Fast and accurate algorithms for quadratic phase integrals in optics and signal processing

Date
2011
Advisor
Instructor
Source Title
Proceedings of SPIE
Print ISSN
0277-786X
Electronic ISSN
Publisher
SPIE
Volume
8043
Issue
Pages
Language
English
Type
Conference Paper
Journal Title
Journal ISSN
Volume Title
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 SPIE.

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Other identifiers
Book Title
Keywords
ABCD optics, Fast algorithms, Linear Canonical Transforms, Quadratic-Phase Systems, Transforms, Bandwidth, Imaging systems, Mathematical transformations, Optics, Signal processing, Visualization, Continuous functions, Design and analysis, Digital computation, Fast algorithms, Fast and accurate algorithms, Image encryptions, Linear canonical transform, Space-bandwidth product, Algorithms
Citation
Published Version (Please cite this version)