CODES OVER GAUSSIAN INTEGERS

被引：116

作者：

HUBER, K

机构：

[1] Deutsche Bundespost Telekom, Research Institute FZl23a

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 1994年 / 40卷 / 01期

关键词：

BLOCK CODES; GAUSSIAN INTEGERS; SUM OF 2 SQUARES; MANHATTAN DISTANCE; MANNHEIM DISTANCE; QAM SIGNAL CONSTELLATIONS;

D O I：

10.1109/18.272484

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this contribution it is shown how block codes over Gaussian integers can be used for coding over two-dimensional signal space. We introduce a two-dimensional modular distance called Mannheim distance and propose using codes designed for this distance. Some simple constructions of such codes are given, among them icyclic codes which belong to the class of constacyclic codes. As a special case icyclic codes include perfect one Mannheim error correcting codes. For most of the codes considered efficient decoders are given and their performance on the Gaussian channel is investigated.

引用

页码：207 / 216

页数：10