{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,8]],"date-time":"2026-03-08T23:14:52Z","timestamp":1773011692495,"version":"3.50.1"},"reference-count":21,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2025,7,1]],"date-time":"2025-07-01T00:00:00Z","timestamp":1751328000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"},{"start":{"date-parts":[[2025,7,1]],"date-time":"2025-07-01T00:00:00Z","timestamp":1751328000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Circuit Theory &amp;amp; Apps"],"published-print":{"date-parts":[[2026,3]]},"abstract":"<jats:title>ABSTRACT<\/jats:title>\n                  <jats:p>IIR filter realizations in QMF structures has long suffered from stability problems. A novel design for quadrature mirror filter (QMF) IIR filter bank is presented and implemented in two different applications, namely, subband coding and discrete\/complex wavelet transform. The proposed design is based on an allpass filter design for a stable IIR filter satisfying maximally flat passband amplitude conditions and prescribed regularity constraints. Then the proposed design is extended for QMF filter bank structure that can be applicable in different types of wavelets. Output samples of unstable filter realizations in the synthesis QMF part are calculated from inverse allpass filtering along with time\u2010reversed operations. A method for time\u2010reversing operations is presented to calculate the final PR (perfect reconstruction) QMF output signal. The proposed design is also extended to complex wavelets and is applied on both upper and lower trees and its dual transform structure. Frequency response graphs for the developed filter designs are presented along with time\u2010reversed signal simulations.<\/jats:p>","DOI":"10.1002\/cta.70046","type":"journal-article","created":{"date-parts":[[2025,7,1]],"date-time":"2025-07-01T04:33:52Z","timestamp":1751344432000},"page":"1363-1372","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Novel Allpass IIR\u2010Based QMF Design With Applications in Complex Wavelets"],"prefix":"10.1002","volume":"54","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2902-5661","authenticated-orcid":false,"given":"Gamal","family":"Fahmy","sequence":"first","affiliation":[{"name":"Faculty of Computer Science and Engineering Galala University  Galala Egypt"}]},{"given":"Mamdouh\u00a0F.","family":"Fahmy","sequence":"additional","affiliation":[{"name":"Electrical Engineering Department Assiut University  Assiut Egypt"}]}],"member":"311","published-online":{"date-parts":[[2025,7,1]]},"reference":[{"key":"e_1_2_8_2_1","doi-asserted-by":"publisher","DOI":"10.1109\/29.32283"},{"key":"e_1_2_8_3_1","doi-asserted-by":"publisher","DOI":"10.1109\/78.376856"},{"key":"e_1_2_8_4_1","doi-asserted-by":"publisher","DOI":"10.1109\/TASSP.1984.1164329"},{"key":"e_1_2_8_5_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1987.1086156"},{"key":"e_1_2_8_6_1","first-page":"593","article-title":"Design of Quadrature Mirror Filters With Linear\u2010Phase in the Frequency Domain","volume":"39","author":"Chen C.\u2010K.","year":"1992","journal-title":"IEEE Transactions on Circuits and Systems II"},{"issue":"6","key":"e_1_2_8_7_1","first-page":"384","article-title":"Minimax Design of Two\u2010Channel IIR QMF Banks With Arbitrary Group Delay","volume":"148","author":"Lee J. H.","year":"2001","journal-title":"IEE Proceedings"},{"issue":"5","key":"e_1_2_8_8_1","first-page":"331","article-title":"Design of Two\u2010Channel Linear\u2010Phase QMF Banks Based on Real IIR All\u2010Pass Filters","volume":"150","author":"Lee J. H.","year":"2003","journal-title":"IEE Proceedings"},{"key":"e_1_2_8_9_1","doi-asserted-by":"crossref","unstructured":"H.Lollmann M.Hildenbrand B.Geiser andP.Vary \u201cIIR QMF\u2010Bank Design for Speech and Audio Subband Coding \u201d inIEEE Workshop on Applications of Signal Processing to Audio and Acoustics WASPAA'09 (IEEE 2009):269\u2013272.","DOI":"10.1109\/ASPAA.2009.5346512"},{"key":"e_1_2_8_10_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2005.05.012"},{"issue":"9","key":"e_1_2_8_11_1","first-page":"28","article-title":"Design of Near Perfect Reconstruction IIR QMF Banks","volume":"50","author":"Stojanovi\u0107 N. V.","year":"2015","journal-title":"Journal of Electrotechnica"},{"key":"e_1_2_8_12_1","unstructured":"A.Croisier D.Esteban andC.Galand \u201cPerfect Channel Split\u2010Ting by Use of Interpolation\/Decimation\/Tree Decomposition Techniques \u201d inProceedings of the International Symposium on Information Science and Systems Patras Greece(1976):443\u2013446."},{"key":"e_1_2_8_13_1","doi-asserted-by":"crossref","unstructured":"G.Fahmy M. F.Fahmy andO. M.Fahmy \u201cAn Optimal Design for IIR All Pass QMF With Complex Wavelet Application \u201d inProceedings of 41st National Radio Science Conference (NRSC) Damietta Egypt (2024).","DOI":"10.1109\/NRSC61581.2024.10510530"},{"key":"e_1_2_8_14_1","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2004.826174"},{"key":"e_1_2_8_15_1","doi-asserted-by":"crossref","unstructured":"S. L.Gao X.Li H.Wang Z.Jian andC.Zha \u201cA New Design of All\u2010Pass IIR Filters Based Two\u2010Channel Quadrature Mirror Filter Bank \u201d IEEE International Symposium on Circuits and Systems (ISCAS) (2024):1\u20135 https:\/\/doi.org\/10.1109\/ISCAS58744.2024.10557898.","DOI":"10.1109\/ISCAS58744.2024.10557898"},{"key":"e_1_2_8_16_1","volume-title":"Multirate Systems and Filter Banks","author":"Vaidyanathan P. 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J.Nigam \u201cA Simple Method to Design FIR QMF Banks \u201d Fourth International Conference on Intelligent Sensing and Information Processing (2006).","DOI":"10.1109\/ICISIP.2006.4286103"},{"key":"e_1_2_8_22_1","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2002.804091"}],"container-title":["International Journal of Circuit Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/cta.70046","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/full-xml\/10.1002\/cta.70046","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/cta.70046","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,8]],"date-time":"2026-03-08T21:43:14Z","timestamp":1773006194000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/cta.70046"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,7,1]]},"references-count":21,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2026,3]]}},"alternative-id":["10.1002\/cta.70046"],"URL":"https:\/\/doi.org\/10.1002\/cta.70046","archive":["Portico"],"relation":{},"ISSN":["0098-9886","1097-007X"],"issn-type":[{"value":"0098-9886","type":"print"},{"value":"1097-007X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,7,1]]},"assertion":[{"value":"2025-02-06","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-06-18","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-07-01","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}