对称的2-通道正交多滤波器组的参数化

Parameterization of 2-Channel Orthogonal Multifilter Banks with Symmety

主要对对称或反对称的2-通道正交多滤波器组的参数化形式进行了深入的讨论与研究.我们给出了具有对称中心γ/2的正交多滤波器组的参数化.当γ=2L时,求正交多滤波器组的参数化就是求阶为L的仿酉多相距阵的参数化.通过已有的结论以及逆变换就能够给出原正交多滤波器组的参数化.

We make a systematic and deep investigation for the parameterization form of 2-channel orthogonal multifilter banks with symmetry or antisymmetry.we obtain the parameterization of orthogonal multifilter banks with symmetric center γ /2 .When γ=2L ,to give the parameterization form of orthogonal multifilter banks is to obtain that of its paraunitary polyphase with order L .We can obtain the parameterization of the original orthogonal multifilter banks by the conclusion and inverse transformation.