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Signal reconstruction from incomplete and misplaced measurements

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Title: Signal reconstruction from incomplete and misplaced measurements
Author: Sastry, Challa; Hennenfent, Gilles; Herrmann, Felix J.
Subject Keywords signal reconstruction;Fourier domain;greedy algorithm;binning;Stagewise Orthogonal Matching Pursuit;basis pursuit;matching pursuit;signal recovery;Fourier reconstruction
Issue Date: 2007
Publicly Available in cIRcle 2008-03-10
Publisher European Association of Geoscientists & Engineers
Citation: Sastry, Challa, Hennenfent, Gilles, Herrmann, Felix J. 2007. Signal reconstruction from incomplete and misplaced measurements. EAGE 69th Conference & Exhibition.
Abstract: Constrained by practical and economical considerations, one often uses seismic data with missing traces. The use of such data results in image artifacts and poor spatial resolution. Sometimes due to practical limitations, measurements may be available on a perturbed grid, instead of on the designated grid. Due to algorithmic requirements, when such measurements are viewed as those on the designated grid, the recovery procedures may result in additional artifacts. This paper interpolates incomplete data onto regular grid via the Fourier domain, using a recently developed greedy algorithm. The basic objective is to study experimentally as to what could be the size of the perturbation in measurement coordinates that allows for the measurements on the perturbed grid to be considered as on the designated grid for faithful recovery. Our experimental work shows that for compressible signals, a uniformly distributed perturbation can be offset with slightly more number of measurements.
Affiliation: Earth and Ocean Sciences, Dept. of (EOS), Dept of
URI: http://hdl.handle.net/2429/550
Peer Review Status:

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