The analysis of decimation and interpolation in the linear canonical transform domain

被引：7
|
作者：
Xu, Shuiqing [1 ]
Chai, Yi [1 ,2 ]
Hu, Youqiang [1 ]
Huang, Lei [1 ]
Feng, Li [1 ]
机构：
[1] Chongqing Univ, Coll Automat, Chongqing, Peoples R China
[2] Chongqing Univ, State Key Lab Power Transmiss Equipment & Syst Sy, Chongqing, Peoples R China
来源：
SPRINGERPLUS | 2016年 / 5卷
基金：
中国国家自然科学基金;
关键词：
Linear canonical transform; Decimation and interpolation; Polyphase network; Differential filter; BAND-LIMITED SIGNALS; FRACTIONAL FOURIER-TRANSFORM; THEOREMS;
D O I：
10.1186/s40064-016-3479-4
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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.
引用
收藏
页数：12
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