A new convolution theorem associated with the linear canonical transform

被引：12
|
作者：
Huo, Haiye [1 ]
机构：
[1] Nanchang Univ, Sch Sci, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
来源：
SIGNAL IMAGE AND VIDEO PROCESSING | 2019年 / 13卷 / 01期
关键词：
Convolution operator; Convolution theorem; Linear canonical transform; Young's inequality; Convolution equations; BAND-LIMITED SIGNALS; UNCERTAINTY PRINCIPLES; FRACTIONAL FOURIER; SAMPLING THEOREMS; RECONSTRUCTION;
D O I：
10.1007/s11760-018-1337-2
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：
In this paper, we first introduce a new notion of canonical convolution operator, and show that it satisfies the commutative, associative, and distributive properties, which may be quite useful in signal processing. Moreover, it is proved that the generalized convolution theorem and generalized Young's inequality are also hold for the new canonical convolution operator associated with the LCT. Finally, we investigate the sufficient and necessary conditions for solving a class of convolution equations associated with the LCT.
引用
收藏
页码：127 / 133
页数：7
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