Fast and accurate linear canonical transform algorithms
2015 23rd Signal Processing and Communications Applications Conference, SIU 2015 - Proceedings
Institute of Electrical and Electronics Engineers Inc.
1409 - 1412
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Linear canonical transforms are encountered in many areas of science and engineering. Important transformations such as the fractional Fourier transform and the ordinary Fourier transform are special cases of this transform family. This family of transforms is especially important for the modelling of wave propagation. It has many applications such as noise removal, image encryption, and analysis of optical systems. Here we discuss algorithms for fast and accurate computation of these transforms. These algorithms can achieve the same accuracy and speed as fast Fourier transform algorithms, so that they can be viewed as optimal algorithms. Efficient sampling of signals plays an important part in the development of these algorithms. © 2015 IEEE.
fractional Fourier transforms
Linear canonical transforms
Digital signal processing
Eigenvalues and eigenfunctions
Fast Fourier transforms
Fast Fourier transform algorithm
Fractional Fourier transforms
Linear canonical transform
Quadratic phase systems
Science and engineering
Published Version (Please cite this version)http://dx.doi.org/10.1109/SIU.2015.7130106
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