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                <full_title>Geophysics</full_title>
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                  <title>Polarization analysis and filtering of undersampled 3C seismic data in the frequency-slowness domain</title>
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                    <given_name>Ivan J.</given_name>
                    <surname>Sánchez-Galvis</surname>
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                        <institution_name>Universidad Industrial de Santander 1 , School of Electrical, Electronics and Telecommunications Engineering, Bucaramanga, Colombia. ivanjavier240@gmail.com (corresponding author)</institution_name>
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                    <ORCID>http://orcid.org/0000-0001-9972-9827</ORCID>
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                    <given_name>William</given_name>
                    <surname>Agudelo</surname>
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                        <institution_name>Ecopetrol S.A. 2 , Piedecuesta, Colombia. william.agudelo@ecopetrol.com.co</institution_name>
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                    <ORCID>http://orcid.org/0000-0003-4086-878X</ORCID>
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                  <person_name sequence="additional" contributor_role="author">
                    <given_name>Daniel O.</given_name>
                    <surname>Trad</surname>
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                        <institution_name>University of Calgary 3 , Consortium for Research in Elastic Wave Exploration Seismology (CREWES), Calgary, Canada. daniel.trad@ucalgary.ca</institution_name>
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                    <ORCID>http://orcid.org/0000-0002-9726-789X</ORCID>
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                    <given_name>Daniel</given_name>
                    <surname>Sierra</surname>
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                        <institution_name>Universidad Industrial de Santander 1 , School of Electrical, Electronics and Telecommunications Engineering, Bucaramanga, Colombia. dasierra@uis.edu.co</institution_name>
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                  <jats:p>Polarization filters have emerged as a useful tool for coherent noise denoising in multicomponent seismic data. By exploiting the polarization properties of seismic waves, these filters can significantly improve wave-type separation, which is a crucial step in seismic data processing. However, their effectiveness in land seismic data in complex areas can be impacted by the presence of scattering noise, and their applicability is limited by irregular spatial sampling, which hinders velocity information for wave-type discrimination. To address these limitations, we introduce a novel two-step method for distinguishing and separating polarized wave types in shot gathers captured from a spatially undersampled linear array of 3C vector sensors. The first step involves conducting a polarization analysis in the frequency-slowness domain using elliptical elements derived from the linear Radon transform of the seismic data. The second step isolates specific polarized waves using the 3C frequency-slowness polarization filter (3C-FSPF), a technique that uses tailored taper functions based on polarization analysis. Our method stands out from single-station filters that cannot use velocity information for wave-type discrimination and existing multistation filters that require regularly sampled data. To evaluate our method, comprehensive tests are conducted on synthetic and real data. The results consistently demonstrate the effectiveness of 3C-FSPF in separating diverse polarized wave types under conditions of irregular and sparse spatial sampling and noise. Our findings underscore the potential of this method for advancing exploration geophysics by enhancing the quality of seismic data, particularly in land regions with complex near-surface structures.</jats:p>
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