与Slant矩阵相关的多通道滤波器的构造

Construction for Multiple-channel Filters Associated With Slant Matrix

为了构造多通道滤波器,研究了Slant矩阵各行元素和的特性.由该矩阵的第一行构造了一个低通滤波器,其它各行构造了一组高通滤波器.同时借助多相位分解,证明了多通道低通滤波器满足完全重构条件.给出了分解实例,验证了构造的多通道分解滤波器的有效性.

In order to construct multiple-channel filters, the property of the sum of all the elements in each row of Slant matrix was investigated. A low-pass filter was constructed by the first row while a group of high-pass filters constructed by all the other rows. Meanwhile, by polyphase factorization, it was proved that the low-pass filter satisfies perfect reconstruction condition. Finally, two examples on signal decomposition were proposed, and the validity of constructed multiple channel decomposition filters was verified.