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

Aykut Koç; Haldun M. Ozaktas; Lambertus Hesselink

doi:10.1117/12.884676

19 May 2011 Fast and accurate algorithms for quadratic phase integrals in optics and signal processing

Aykut Koç, Haldun M. Ozaktas, Lambertus Hesselink

Proceedings Volume 8043, Three-Dimensional Imaging, Visualization, and Display 2011; 804304 (2011) https://doi.org/10.1117/12.884676
Event: SPIE Defense, Security, and Sensing, 2011, Orlando, Florida, United States

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.

Citation Download Citation

Aykut Koç, Haldun M. Ozaktas, and 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); https://doi.org/10.1117/12.884676

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