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Proceedings Paper

Additive discrete 1D linear canonical transform
Author(s): Liang Zhao; John J. Healy; Chang-liang Guo; John T. Sheridan
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Paper Abstract

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.

Paper Details

Date Published: 22 September 2015
PDF: 10 pages
Proc. SPIE 9599, Applications of Digital Image Processing XXXVIII, 95992E (22 September 2015); doi: 10.1117/12.2188229
Show Author Affiliations
Liang Zhao, Univ. College Dublin (Ireland)
John J. Healy, Univ. College Dublin (Ireland)
Chang-liang Guo, Univ. College Dublin (Ireland)
John T. Sheridan, Univ. College Dublin (Ireland)

Published in SPIE Proceedings Vol. 9599:
Applications of Digital Image Processing XXXVIII
Andrew G. Tescher, Editor(s)

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