{"id":{"repo_id":"must-thes","oai_identifier":"oai:scholarsmine.mst.edu:doctoral_dissertations-3129"},"canonical_url":"https://search.dev.ndltd.org/etd/must-thes/oai:scholarsmine.mst.edu:doctoral_dissertations-3129","repository":{"repo_id":"must-thes","name":"Missouri University of Science and Technology","base_url":"https://scholarsmine.mst.edu/do/oai/"},"display":{"title":"An introduction to linear time-variant digital filtering of seismic data","abstract":"\"The exploration geophysicist is constantly searching for new and better methods for analyzing seismic data. The primary purpose of this dissertation is to introduce linear time-variant digital filters as a technique for the filtering of seismic data. Methods of characterizing linear time-variant digital filters are discussed in general terms. The advantages of the different impulse and frequency responses are cited. In addition, the meanings and possible interpretations of the time and frequency variables introduced are considered. The concept of linear time-variant digital delay filters is presented along with their relationship to impulse responses. A pictorial diagram of discrete time-variant impulse responses is included for clarity. Frequency domain concepts are discussed and elucidated with a simple example. In general, the amplitude characteristic and phase-lag characteristic, illustrated in the example, are functions of both frequency and time (i.e., the instant of observation). The optimization of linear time-variant digital filters is carried out for a nonstationary random input. The ensemble mean-square error criterion is used, assuming that the autocorrelation of the input and the crosscorrelation of the input with the desired output are known. It is concluded that linear time-variant digital filters will extract additional information from the seismic data but with quite a large increase in computation\"--Abstract, pages i-ii.","abstract_html":""The exploration geophysicist is constantly searching for new and better methods for analyzing seismic data. The primary purpose of this dissertation is to introduce linear time-variant digital filters as a technique for the filtering of seismic data. Methods of characterizing linear time-variant digital filters are discussed in general terms. The advantages of the different impulse and frequency responses are cited. In addition, the meanings and possible interpretations of the time and frequency variables introduced are considered. The concept of linear time-variant digital delay filters is presented along with their relationship to impulse responses. A pictorial diagram of discrete time-variant impulse responses is included for clarity. Frequency domain concepts are discussed and elucidated with a simple example. In general, the amplitude characteristic and phase-lag characteristic, illustrated in the example, are functions of both frequency and time (i.e., the instant of observation). The optimization of linear time-variant digital filters is carried out for a nonstationary random input. The ensemble mean-square error criterion is used, assuming that the autocorrelation of the input and the crosscorrelation of the input with the desired output are known. It is concluded that linear time-variant digital filters will extract additional information from the seismic data but with quite a large increase in computation"--Abstract, pages i-ii.","abstract_has_math":false,"creators":["Lassley, Richard Harold"],"institution":"University of Missouri at Rolla","degree_name":"Ph. D. in Mining Engineering","degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2016,"date_issued":"2016-02-10T08:00:00Z","date_published":"2016-02-10T08:00:00Z","updated_at":"2026-07-24T03:19:04Z","subjects":["Mining Engineering"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://scholarsmine.mst.edu/doctoral_dissertations/2127","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Lassley, Richard Harold"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2016-02-10T08:00:00Z"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation - Open Access"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph. D. in Mining Engineering"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Missouri at Rolla"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Mining Engineering"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholarsmine.mst.edu/doctoral_dissertations/2127"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["\"The exploration geophysicist is constantly searching for new and better methods for analyzing seismic data. The primary purpose of this dissertation is to introduce linear time-variant digital filters as a technique for the filtering of seismic data. Methods of characterizing linear time-variant digital filters are discussed in general terms. The advantages of the different impulse and frequency responses are cited. In addition, the meanings and possible interpretations of the time and frequency variables introduced are considered. The concept of linear time-variant digital delay filters is presented along with their relationship to impulse responses. A pictorial diagram of discrete time-variant impulse responses is included for clarity. Frequency domain concepts are discussed and elucidated with a simple example. In general, the amplitude characteristic and phase-lag characteristic, illustrated in the example, are functions of both frequency and time (i.e., the instant of observation). The optimization of linear time-variant digital filters is carried out for a nonstationary random input. The ensemble mean-square error criterion is used, assuming that the autocorrelation of the input and the crosscorrelation of the input with the desired output are known. It is concluded that linear time-variant digital filters will extract additional information from the seismic data but with quite a large increase in computation\"--Abstract, pages i-ii."]},{"key":"dc:title","label":"Title","values":["An introduction to linear time-variant digital filtering of seismic data"]}]}],"canonical_facts":{"dc:creator":["Lassley, Richard Harold"],"dc:date.available":["2016-02-10T08:00:00Z"],"dc:description.abstract":["\"The exploration geophysicist is constantly searching for new and better methods for analyzing seismic data. The primary purpose of this dissertation is to introduce linear time-variant digital filters as a technique for the filtering of seismic data. Methods of characterizing linear time-variant digital filters are discussed in general terms. The advantages of the different impulse and frequency responses are cited. In addition, the meanings and possible interpretations of the time and frequency variables introduced are considered. The concept of linear time-variant digital delay filters is presented along with their relationship to impulse responses. A pictorial diagram of discrete time-variant impulse responses is included for clarity. Frequency domain concepts are discussed and elucidated with a simple example. In general, the amplitude characteristic and phase-lag characteristic, illustrated in the example, are functions of both frequency and time (i.e., the instant of observation). The optimization of linear time-variant digital filters is carried out for a nonstationary random input. The ensemble mean-square error criterion is used, assuming that the autocorrelation of the input and the crosscorrelation of the input with the desired output are known. It is concluded that linear time-variant digital filters will extract additional information from the seismic data but with quite a large increase in computation\"--Abstract, pages i-ii."],"dc:identifier":["https://scholarsmine.mst.edu/doctoral_dissertations/2127"],"dc:subject":["Mining Engineering"],"dc:title":["An introduction to linear time-variant digital filtering of seismic data"],"dc:type":["Dissertation - Open Access"],"thesis:degree_name":["Ph. D. in Mining Engineering"],"thesis:institution_name":["University of Missouri at Rolla"]},"updated_at":"2026-07-24T03:19:04Z"}