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Content Provider | IET Digital Library |
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Author | Wei, Deyun Li, Yuanmin |
Abstract | The linear canonical transform (LCT) has been shown to be a powerful tool for optics and signal processing. In this study, the authors address the problem of signal reconstruction from the multidimensional multichannel samples in the LCT domain. Firstly, they pose and solve the problem of expressing the kernel of the multidimensional LCT in the elementary functions. Then, they propose the multidimensional multichannel sampling (MMS) for the bandlimited signal in the LCT domain based on a basis expansion of an exponential function. The MMS expansion which is constructed by the ordinary convolution structure can reduce the effect of the spectral leakage and is easy to implement. Thirdly, based on the MMS expansion, they obtain the reconstruction method for the multidimensional derivative sampling and the periodic non-uniform sampling by designing the system filter transfer functions. Finally, the simulation results and the potential applications of the MMS are presented. Especially, the application of the multidimensional derivative sampling in the context of the image scaling about the image super-resolution is discussed. |
Starting Page | 647 |
Ending Page | 657 |
Page Count | 11 |
ISSN | 17519675 |
Volume Number | 8 |
e-ISSN | 17519683 |
Issue Number | Issue 6, Aug (2014) |
Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/iet-spr/8/6 |
Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/10.1049/iet-spr.2013.0240 |
Journal | IET Signal Processing |
Publisher Date | 2014-01-29 |
Access Restriction | Open |
Rights Holder | © The Institution of Engineering and Technology |
Subject Keyword | Bandlimited Signal Image Scaling Image Super Resolution Integral Transforms LCT Linear Canonical Transform Domain MMS Multichannel Sample Multidimensional Bandlimited Signal Reconstruction Multidimensional Multichannel Sample Multidimensional Multichannel Sampling Optics Processing Signal Processing Signal Processing And Detection Signal Processing Theory Transfer Function Transform |
Content Type | Text |
Resource Type | Article |
Subject | Signal Processing Electrical and Electronic Engineering |
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