title: The analysis of decimation and interpolation in the linear canonical transform domain.
abstract: Decimation and interpolation are the two basic building blocks in the multirate digital signal processing systems. As the linear canonical transform (LCT) has been shown to be a powerful tool for optics and signal processing, it is worthwhile and interesting to analyze the decimation and interpolation in the LCT domain. In this paper, the definition of equivalent filter in the LCT domain have been given at first. Then, by applying the definition, the direct implementation structure and polyphase networks for decimator and interpolator in the LCT domain have been proposed. Finally, the perfect reconstruction expressions for differential filters in the LCT domain have been presented as an application. The proposed theorems in this study are the bases for generalizations of the multirate signal processing in the LCT domain, which can advance the filter banks theorems in the LCT domain.
authors: College of Automation, Chongqing University, Chongqing, China.
authors: Shuiqing
authors: S
authors: Xu
authors: College of Automation, Chongqing University, Chongqing, China ; State Key Laboratory of Power Transmission Equipment and System Security and New Technology, Chongqing University, Chongqing, China.
authors: Yi
authors: Y
authors: Chai
authors: College of Automation, Chongqing University, Chongqing, China.
authors: Youqiang
authors: Y
authors: Hu
authors: College of Automation, Chongqing University, Chongqing, China.
authors: Lei
authors: L
authors: Huang
authors: College of Automation, Chongqing University, Chongqing, China.
authors: Li
authors: L
authors: Feng
keywords: Decimation and interpolation; Differential filter; Linear canonical transform; Polyphase network