Upper bound on the effective error coefficient of two-stage decoding, and good two-level decompositions of some Reed-Muller codes
Abstract
In this letter, an upper bound on the effective error coefficient of a two-level code with two-stage decoding is presented. This bound provides a guideline for constructing two-level codes to achieve a good trade-off between the error performance and decoding complexity. Based on this bound, good two-level decompositions of some Reed-Muller codes for two-stage decoding are found. Simulation results on the error performances of some Reed-Muller codes of lengths up to 64 with two-stage soft-decision suboptimum decoding based on their two-level decompositions are given.
- Publication:
-
IEEE Transactions on Communications
- Pub Date:
- February 1994
- Bibcode:
- 1994ITCom..42..813W
- Keywords:
-
- Boundaries;
- Coefficients;
- Decoding;
- Decomposition;
- Error Correcting Codes;
- Information Theory;
- Computerized Simulation;
- Performance Prediction;
- Electronics and Electrical Engineering