In this paper, we investigate Bauer's method for the matrix spectral factorization of an r-channel matrix product filter which is a halfband autocorrelation matrix. We regularize the resulting matrix spectral factors by an averaging approach and by multiplication by a unitary matrix. This leads to the approximate and exact orthogonal SA4 multiscaling functions. We also find the corresponding orthogonal multiwavelet functions, based on the QR decomposition.

翻译：在本文中,我们调查了Bauer对半频带自动反应矩阵产品过滤器(半频段矩阵)的矩形光谱系数化方法,我们通过平均法和单一矩阵乘法将由此形成的矩阵光谱系数规范化,从而得出近似和精确正正方形 SA4 多缩放功能。我们还根据QR的分解,找到了相应的正方形多波段函数。