{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,3,25]],"date-time":"2023-03-25T06:31:20Z","timestamp":1679725880247},"reference-count":12,"publisher":"World Scientific Pub Co Pte Lt","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J CIRCUIT SYST COMP"],"published-print":{"date-parts":[[2016,8]]},"abstract":"<jats:p> In the design of recursive digital filters, the stability of the recursive digital filters must be guaranteed. Furthermore, it is desirable to add a certain amount of margin to the stability so as to avoid the violation of stability due to some uncertain perturbations of the filter coefficients. This paper extends the well-known stability-triangle of the second-order digital filter into more general cases, which results in dented stability-triangles and generalized stability-triangle. The generalized stability-triangle can be viewed as a special case of the dented stability-triangles if the two upper bounds on the radii of the two poles are the same, which is a generalized version of the existing conventional stability-triangle and can guarantee the radii of the two poles of the second-order recursive digital filter below some prescribed upper bound. That is, it is able to provide a prescribed stability-margin in terms of the upper bound of the pole radii. As a result, the generalized stability-triangle increases the flexibility for guaranteeing a prescribed stability-margin. Since the generalized stability-triangle is parameterized by using the upper bound of pole radii, i.e., the stability-margin is parameterized as a function of the upper bound, the proposed generalized stability-triangle facilitates the stability-margin guarantee in the design of the second-order as well as high-order recursive digital filters. <\/jats:p>","DOI":"10.1142\/s0218126616500948","type":"journal-article","created":{"date-parts":[[2016,4,15]],"date-time":"2016-04-15T04:13:40Z","timestamp":1460693620000},"page":"1650094","source":"Crossref","is-referenced-by-count":5,"title":["Generalized Stability-Triangle for Guaranteeing the Stability-Margin of the Second-Order Digital Filter"],"prefix":"10.1142","volume":"25","author":[{"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":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2016,5,17]]},"reference":[{"key":"S0218126616500948BIB001","doi-asserted-by":"publisher","DOI":"10.1109\/31.41307"},{"key":"S0218126616500948BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/0165-1684(89)90021-2"},{"key":"S0218126616500948BIB003","first-page":"335","volume":"138","author":"Hussein A. O.","year":"1991","journal-title":"IEE Proc.-G"},{"key":"S0218126616500948BIB004","doi-asserted-by":"publisher","DOI":"10.1109\/82.624989"},{"key":"S0218126616500948BIB005","doi-asserted-by":"publisher","DOI":"10.1109\/81.704825"},{"key":"S0218126616500948BIB006","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-1684(00)00202-4"},{"key":"S0218126616500948BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-1684(00)00220-6"},{"key":"S0218126616500948BIB009","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2002.803361"},{"key":"S0218126616500948BIB010","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2005.854406"},{"key":"S0218126616500948BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2009.03.021"},{"key":"S0218126616500948BIB012","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2010.2089558"},{"key":"S0218126616500948BIB013","volume-title":"Digital Filters and Signal Processing","author":"Jackson L. B.","year":"1992","edition":"2"}],"container-title":["Journal of Circuits, Systems and Computers"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218126616500948","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T01:17:20Z","timestamp":1565140640000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218126616500948"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,5,17]]},"references-count":12,"journal-issue":{"issue":"08","published-online":{"date-parts":[[2016,5,17]]},"published-print":{"date-parts":[[2016,8]]}},"alternative-id":["10.1142\/S0218126616500948"],"URL":"https:\/\/doi.org\/10.1142\/s0218126616500948","relation":{},"ISSN":["0218-1266","1793-6454"],"issn-type":[{"value":"0218-1266","type":"print"},{"value":"1793-6454","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,5,17]]}}}