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Check matrix generating device, check matrix generating method, encoder, transmitter, decoder, and receiver

机译:校验矩阵生成装置,校验矩阵生成方法,编码器,发送器,解码器以及接收器

摘要

When arranging J cyclic permutation matrices I(pj,l) with p rows and q columns (0≦j≦J−1, 0≦l≦L−1) in a row direction and also arranging L cyclic permutation matrices I(pj,l) in a column direction so as to generate a regular quasi-cyclic matrix having uniform row and column weights, a quasi-cyclic matrix generating unit 31 configures the regular quasi-cyclic matrix by combining cyclic permutation matrices I(pj,l) in each of which matrix elements whose row number is r (0≦r≦p−1) and whose column number is (r+pj,l) mod p are “1”s, and other matrix elements are “0”s in such a way that a plurality of cyclic permutation matrices I(pj,l) arranged at, e.g., the 1st row differ from one another.
机译:当在行方向上排列具有p行和q列(0≤j≤J-1,0≤l≤L-1)的J个循环置换矩阵I(p j,l )时,还进行排列沿列方向的L个循环置换矩阵I(p j,l )以产生具有均匀行和列权重的规则准循环矩阵,准循环矩阵产生单元 31 通过组合循环置换矩阵I(p j,l )来配置常规准循环矩阵,其中每个矩阵元素的行号为r(0≦r≦p-1)并且其列号为(r + p j,l )mod p为“ 1”,而其他矩阵元素为“ 0”,以使得多个循环置换矩阵I(排列在例如第一行的p j,l )彼此不同。

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