Title :
Multilevel codes based on partitioning
Author :
Pottie, Gregory J. ; Taylor, Desmond P.
Author_Institution :
Dept. of Electr. & Comput. Eng., McMaster Univ., Hamilton, Ont., Canada
fDate :
1/1/1989 12:00:00 AM
Abstract :
Following V.V. Ginzburg (1984), a hierarchy of codes is proposed to match the geometric partitioning of a signal set. The authors show that coset codes (including Ungerboeck, lattice, and binary codes) and indeed any codes which rely on partitioning of the signal set are all subclasses of the proposed coding scheme. The combination of such codes in a multilevel scheme often leads to reduced complexity in comparison with previously published schemes. A variety of decoder structures is discussed
Keywords :
encoding; error correction codes; Ungerboeck codes; binary codes; coset codes; geometric partitioning; lattice codes; multilevel codes; signal set; Binary codes; Block codes; Councils; Euclidean distance; Frequency shift keying; Hamming distance; Lattices; Maximum likelihood decoding; Modulation coding; Phase modulation;
Journal_Title :
Information Theory, IEEE Transactions on
