Paper Info
Title
Two-dimensional nonseparable discrete linear canonical transform based on CM-CC-CM-CC decomposition.
Abstract
As a generalization of the 2D Fourier transform (2D FT) and 2D fractional Fourier transform, the 2D nonseparable linear canonical transform (2D NsLCT) is useful in optics and signal and image processing. To reduce the digital implementation complexity of the 2D NsLCT, some previous works decomposed the 2D NsLCT into several low-complexity operations, including 2D FT, 2D chirp multiplication (2D CM), and 2D affine transformations. However, 2D affine transformations will introduce interpolation error. In this paper, we propose a new decomposition called CM-CC-CM-CC decomposition, which decomposes the 2D NsLCT into two 2D CMs and two 2D chirp convolutions. No 2D affine transforms are involved. Simulation results show that the proposed methods have higher accuracy, lower computational complexity, and smaller error in the additivity property compared with the previous works. Plus, the proposed methods have a perfect reversibility property, meaning that one can reconstruct the input signal/image losslessly from the output. (C) 2016 Optical Society of America
Year
DOI
Venue
2017
10.1364/JOSAA.33.000214
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION
Field
DocType
Volume
Affine transformation,Constant Q transform,Non-uniform discrete Fourier transform,Harmonic wavelet transform,Algorithm,Fourier transform,Discrete Fourier transform (general),Discrete Fourier transform,Fractional Fourier transform,Classical mechanics,Physics
Journal
33
Issue
ISSN
Citations 
2
1084-7529
0
PageRank 
References 
Authors
0.34
5
2
Name
Order
Citations
PageRank
Soo-Chang Pei12054241.11
Shih-Gu Huang2436.44