当前位置: X-MOL 学术Circuits Syst. Signal Process. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Complete Factorization of the 2the following-Band Paraunitary Polyphase Matrix with Multiple Centers of Symmetry
Circuits, Systems, and Signal Processing ( IF 2.3 ) Pub Date : 2019-09-27 , DOI: 10.1007/s00034-019-01273-0
Guoqiu Wang , Yong Chen , Dingxun Yi

The design of filter banks with multiple centers of symmetry is very difficult. In this paper, a space decomposition of an orthogonal projection matrix is studied. This decomposition plays a key role in a new complete factorization theory. In addition, the concept of a minimal starting block matrix is proposed and is used to establish a new factorization of a 2m-band paraunitary polyphase matrix with multiple centers of symmetry. This factorization has the completeness property. The different possible forms of the minimal starting block matrix, which lead to the different types of filter banks, are obtained. Through different combinations of minimal starting block matrices and orthogonal projection matrices, the general solutions of a 2m-band paraunitary system with multiple centers are obtained theoretically. The four-band issue is discussed in detail as an example.

中文翻译:

具有多个对称中心的 2 下带准多相矩阵的完全分解

具有多个对称中心的滤波器组的设计非常困难。本文研究了正交投影矩阵的空间分解。这种分解在新的完全分解理论中起着关键作用。此外,提出了最小起始块矩阵的概念,并用于建立具有多个对称中心的 2m 波段准多相矩阵的新分解。这种因式分解具有完备性。获得了导致不同类型滤波器组的最小起始块矩阵的不同可能形式。通过最小起始块矩阵和正交投影矩阵的不同组合,理论上得到了2m波段多中心超幺正系统的通解。
更新日期:2019-09-27
down
wechat
bug