NDLI: Multichannel sampling expansions in the linear canonical transform domain associated with explicit system functions and finite samples

Content Provider	IET Digital Library
Author	Zhang, Zhi Chao Yu, Tao Luo, Mao Kang Deng, Ke
Abstract	Focusing on two issues associated with the existing multichannel sampling expansions (MSEs) of the linear canonical transform (LCT), those are, the implicit expression of system functions possibly leads to the inconvenience of reconstructing signals in practical situations, and the reconstruction of the original signal from its finite samples, the authors first propose a novel MSE in the Fourier transform domain, providing an explicit expression for the response function of the reconstruction filter. Moreover on this basis, they formulate two kinds of LCT-type of MSEs related, respectively, to the modified convolution structure and the generalised convolution structure of the LCT. For these MSEs, though there is an explicit expression for system functions, the number of the signal's samples takes infinity. They then obtain multichannel interpolation formulae that interpolate a finite set of uniform samples through applying the derived MSEs to the LCT-band-limited, chirp periodic signals. They further present some possible applications of their proposals to show the advantage of the theory. Finally, the simulations are also performed to verify the correctness of the derived results.
Starting Page	814
Ending Page	824
Page Count	11
ISSN	17519675
Volume Number	11
e-ISSN	17519683
Issue Number	Issue 7, Sep (2017)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-spr/11/7
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-spr.2016.0680
Journal	IET Signal Processing
Publisher Date	2017-04-24
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Chirp Periodic Signal Explicit System Function Filtering Method in Signal Processing Filtering Theory Finite Sample Fourier Transform Fourier Transforms Integral Transforms in Numerical Analysis Interpolation Interpolation And Function Approximation LCT-band Linear Canonical Transform MSE Multichannel Interpolation Formulae Multichannel Sampling Expansions Numerical Analysis Reconstruction Filter Signal Processing Signal Processing Theory Signal Reconstruction Uniform Sample
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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