NDLI: Generalised sampling theory with rational sampling factors

Content Provider	IET Digital Library
Author	Zhang, Chao Hao, Pengwei
Abstract	The authors consider the problem of reconstructing a signal from the outputs of several systems, which are sampled with periods related by rational factors. They present a unified framework in terms of which generalised sampling theories presented by previous researchers can be discussed. Using the spectral aliasing matrix (SAM), the modelling of generalised sampling can be studied in the cases of both bandlimited and non-bandlimited input signals. In comparison with the generalised sampling theories by Papoulis, Brown and some other scientists, which were based on the same sampling rate, they extend the theory by introducing the SAM and formulating sampling in an elegant matrix representation and considering generalised sampling of different sampling rates with rational factors. Several solution methods of the derived system of linear equations are presented. These methods can also be applied in both the band-limited and the non-band-limited input signal cases, and the easiest reconstruction implementation can be chosen in the temporal or the frequency domain. Finally, they present some experimental results with a one-dimensional signal designed to test the performance of the proposed algorithm for various sampling rates and under different noise conditions.
Starting Page	235
Ending Page	247
Page Count	13
ISSN	17519675
Volume Number	9
e-ISSN	17519683
Issue Number	Issue 3, May (2015)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-spr/9/3
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-spr.2014.0042
Journal	IET Signal Processing
Publisher Date	2015-04-16
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	1D Signal Algebra Linear Equation Matrix Algebra Matrix Representation Nonbandlimited Input Signal Rational Sampling Factors SAM Sampling Theory Signal Processing And Detection Signal Processing Theory Signal Reconstruction Signal Representation Signal Sampling Spectral Aliasing Matrix
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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