19 May 2011 Fast and accurate algorithms for quadratic phase integrals in optics and signal processing
Author Affiliations +
Abstract
The class of two-dimensional non-separable linear canonical transforms is the most general family of linear canonical transforms, which are important in both signal/image processing and optics. Application areas include noise filtering, image encryption, design and analysis of ABCD systems, etc. To facilitate these applications, one need to obtain a digital computation method and a fast algorithm to calculate the input-output relationships of these transforms. We derive an algorithm of NlogN time, N being the space-bandwidth product. The algorithm controls the space-bandwidth products, to achieve information theoretically sufficient, but not redundant, sampling required for the reconstruction of the underlying continuous functions.
© (2011) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Aykut Koç, Aykut Koç, Haldun M. Ozaktas, Haldun M. Ozaktas, Lambertus Hesselink, Lambertus Hesselink, } "Fast and accurate algorithms for quadratic phase integrals in optics and signal processing", Proc. SPIE 8043, Three-Dimensional Imaging, Visualization, and Display 2011, 804304 (19 May 2011); doi: 10.1117/12.884676; https://doi.org/10.1117/12.884676
PROCEEDINGS
5 PAGES


SHARE
Back to Top