{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T10:10:27Z","timestamp":1648721427951},"reference-count":16,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J CIRCUIT SYST COMP"],"published-print":{"date-parts":[[2015,3]]},"abstract":"<jats:p> The residue theorem is a powerful tool in mathematics and signal processing, such as it is usually employed for the inverse Laplace transform and the inverse Z transform. With respect to the most commonly rational functional form in the Z transform, a theorem and a new formula for residue calculus based on the singular zero point is introduced. Then two consequences are proposed. Finally, based on the derived theorems, a new convenient algorithm for computing the inverse Z transform is presented. Applications with satisfying results indicate convenience and workability of the proposed method. <\/jats:p>","DOI":"10.1142\/s0218126615500334","type":"journal-article","created":{"date-parts":[[2014,11,30]],"date-time":"2014-11-30T21:31:52Z","timestamp":1417383112000},"page":"1550033","source":"Crossref","is-referenced-by-count":0,"title":["A Residue Calculus of Isolated Singular Zero Point and Its Application in Z Transform"],"prefix":"10.1142","volume":"24","author":[{"given":"Zong-Chang","family":"Yang","sequence":"first","affiliation":[{"name":"School of Information and Electronical Engineering, Hunan University of Science and Technology, Xiangtan, 411201, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2015,2,10]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-8176-4919-7_2"},{"key":"rf2","unstructured":"J.\u00a0Bak and D. J.\u00a0Newman, Complex Analysis (Springer, Berlin, 1997)\u00a0pp. 130\u2013156."},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1588-2"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-015-6872-2"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.2977\/prims\/1199403807"},{"key":"rf6","volume-title":"Signals & Systems","author":"Oppenheim A. V.","year":"1996"},{"key":"rf7","volume-title":"Signals & Systems","author":"Zheng J. L.","year":"2011"},{"key":"rf8","first-page":"225","volume":"71","author":"Ragazzini J. R.","year":"1952","journal-title":"Trans. Amer. Instit. Electr. Eng., Part II (Applications and Industry)"},{"key":"rf9","volume-title":"Lecture notes on Z transform","author":"Attar R. E.","year":"2005"},{"key":"rf10","unstructured":"D.\u00a0Apurba, Signal Conditioning (Springer, Berlin Heidelberg, 2012)\u00a0pp. 217\u2013242."},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1088\/1742-2132\/9\/2\/218"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1080\/14697688.2010.538074"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1007\/s11082-012-9626-4"},{"key":"rf16","first-page":"1250015-1:12","volume":"21","author":"Salamy H.","year":"2012","journal-title":"J. Comput. Syst. Sci."},{"key":"rf17","first-page":"405","volume":"11","author":"Guo J.-I.","year":"2002","journal-title":"J. Comput. Syst. Sci."},{"key":"rf18","first-page":"269","volume":"3","author":"Kennedy M. P.","year":"1993","journal-title":"J. Comput. Syst. Sci."}],"container-title":["Journal of Circuits, Systems and Computers"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218126615500334","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:51:30Z","timestamp":1565139090000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218126615500334"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,2,10]]},"references-count":16,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2015,2,10]]},"published-print":{"date-parts":[[2015,3]]}},"alternative-id":["10.1142\/S0218126615500334"],"URL":"https:\/\/doi.org\/10.1142\/s0218126615500334","relation":{},"ISSN":["0218-1266","1793-6454"],"issn-type":[{"value":"0218-1266","type":"print"},{"value":"1793-6454","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,2,10]]}}}