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 2 dB is obtained for every doubling of the number of dimensions.
| Original language | English |
|---|---|
| Pages (from-to) | 571-582 |
| Number of pages | 12 |
| Journal | IEE Proceedings F: Communications Radar and Signal Processing |
| Volume | 134 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1987 |
Keywords
- Codes and decoding
- Errors and error analysis
- Information and communication theory
- Modulation