Additive discrete 1D linear canonical transform

Liang Zhao; John J. Healy; Chang-liang Guo; John T. Sheridan

doi:10.1117/12.2188229

22 September 2015 Additive discrete 1D linear canonical transform

Liang Zhao, John J. Healy, Chang-liang Guo, John T. Sheridan

Proceedings Volume 9599, Applications of Digital Image Processing XXXVIII; 95992E (2015) https://doi.org/10.1117/12.2188229
Event: SPIE Optical Engineering + Applications, 2015, San Diego, California, United States

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.

Citation Download Citation

Liang Zhao, John J. Healy, Chang-liang Guo, and John T. Sheridan "Additive discrete 1D linear canonical transform", Proc. SPIE 9599, Applications of Digital Image Processing XXXVIII, 95992E (22 September 2015); https://doi.org/10.1117/12.2188229

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