Evaluate the Word Error Rate of Binary Block Codes with Square Radius Probability Density Function
Abstract
The word error rate (WER) of softdecisiondecoded binary block codes rarely has closedform. Bounding techniques are widely used to evaluate the performance of maximumlikelihood decoding algorithm. But the existing bounds are not tight enough especially for low signaltonoise ratios and become looser when a suboptimum decoding algorithm is used. This paper proposes a new concept named square radius probability density function (SRPDF) of decision region to evaluate the WER. Based on the SRPDF, The WER of binary block codes can be calculated precisely for ML and suboptimum decoders. Furthermore, for a long binary block code, SRPDF can be approximated by Gamma distribution with only two parameters that can be measured easily. Using this property, two closedform approximative expressions are proposed which are very close to the simulation results of the WER of interesting.
 Publication:

arXiv eprints
 Pub Date:
 October 2007
 DOI:
 10.48550/arXiv.0710.1916
 arXiv:
 arXiv:0710.1916
 Bibcode:
 2007arXiv0710.1916C
 Keywords:

 Computer Science  Information Theory
 EPrint:
 I tried to fix the problem that figures cannot be displayed in Version1~3, but it doesnot work. Some new results about decoding threshold is added in version 4 and a pdf is included which is compile in my PC. Figures can displayed