{"id":{"repo_id":"windsor","oai_identifier":"oai:uwindsor.scholaris.ca:20.500.14776/1734"},"canonical_url":"https://search.dev.ndltd.org/etd/windsor/oai:uwindsor.scholaris.ca:20.500.14776/1734","repository":{"repo_id":"windsor","name":"University of Windsor","base_url":"https://uwindsor.scholaris.ca/server/oai/request"},"display":{"title":"FIR filter design using Jacobian elliptic Sn function with wavelet applications.","abstract":"This thesis presents a new method of digital FIR filter design based on the Jacobian elliptic sine function. In addition to a general design, a special result is obtained for Quadrature Mirror Filters (QMF) for use in multi-resolution filter banks. These are called Quasi-Dyadic FIR filters. Most of the Quasi-Dyadic filter coefficients are alpha2-n , where alpha is the scale of the coefficients and n is a positive integer. With these special coefficients, the 'multiply' operation may be changed to a 'shift' operation in assembly coding in signal filtering. Since 'shift' is much faster than the 'multiply' instruction in most microprocessors or DSP chipsets, the Quasi-Dyadic filter is more efficient. For multi-resolution filter banks (wavelet-like), perfect reconstruction (PR) is shown to be possible by a novel strategy. In addition, simpler structures that do not provide PR are shown to be valuable in practical applications. Implementation on a DSP board is also presented. Source: Masters Abstracts International, Volume: 39-02, page: 0567. Adviser: James Soltis. Thesis (M.A.Sc.)--University of Windsor (Canada), 2000.","abstract_html":"This thesis presents a new method of digital FIR filter design based on the Jacobian elliptic sine function. In addition to a general design, a special result is obtained for Quadrature Mirror Filters (QMF) for use in multi-resolution filter banks. These are called Quasi-Dyadic FIR filters. Most of the Quasi-Dyadic filter coefficients are alpha2-n , where alpha is the scale of the coefficients and n is a positive integer. With these special coefficients, the 'multiply' operation may be changed to a 'shift' operation in assembly coding in signal filtering. Since 'shift' is much faster than the 'multiply' instruction in most microprocessors or DSP chipsets, the Quasi-Dyadic filter is more efficient. For multi-resolution filter banks (wavelet-like), perfect reconstruction (PR) is shown to be possible by a novel strategy. In addition, simpler structures that do not provide PR are shown to be valuable in practical applications. Implementation on a DSP board is also presented. Source: Masters Abstracts International, Volume: 39-02, page: 0567. Adviser: James Soltis. Thesis (M.A.Sc.)--University of Windsor (Canada), 2000.","abstract_has_math":false,"creators":["Qiu, (John) Zhengluo"],"institution":"University of Windsor","degree_name":"M.A.Sc.","degree_level":"Masters","degree_discipline":"Civil and Environmental Engineering","degree_department":null,"school":null,"contributors":[],"advisors":["Soltis, James"],"committee_chairs":[],"committee_members":[],"year":2000,"date_issued":"2000-01-01","date_published":"2000-01-01","updated_at":"2026-07-27T22:04:57Z","subjects":[],"languages":["en_CA"],"rights":[],"rights_urls":["http://creativecommons.org/licenses/by-nc-nd/4.0/"],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/20.500.14776/1734","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Soltis, James"]},{"key":"dc:creator","label":"Author","values":["Qiu, (John) Zhengluo"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2025-06-12 11:27"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2013-03-21 8:36","2025-06-12T15:27:49Z"]},{"key":"dc:date.issued","label":"Date","values":["2000-01-01"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Civil and Environmental Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Masters"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.A.Sc."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Windsor"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en_CA"]},{"key":"dc:rights","label":"Dc Rights","values":["http://creativecommons.org/licenses/by-nc-nd/4.0/"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://hdl.handle.net/20.500.14776/1734"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["This thesis presents a new method of digital FIR filter design based on the Jacobian elliptic sine function. In addition to a general design, a special result is obtained for Quadrature Mirror Filters (QMF) for use in multi-resolution filter banks. These are called Quasi-Dyadic FIR filters. Most of the Quasi-Dyadic filter coefficients are alpha2-n , where alpha is the scale of the coefficients and n is a positive integer. With these special coefficients, the 'multiply' operation may be changed to a 'shift' operation in assembly coding in signal filtering. Since 'shift' is much faster than the 'multiply' instruction in most microprocessors or DSP chipsets, the Quasi-Dyadic filter is more efficient. For multi-resolution filter banks (wavelet-like), perfect reconstruction (PR) is shown to be possible by a novel strategy. In addition, simpler structures that do not provide PR are shown to be valuable in practical applications. Implementation on a DSP board is also presented. Source: Masters Abstracts International, Volume: 39-02, page: 0567. Adviser: James Soltis. Thesis (M.A.Sc.)--University of Windsor (Canada), 2000."]},{"key":"dc:title","label":"Title","values":["FIR filter design using Jacobian elliptic Sn function with wavelet applications."]}]}],"canonical_facts":{"dc:contributor.advisor":["Soltis, James"],"dc:creator":["Qiu, (John) Zhengluo"],"dc:date.accessioned":["2025-06-12 11:27"],"dc:date.available":["2013-03-21 8:36","2025-06-12T15:27:49Z"],"dc:date.issued":["2000-01-01"],"dc:description.abstract":["This thesis presents a new method of digital FIR filter design based on the Jacobian elliptic sine function. In addition to a general design, a special result is obtained for Quadrature Mirror Filters (QMF) for use in multi-resolution filter banks. These are called Quasi-Dyadic FIR filters. Most of the Quasi-Dyadic filter coefficients are alpha2-n , where alpha is the scale of the coefficients and n is a positive integer. With these special coefficients, the 'multiply' operation may be changed to a 'shift' operation in assembly coding in signal filtering. Since 'shift' is much faster than the 'multiply' instruction in most microprocessors or DSP chipsets, the Quasi-Dyadic filter is more efficient. For multi-resolution filter banks (wavelet-like), perfect reconstruction (PR) is shown to be possible by a novel strategy. In addition, simpler structures that do not provide PR are shown to be valuable in practical applications. Implementation on a DSP board is also presented. Source: Masters Abstracts International, Volume: 39-02, page: 0567. Adviser: James Soltis. Thesis (M.A.Sc.)--University of Windsor (Canada), 2000."],"dc:identifier.uri":["https://hdl.handle.net/20.500.14776/1734"],"dc:language.iso":["en_CA"],"dc:rights":["http://creativecommons.org/licenses/by-nc-nd/4.0/"],"dc:title":["FIR filter design using Jacobian elliptic Sn function with wavelet applications."],"dc:type":["text"],"thesis:degree_discipline":["Civil and Environmental Engineering"],"thesis:degree_level":["Masters"],"thesis:degree_name":["M.A.Sc."],"thesis:institution_name":["University of Windsor"]},"updated_at":"2026-07-27T22:04:57Z"}