DocumentCode :
939763
Title :
Limiting error bounds for the continuous channel
Author :
Burr, A.G.
Author_Institution :
University of York, Department of Electronics, York, UK
Volume :
134
Issue :
6
fYear :
1987
fDate :
10/1/1987 12:00:00 AM
Firstpage :
571
Lastpage :
582
Abstract :
The paper presents an approach by which absolute error bounds may be derived for the continuous channel, thus determining the limits of the performance of a modulation and coding scheme. The code is considered as a set of points in n-dimensional space, and the concept of a sphere-packing in n dimensions based on the regular simplex is used to determine the maximum packing density. The effect of code points on the edges of the signal space is also considered. Upper and lower bounds on the error rate are derived for various code rates and various block lengths (numbers of dimensions). The results are of relevance to combined coding/modulation schemes, and n-dimensional coding schemes, and show that a coding advantage of approximately 2dB is obtained for every doubling of the number of dimensions.
Keywords :
codes; encoding; modulation; telecommunication channels; 2 dB; absolute error bounds; block lengths; code rates; coding; continuous channel; modulation; packing density;
fLanguage :
English
Journal_Title :
Communications, Radar and Signal Processing, IEE Proceedings F
Publisher :
iet
ISSN :
0143-7070
Type :
jour
DOI :
10.1049/ip-f-1:19870095
Filename :
4647268
Link To Document :
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