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Title: Reconstruction of bandlimited signals from irregular samples
Authors: Goha, S.S. 
Ong, I.G.H.
Keywords: Bandlimited signals
Fourier frames
Frame bounds
Irregular sampling sequences
Sampled coefficients
Issue Date: Oct-1995
Source: Goha, S.S.,Ong, I.G.H. (1995-10). Reconstruction of bandlimited signals from irregular samples. Signal Processing 46 (3) : 315-329. ScholarBank@NUS Repository.
Abstract: The classical theorem of Shannon enables one to reconstruct a finite-energy, bandlimited signal from a set of regularly spaced samples. Recently, Benedetto and Heller applied the theory of frames to derive a series of sampling theorems with irregularly spaced sampling sequences. In this paper, we study one of these theorems with emphasis on its implementation. To implement the theorem, sampling sequences and sampled coefficients are required. Here, general schemes to construct sampling sequences, and to evaluate sampled coefficients, are established. In addition, we provide an error analysis on the approximation of sampled coefficients. Numerical results are furnished to illustrate the theory and to study various related issues. These issues include the choice of sampling sequences and functions, the effect of truncating the sampling formula, and the influence of the irregularity of sampling sequences. © 1995.
Source Title: Signal Processing
ISSN: 01651684
Appears in Collections:Staff Publications

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