{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,21]],"date-time":"2026-05-21T17:10:40Z","timestamp":1779383440367,"version":"3.53.1"},"reference-count":11,"publisher":"World Scientific Pub Co Pte Ltd","issue":"07","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J CIRCUIT SYST COMP"],"published-print":{"date-parts":[[2018,6,30]]},"abstract":"<jats:p> This paper proposes a two-step strategy for designing a variable-bandwidth (VBW) digital filter through minimizing the [Formula: see text]-norm of the magnitude-response error. This [Formula: see text]-norm design can be regarded as a generalized version of the existing weighted-least-squares (WLS) design. Equivalently, the WLS design is a special case of the [Formula: see text]-norm-minimization design for [Formula: see text]. This paper discusses the design of the recursive VBW filter with the transfer function whose denominator is expressed as the product of the second-order sections. As long as all the second-order sections are stable, the recursive VBW filter is also stable. To ensure that the designed recursive VBW filter is stable, we adopt the coefficient-conversion strategy that constrains all the denominator-parameter pairs of the second-order sections within the stability triangle. This paper also proposes a novel conversion function for performing the coefficient conversion. As a consequence, the designed VBW filter is definitely stable. A bandpass VBW filter is designed for showing the feasibility of the [Formula: see text]-norm-minimization-based design and verifying the stability guarantee. <\/jats:p>","DOI":"10.1142\/s0218126618501025","type":"journal-article","created":{"date-parts":[[2017,10,29]],"date-time":"2017-10-29T23:00:35Z","timestamp":1509318035000},"page":"1850102","source":"Crossref","is-referenced-by-count":26,"title":["The Lp-Norm-Minimization Design of Stable Variable-Bandwidth Digital Filters"],"prefix":"10.1142","volume":"27","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8501-9151","authenticated-orcid":false,"given":"Tian-Bo","family":"Deng","sequence":"first","affiliation":[{"name":"Department of Information Science, Faculty of Science, Toho University, Miyama 2-2-1, Funabashi, Chiba 274-8510, Japan"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2018,3,26]]},"reference":[{"key":"S0218126618501025BIB001","doi-asserted-by":"publisher","DOI":"10.1109\/31.41307"},{"key":"S0218126618501025BIB002","doi-asserted-by":"publisher","DOI":"10.1109\/82.624989"},{"key":"S0218126618501025BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-1684(00)00220-6"},{"key":"S0218126618501025BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2015.06.014"},{"key":"S0218126618501025BIB005","doi-asserted-by":"publisher","DOI":"10.1080\/00207217.2016.1175033"},{"key":"S0218126618501025BIB007","doi-asserted-by":"publisher","DOI":"10.1109\/82.205818"},{"key":"S0218126618501025BIB010","doi-asserted-by":"publisher","DOI":"10.13164\/re.2015.1002"},{"key":"S0218126618501025BIB011","doi-asserted-by":"publisher","DOI":"10.1109\/82.943337"},{"key":"S0218126618501025BIB012","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2006.875385"},{"key":"S0218126618501025BIB013","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2004.827150"},{"key":"S0218126618501025BIB014","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2004.831922"}],"container-title":["Journal of Circuits, Systems and Computers"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218126618501025","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T09:30:27Z","timestamp":1565083827000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218126618501025"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,3,26]]},"references-count":11,"journal-issue":{"issue":"07","published-online":{"date-parts":[[2018,3,26]]},"published-print":{"date-parts":[[2018,6,30]]}},"alternative-id":["10.1142\/S0218126618501025"],"URL":"https:\/\/doi.org\/10.1142\/s0218126618501025","relation":{},"ISSN":["0218-1266","1793-6454"],"issn-type":[{"value":"0218-1266","type":"print"},{"value":"1793-6454","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,3,26]]}}}