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SIGNAL DECODER AND METHOD FOR PERFORMING HERMITIAN MATRIX INVERSION
SIGNAL DECODER AND METHOD FOR PERFORMING HERMITIAN MATRIX INVERSION
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机译：进行埃尔米特矩阵求逆的信号解码器和方法
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摘要
The present invention provides a signal decoder (100) for performing matrix inversion of an N x N Hermitian input matrix (G), wherein the signal decoder (100) is configured to provide an N x 2N augmented matrix (K0) having as a left matrix the matrix (BLO) and as a right matrix the matrix (BRO); perform a recursive sequence of operations indexed by k that ranges from 0 to (N — 1) each of which includes a row and column permutation operation followed by a multiplication from the left of a lower triangular matrix (AK) on the matrix (BLO) and the matrix (BRO); provide a lower triangular matrix (L); provide a conjugated transposed upper triangular matrix (LH) of the lower triangular matrix (L); calculate a permuted, inverted input matrix (G_1) by multiplying the conjugated transposed upper triangular matrix (LH) and the lower triangular matrix (L); and provide the inverse input matrix (G_1).
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机译：本发明提供了用于执行 N x N 厄米输入矩阵（G）的矩阵求逆的信号解码器（100），其中，信号解码器（100）被配置为提供 N x 2 N 扩充矩阵（K 0 ），矩阵（B L O ）和作为右矩阵的矩阵（B R O ）;执行以k为索引的递归操作序列，范围从0到（N_1），每个操作包括行和列置换操作，然后是下三角矩阵（A K ）在矩阵（B L O ）和矩阵（B R O ）上;提供下三角矩阵（L）;提供下三角矩阵（L）的共轭转置的上三角矩阵（L H ）;通过将共轭转置的上置三角矩阵（L H ）与下置三角矩阵（L）相乘，来计算排列的反向输入矩阵（G _1 ）;并提供逆输入矩阵（G _1 ）。
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