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TIT
1998

Block-Coded PSK Modulation Using Two-Level Group Codes Over Dihedral Groups

13 years 11 months ago
Block-Coded PSK Modulation Using Two-Level Group Codes Over Dihedral Groups
—A length n group code over a group G is a subgroup of Gn under component-wise group operation. Group codes over dihedral groups DM, with 2M elements, that are two-level constructible using a binary code and a code over ZM residue class integer ring modulo M, as component codes are studied for arbitrary M. A set of necessary and sufficient conditions on the component codes for the two-level construction to result in a group code over DM are obtained. The conditions differ for M odd and even. Using two-level group codes over DM as label codes, performance of block-coded modulation scheme is discussed under all possible matched labelings of 2M-APSK and 2M-SPSK (asymmetric and symmetric PSK) signal sets in terms of the minimum squared Euclidean distance. Matched labelings that lead to Automorphic Euclidean Distance Equivalent codes are identified. It is shown that depending upon the ratio of Hamming distances of the component codes some labelings perform better than other. The best la...
Jyoti Bali, B. Sundar Rajan
Added 23 Dec 2010
Updated 23 Dec 2010
Type Journal
Year 1998
Where TIT
Authors Jyoti Bali, B. Sundar Rajan
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