首页> 外国专利> Algebraic construction of LDPC (Low Density Parity Check) codes with corresponding parity check matrix having CSI (Cyclic Shifted Identity) sub-matrices

Algebraic construction of LDPC (Low Density Parity Check) codes with corresponding parity check matrix having CSI (Cyclic Shifted Identity) sub-matrices

机译:LDPC(低密度奇偶校验)码的代数构造,具有带有CSI(循环移位标识)子矩阵的相应奇偶校验矩阵

摘要

Algebraic method to construct LDPC (Low Density Parity Check) codes with parity check matrix having CSI (Cyclic Shifted Identity) sub-matrices. A novel approach is presented by which identity sub-matrices undergo cyclic shifting, thereby generating CSI sub-matrices that are arranged forming a parity check matrix of an LDPC code. The parity check matrix of the LDPC code may correspond to a regular LDPC code, or the parity check matrix of the LDPC code may undergo further modification to transform it to that of an irregular LDPC code. The parity check matrix of the LDPC code may be partitioned into 2 sub-matrices such that one of these 2 sub-matrices is transformed to be a block dual diagonal matrix; the other of these 2 sub-matrices may be modified using a variety of means, including the density evolution approach, to ensure the desired bit and check degrees of the irregular LDPC code.
机译:用具有CSI(循环移位标识)子矩阵的奇偶校验矩阵构造LDPC(低密度奇偶校验)代码的代数方法。提出了一种新颖的方法,通过该方法,身份子矩阵经历循环移位,从而生成被布置为形成LDPC码的奇偶校验矩阵的CSI子矩阵。 LDPC码的奇偶校验矩阵可以对应于常规LDPC码,或者可以对LDPC码的奇偶校验矩阵进行进一步修改以将其变换为不规则LDPC码的奇偶校验矩阵。可以将LDPC码的奇偶校验矩阵划分为2个子矩阵,以便将这2个子矩阵之一转换为块双对角矩阵。这两个子矩阵中的另一个可以使用多种方式修改,包括密度演化方法,以确保不规则LDPC码的所需位和校验度。

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