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SIGNAL DECODER AND METHOD FOR DETERMINING THE QR DECOMPOSITION OF AN M×N INPUT MATRIX
SIGNAL DECODER AND METHOD FOR DETERMINING THE QR DECOMPOSITION OF AN M×N INPUT MATRIX
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机译：信号解码器和确定M×N输入矩阵QR分解的方法
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摘要
The present invention provides signal decoder 100 for determining the QR decomposition of an M x N input matrix (H), with M≥ N, with a product of an M x N orthonormal matrix (Q) and an N x N upper triangular matrix (R). The signal decoder 100 is configured to calculate a conjugated transposed matrix (HH) of the input matrix (H) and to calculate a Hermitian matrix (G) by multiplying the conjugated transposed matrix (HH) of the input matrix (H) and the input matrix (H) in the form G = HHH. Further, the signal decoder 100 is configured to provide an augmented N x (M + N) matrix (K0) having as a left matrix the matrix (I) and as a right matrix the matrix (II), and to multiply the augmented matrix (K0) from the left with a series of lower triangular matrices (Ak) where k ranges from 0 to (N— 1).
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机译：本发明提供了一种信号解码器100，用于确定M≥N的M x N输入矩阵（H）与M x N正交矩阵（Q）与N x N上三角矩阵（ R）。信号解码器100被配置为计算输入矩阵（H）的共轭转置矩阵（H H ），并通过将共轭乘积来计算厄米矩阵（G）输入矩阵（H）和输入矩阵（H）的转置矩阵（H H ）的形式为G = H H H。此外，信号解码器100被配置为提供具有矩阵（I）作为左矩阵和矩阵（II）作为右矩阵的增强的N x（M + N）矩阵（K 0 ）。 ），然后将左侧的扩充矩阵（K 0 ）与一系列下三角矩阵（A k ）相乘，其中k个范围从0到（N-1）。
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