Multi-channel filter banks associated with linear canonical transform

被引：16

作者：

Zhao, Juan ^{[1
]}

Tao, Ran ^{[1
]}

Wang, Yue ^{[1
]}

机构：

[1] Beijing Inst Technol, Dept Elect Engn, Fundamental Sci Multiple Informat Syst Lab, Beijing 100081, Peoples R China

来源：

SIGNAL PROCESSING | 2013年 / 93卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Linear canonical transform; Filter banks; Perfect reconstruction; Polyphase decomposition; UNCERTAINTY PRINCIPLES; CONVOLUTION;

D O I：

10.1016/j.sigpro.2012.09.008

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The linear canonical transform (LCT) has been shown to be a powerful tool for optics and signal processing. This paper investigates multi-channel filter banks associated with the La. First, the perfect reconstruction (PR) conditions are analyzed and design method of PR filter banks for the La is proposed, which demonstrates that the LCT based filter banks can inherit conventional design methods of filter banks in the Fourier domain. Then polyphase decompositions in the LCT domain are defined and polyphase realization of the LCT based filter banks is derived in terms of polyphase matrices. Furthermore, multi-channel cyclic filter banks associated with the LCT are proposed by defining circular convolution in the La domain. The PR design method and polyphase representation of cyclic filter banks for the LCT are derived similarly. Finally, simulations validate the proposed design methods of the LCT based filter banks and also demonstrate potential application of the La based cyclic filter banks in image subband decomposition. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：695 / 705

页数：11

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