Sampling Theory in Signal and Image Processing, volume 4, issue 1, pages 33-43

Reconstruction formula for irregular sampling

Bernard Lacaze ¹

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TeSA, Toulouse, France |

Publication type: Journal Article

Publication date: 2005-01-01

Springer Nature

Journal: Sampling Theory in Signal and Image Processing

SJR: —

CiteScore: —

Impact factor: —

ISSN: 15306429

DOI: 10.1007/bf03549423

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Computational Mathematics

Analysis

Radiology, Nuclear Medicine and imaging

Algebra and Number Theory

Abstract

Samples of functions or of stationary processes with spectrum in (−π, π) give enough information for exact reconstruction when the mean interval (if exists) between them is smaller than one. In this paper, we give formulas usable for irregular sampling. The proof uses auxiliary uniform sampling, the influence of which disappears in the limit as the number of samples tends to infinity.

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Signal Processing	Signal Processing, 2, 40% Signal Processing 2 publications, 40%
IEEE Transactions on Circuits and Systems I: Regular Papers	IEEE Transactions on Circuits and Systems I: Regular Papers, 1, 20% IEEE Transactions on Circuits and Systems I: Regular Papers 1 publication, 20%
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Elsevier	Elsevier, 2, 40% Elsevier 2 publications, 40%
Institute of Electrical and Electronics Engineers (IEEE)	Institute of Electrical and Electronics Engineers (IEEE), 2, 40% Institute of Electrical and Electronics Engineers (IEEE) 2 publications, 40%
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Springer Nature

Journal

Sampling Theory in Signal and Image Processing

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—

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—

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15306429 (Print)

Reconstruction formula for irregular sampling

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