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An l (sub p) -space matching pursuit algorithm and its application to robust seismic data denoising via time-domain Radon transforms

Ji Li and Mauricio D. Sacchi
An l (sub p) -space matching pursuit algorithm and its application to robust seismic data denoising via time-domain Radon transforms
Geophysics (June 2021) 86 (3): V171-V183

Abstract

Sparse solutions of linear systems of equations are essential in many applications of seismic data processing. These systems arise in many denoising algorithms, such as those that use Radon transforms. We have developed a robust matching pursuit (RMP) algorithm for the retrieval of sparse Radon domain coefficients. The algorithm is robust to outliers and, hence, is applicable for seismic data deblending. The classic matching pursuit (MP) algorithm is often adopted to approximate data by a small number of basis functions. It performs effectively for data contaminated with well-behaved, typically Gaussian, random noise. However, MP tends to identify the wrong basis functions when the data are contaminated by erratic noise such as source interference encountered in common-receiver and common-channel gathers of simultaneous source surveys. Incorporating an l (sub p) space inner product into the MP algorithm significantly increases its robustness to erratic signals. Deblending experiments with synthetic and field data examples indicate a significant signal-to-noise ratio improvement when one adopts a Radon denoiser computed via our RMP solver. We determine in detail the steps required to implement our l (sub p) space RMP algorithm when the basis functions are not given in an explicit form, as is the case with the time-domain Radon transform.


ISSN: 0016-8033
EISSN: 1942-2156
Coden: GPYSA7
Serial Title: Geophysics
Serial Volume: 86
Serial Issue: 3
Title: An l (sub p) -space matching pursuit algorithm and its application to robust seismic data denoising via time-domain Radon transforms
Affiliation: University of Alberta, Department of Physics, Edmonton, AB, Canada
Pages: V171-V183
Published: 202106
Text Language: English
Publisher: Society of Exploration Geophysicists, Tulsa, OK, United States
References: 49
Accession Number: 2021-045083
Categories: Applied geophysics
Document Type: Serial
Bibliographic Level: Analytic
Illustration Description: illus.
Country of Publication: United States
Secondary Affiliation: GeoRef, Copyright 2021, American Geosciences Institute. Reference includes data from GeoScienceWorld, Alexandria, VA, United States. Reference includes data supplied by Society of Exploration Geophysicists, Tulsa, OK, United States
Update Code: 2021
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