Reconstruction of multidimensional bandlimited signals from multichannel samples in linear canonical transform domain. Issue 6 (1st August 2014)

• Record Type: Journal Article
• Authors: Wei, Deyun; Li, Yuanmin
• Is Part Of: IET signal processing. Volume 8:Issue 6(2014)
• Page Start: 647
• Page End: 657
• Publication Date: 2014-08-01
• Subjects: signal processing -- transforms; multidimensional bandlimited signal reconstruction -- multichannel samples -- linear canonical transform domain -- LCT -- signal processing -- optics processing -- multidimensional multichannel samples -- multidimensional multichannel sampling -- MMS -- bandlimited signal -- transfer functions -- image super resolution -- image scaling; Signal processing -- Periodicals; 621.3822
• DOI: 10.1049/iet-spr.2013.0240
• Languages: English
• ISSNs: 1751-9675

Abstract

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.