A systematic approach to the construction of bandwidth-efficient multidimensional trellis codes

We present a unified approach to the construction of multidimensional trellis codes that have small constellation expansion ratio (CER) and small peak-to-average power ratio (PAR) and hence are of high bandwidth efficiency. In the approach, we extend Wei's (1987) construction to dimensionalitie...

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Bibliographic Details
Published in:IEEE transactions on communications 2000-11, Vol.48 (11), p.1808-1817
Main Authors: Cuong Dinh, Hashimoto, T.
Format: Article
Language:English
Subjects:
Bandwidth
Coders
Constellation diagram
Constellations
Construction
Convolutional codes
Costs
Decoding
Encoders
Gain
Modulation coding
Multidimensional systems
Partitions
Peak to average power ratio
Quadrature amplitude modulation
Signal generators
Trellis codes
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Summary:We present a unified approach to the construction of multidimensional trellis codes that have small constellation expansion ratio (CER) and small peak-to-average power ratio (PAR) and hence are of high bandwidth efficiency. In the approach, we extend Wei's (1987) construction to dimensionalities other than a power of two and propose a low-complexity encoder. We also present a general partition technique that gives geometrically uniform partitions with a good distance profile. The proposed method can generate many good codes including previously reported Ungerboeck codes, Gallager-Calderbank-Sloane codes, and Wei codes with quadrature amplitude modulation signals. Some newly discovered six-dimensional trellis codes are compared with these known codes on their CER, PAR, effective coding gain, and encoder/decoder complexities.
ISSN:0090-6778
1558-0857
DOI:10.1109/26.886471