Partitioning mapping has been well adopted in the previously known TCM systems. In this paper, another well known signal mapping, the Gray-code mapping, is investigated as a promising signal mapping in TCM, and compared with the Set Partitioning mapping. Through a computer search, a number of optimun trellis codes with Gray-code mapping are found. It is shown that these codes have the minimum Euclidean distances as large as those of the Ungerboeck codes and yet yield smaller EEP and IBER.

Publication
IEICE TRANSACTIONS on transactions Vol.E72-E No.5 pp.609-614
Publication Date
1989/05/25
Publicized
Online ISSN
DOI
Type of Manuscript
PAPER
Category
Foundations of Signal Theory and Communication Theory

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