基于Walsh谱分析线性码的纠错性能  

Analysis of Linear Code Error-correction Capability Based on Walsh Spectrum

作　　者：张谨[1] 苏广川[1] 

机构地区：[1]北京理工大学信息技术学院,北京100081

出　　处：《无线电工程》2006年第5期19-20,58,共3页Radio Engineering

基　　金：国家863课题资助(2003AA146010)

摘　　要：利用Walsh-Hadamard变换实现纠错译码,对译码过程中生成的Walsh谱进行了深入分析,提出了Walsh谱母函数作为一种新的工具用于研究码的潜在纠错能力。以(15,5)BCH码为例,通常认为该码最大可纠的误码量为3,但通过Walsh谱分析表明,该码还可以部分纠正有4、5个错的接收矢量,成功概率分别为50%和16.67%。The decoding result is called Walsh spectrum during the error- correction process using the Walsh - Hadamard translation. Based on Walsh spectrum, the spectrum mother function is presented as a new tool for studying potential error - correction capability. For example, the （15, 5） BCH code can correct no more 3 errors generally,but the analysis shows that it can correct 4 and 5 errors sometimes, success probability is 50% and 16.67% respectively.

关 键 词：WALSH谱 线性码 纠错译码 母函数 

分 类 号：TP919.22[自动化与计算机技术]