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METHOD FOR PERFORMING SOFT DECISION DECODING OF EUCLIDEAN SPACE REED-MULLER CODE
METHOD FOR PERFORMING SOFT DECISION DECODING OF EUCLIDEAN SPACE REED-MULLER CODE
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机译:欧盟空间里德-穆勒码的软决策解码方法
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摘要
PROBLEM TO BE SOLVED: To provide soft decision decoding of a codeword of a Reed-Muller (RM) code by selecting an optimal decomposition variable i using a likelihood calculation.;SOLUTION: A code RM(r, m) is expressed as {(u, uv)|(u belongs to RM(r, m-1)) and (v belongs to RM(r-1, m-1))} where uv denotes a component-wise multiplication of u and v, and (u, uv)=(r1, r2). A received codeword is separated into r1=u and r2=uv based on the optimal decomposition variable, and r2 is decoded according to the optimal decomposition variable, using an RM(r-1, m-1) decoder to obtain a decoded v and a first set of decoded bits. The decoded v is combined with r1 using (r1+r2v)/2, and (r1+r2v)/2 is decoded using an RM(r, m-1) decoder to obtain a decoded u and a second set of decoded bits.;COPYRIGHT: (C)2012,JPO&INPIT
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