Additive Discrete 1D Linear Canonical Transform

被引：1
|
作者：
Zhao, Liang [1 ]
Healy, John J. [1 ]
Guo, Chang-liang [1 ]
Sheridan, John T. [1 ]
机构：
[1] Natl Univ Ireland Univ Coll Dublin, Coll Engn & Architecture, SFI Strateg Res Cluster Solar Energy Convers, Sch Elect Elect & Commun Engn,Lab IoE2, Dublin 4, Ireland
来源：
APPLICATIONS OF DIGITAL IMAGE PROCESSING XXXVIII | 2015年 / 9599卷
关键词：
Linear canonical transform; Additive; Discrete optical signal processing; Fresnel transform; Digital holography; FRACTIONAL FOURIER; ALGORITHMS; FRESNEL; DISCRETIZATION; OPTICS;
D O I：
10.1117/12.2188229
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
The continuous linear canonical transforms (LCT) can describe a wide variety of wave field propagations through paraxial (first order) optical systems. Digital algorithms to numerically calculate the LCT are therefore important in modelling scalar wave field propagations and are also of interest for many digital signal processing applications. The continuous LCT is additive, but discretization can remove this property. In this paper we discuss three special cases of the LCT for which constraints can be identified to ensure the DLCT is additive.
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页数：10
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