{"id":{"repo_id":"mit","oai_identifier":"oai:dspace.mit.edu:1721.1/53534"},"canonical_url":"https://search.dev.ndltd.org/etd/mit/oai:dspace.mit.edu:1721.1/53534","repository":{"repo_id":"mit","name":"MIT","base_url":"https://dspace.mit.edu/oai/request"},"display":{"title":"Digital filters and applications to seismic detection and discrimination","abstract":"The first part of this thesis is concerned with the mathematics of filtering in discrete time. Filters are defined for the purposes of 1) condensing waveforms into impulsive functions 2) wave shaping 3) noise suppression 4) signal detection according to the criterion of maximum signal-to-noise output at an instant and 5) the same over an interval. The behavior of the complex Fourier transforms of some of these filters is considered and connection is made with the theory of orthogonal polynomials. This leads to the possibility of a feed back representation of these filters. In the second part, computational experiments are described in which digital filters are applied to seismic body waves to i) try to determine whether the first arrival is up or down on a seismogram corrupted with microseismic noise, 2) increase signal-to-noise ratio on seismograms where noise has almost obliterated signal 3) assign polarity to each of two seismic first motion wavelets so they can be termed \"same\" or \"opposite,\" 4) remove spectrum of seismometer from data, 5) investigate the time varying spectral structure of underground nuclear shot seismograms.","abstract_html":"The first part of this thesis is concerned with the mathematics of filtering in discrete time. Filters are defined for the purposes of 1) condensing waveforms into impulsive functions 2) wave shaping 3) noise suppression 4) signal detection according to the criterion of maximum signal-to-noise output at an instant and 5) the same over an interval. The behavior of the complex Fourier transforms of some of these filters is considered and connection is made with the theory of orthogonal polynomials. This leads to the possibility of a feed back representation of these filters. In the second part, computational experiments are described in which digital filters are applied to seismic body waves to i) try to determine whether the first arrival is up or down on a seismogram corrupted with microseismic noise, 2) increase signal-to-noise ratio on seismograms where noise has almost obliterated signal 3) assign polarity to each of two seismic first motion wavelets so they can be termed "same" or "opposite," 4) remove spectrum of seismometer from data, 5) investigate the time varying spectral structure of underground nuclear shot seismograms.","abstract_has_math":false,"creators":["Claerbout, Jon F"],"institution":"Massachusetts Institute of Technology","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":"Massachusetts Institute of Technology. Department of Geology and Geophysics","school":null,"contributors":[],"advisors":["Stephen M. Simpson, Jr."],"committee_chairs":[],"committee_members":[],"year":1963,"date_issued":"1963","date_published":"1963","updated_at":"2026-07-22T22:20:58Z","subjects":["Geology and Geophysics."],"languages":["eng"],"rights":["M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission."],"rights_urls":["http://dspace.mit.edu/handle/1721.1/7582"],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/1721.1/53534","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Stephen M. Simpson, Jr."]},{"key":"dc:contributor.department","label":"Department","values":["Massachusetts Institute of Technology. Department of Geology and Geophysics","Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences"]},{"key":"dc:contributor.other","label":"Dc Contributor Other","values":["Massachusetts Institute of Technology. Dept. of Geology and Geophysics."]},{"key":"dc:creator","label":"Author","values":["Claerbout, Jon F"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2010-04-07T13:38:03Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2010-04-07T13:38:03Z"]},{"key":"dc:date.issued","label":"Date","values":["1963"]},{"key":"dc:publisher","label":"Institution","values":["Massachusetts Institute of Technology"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Geology and Geophysics."]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission."]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://dspace.mit.edu/handle/1721.1/7582"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/1721.1/53534"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Geology and Geophysics, 1963.","\"February 1963.\"","Includes bibliographical references (leaf 89)."]},{"key":"dc:description.abstract","label":"Abstract","values":["The first part of this thesis is concerned with the mathematics of filtering in discrete time. Filters are defined for the purposes of 1) condensing waveforms into impulsive functions 2) wave shaping 3) noise suppression 4) signal detection according to the criterion of maximum signal-to-noise output at an instant and 5) the same over an interval. The behavior of the complex Fourier transforms of some of these filters is considered and connection is made with the theory of orthogonal polynomials. This leads to the possibility of a feed back representation of these filters. In the second part, computational experiments are described in which digital filters are applied to seismic body waves to i) try to determine whether the first arrival is up or down on a seismogram corrupted with microseismic noise, 2) increase signal-to-noise ratio on seismograms where noise has almost obliterated signal 3) assign polarity to each of two seismic first motion wavelets so they can be termed \"same\" or \"opposite,\" 4) remove spectrum of seismometer from data, 5) investigate the time varying spectral structure of underground nuclear shot seismograms."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["M.S."]},{"key":"dc:title","label":"Title","values":["Digital filters and applications to seismic detection and discrimination"]}]}],"canonical_facts":{"dc:contributor.advisor":["Stephen M. Simpson, Jr."],"dc:contributor.department":["Massachusetts Institute of Technology. Department of Geology and Geophysics","Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences"],"dc:contributor.other":["Massachusetts Institute of Technology. Dept. of Geology and Geophysics."],"dc:creator":["Claerbout, Jon F"],"dc:date.accessioned":["2010-04-07T13:38:03Z"],"dc:date.available":["2010-04-07T13:38:03Z"],"dc:date.issued":["1963"],"dc:description":["Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Geology and Geophysics, 1963.","\"February 1963.\"","Includes bibliographical references (leaf 89)."],"dc:description.abstract":["The first part of this thesis is concerned with the mathematics of filtering in discrete time. Filters are defined for the purposes of 1) condensing waveforms into impulsive functions 2) wave shaping 3) noise suppression 4) signal detection according to the criterion of maximum signal-to-noise output at an instant and 5) the same over an interval. The behavior of the complex Fourier transforms of some of these filters is considered and connection is made with the theory of orthogonal polynomials. This leads to the possibility of a feed back representation of these filters. In the second part, computational experiments are described in which digital filters are applied to seismic body waves to i) try to determine whether the first arrival is up or down on a seismogram corrupted with microseismic noise, 2) increase signal-to-noise ratio on seismograms where noise has almost obliterated signal 3) assign polarity to each of two seismic first motion wavelets so they can be termed \"same\" or \"opposite,\" 4) remove spectrum of seismometer from data, 5) investigate the time varying spectral structure of underground nuclear shot seismograms."],"dc:description.degree":["M.S."],"dc:identifier.uri":["http://hdl.handle.net/1721.1/53534"],"dc:language.iso":["eng"],"dc:publisher":["Massachusetts Institute of Technology"],"dc:rights":["M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission."],"dc:rights.uri":["http://dspace.mit.edu/handle/1721.1/7582"],"dc:subject":["Geology and Geophysics."],"dc:title":["Digital filters and applications to seismic detection and discrimination"],"dc:type":["Thesis"]},"updated_at":"2026-07-22T22:20:58Z"}