Fast and accurate algorithms for quadratic phase integrals in optics and signal processing
Ozaktas, H., M.
Proceedings of SPIE - The International Society for Optical Engineering
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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.
Linear Canonical Transforms
Design and analysis
Fast and accurate algorithms
Linear canonical transform
Published Version (Please cite this version)http://dx.doi.org/10.1117/12.884676
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