{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,27]],"date-time":"2026-05-27T20:26:31Z","timestamp":1779913591777,"version":"3.53.1"},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2023,1,2]],"date-time":"2023-01-02T00:00:00Z","timestamp":1672617600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,1,2]],"date-time":"2023-01-02T00:00:00Z","timestamp":1672617600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2023,6]]},"DOI":"10.1007\/s00034-022-02264-4","type":"journal-article","created":{"date-parts":[[2023,1,2]],"date-time":"2023-01-02T20:02:18Z","timestamp":1672689738000},"page":"3385-3411","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Closed Form Approach for Constrained Design of nth-Order IIR Digital Differentiator"],"prefix":"10.1007","volume":"42","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2105-5794","authenticated-orcid":false,"given":"Masayoshi","family":"Nakamoto","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Naoyuki","family":"Aikawa","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2023,1,2]]},"reference":[{"issue":"10","key":"2264_CR1","doi-asserted-by":"publisher","first-page":"5054","DOI":"10.1007\/s00034-021-01710-z","volume":"40","author":"J Ababneh","year":"2021","unstructured":"J. Ababneh, M. Khodier, Design of approximately linear phase low pass IIR digital differentiator using differential evolution optimization algorithm. Circuits Syst. Signal Process. 40(10), 5054\u20135076 (2021). https:\/\/doi.org\/10.1007\/s00034-021-01710-z","journal-title":"Circuits Syst. Signal Process."},{"issue":"2","key":"2264_CR2","doi-asserted-by":"publisher","first-page":"697","DOI":"10.1109\/TSP.2006.885741","volume":"55","author":"M Al-Alaoui","year":"2007","unstructured":"M. Al-Alaoui, Linear phase low-pass IIR digital differentiators. IEEE Trans. Signal Process. 55(2), 697\u2013706 (2007). https:\/\/doi.org\/10.1109\/TSP.2006.885741","journal-title":"IEEE Trans. Signal Process."},{"issue":"3","key":"2264_CR3","doi-asserted-by":"publisher","first-page":"1605","DOI":"10.1109\/TSP.2009.2036471","volume":"58","author":"T Baran","year":"2010","unstructured":"T. Baran, D. Wei, A.V. Oppenheim, Linear programming algorithms for sparse filter design. IEEE Trans. Signal Process. 58(3), 1605\u20131617 (2010). https:\/\/doi.org\/10.1109\/TSP.2009.2036471","journal-title":"IEEE Trans. Signal Process."},{"issue":"11","key":"2264_CR4","doi-asserted-by":"publisher","first-page":"3985","DOI":"10.1109\/TIE.2008.2004384","volume":"55","author":"W Chen","year":"2008","unstructured":"W. Chen, M. Saif, Output feedback controller design for a class of MIMO nonlinear systems using high-order sliding-mode differentiators with application to a laboratory 3-D crane. IEEE Trans. Ind. Electron. 55(11), 3985\u20133997 (2008). https:\/\/doi.org\/10.1109\/TIE.2008.2004384","journal-title":"IEEE Trans. Ind. Electron."},{"issue":"3","key":"2264_CR5","doi-asserted-by":"publisher","first-page":"139","DOI":"10.1109\/TCS.1982.1085123","volume":"CAS\u201329","author":"A Chottera","year":"1982","unstructured":"A. Chottera, G. Jullien, A linear programming approach to recursive digital filter design with linear phase. IEEE Trans. Circuits Syst. CAS\u201329(3), 139\u2013149 (1982). https:\/\/doi.org\/10.1109\/TCS.1982.1085123","journal-title":"IEEE Trans. Circuits Syst."},{"issue":"3","key":"2264_CR6","doi-asserted-by":"publisher","first-page":"1688","DOI":"10.1007\/s00034-019-01211-0","volume":"39","author":"OP Goswami","year":"2020","unstructured":"O.P. Goswami, T.K. Rawat, D.K. Upadhyay, A novel approach for the design of optimum IIR differentiators using fractional interpolation. Circuits Syst. Signal Process. 39(3), 1688\u20131698 (2020). https:\/\/doi.org\/10.1007\/s00034-019-01211-0","journal-title":"Circuits Syst. Signal Process."},{"issue":"5","key":"2264_CR7","doi-asserted-by":"publisher","first-page":"2535","DOI":"10.1007\/s00034-020-01589-2","volume":"40","author":"A Gupta","year":"2021","unstructured":"A. Gupta, S. Kumar, Closed-form analytical formulation for Riemann\u2013Liouville-based fractional-order digital differentiator using fractional sample delay interpolation. Circuits Syst. Signal Process. 40(5), 2535\u20132563 (2021). https:\/\/doi.org\/10.1007\/s00034-020-01589-2","journal-title":"Circuits Syst. Signal Process."},{"key":"2264_CR8","unstructured":"T. Hinamoto, W.-S. Lu, Digital Filter Design and Realization (River Publishers, 2017)"},{"key":"2264_CR9","unstructured":"V.K. Ingle, J.G. Proakis, Digital Signal Processing Using Matlab (Cengage Learning, 2011)"},{"issue":"2","key":"2264_CR10","doi-asserted-by":"publisher","first-page":"680","DOI":"10.1109\/TIE.2010.2046608","volume":"58","author":"M Iqbal","year":"2011","unstructured":"M. Iqbal, A.I. Bhatti, S.I. Ayubi, Q. Khan, Robust parameter estimation of nonlinear systems using sliding-mode differentiator observer. IEEE Trans. Ind. Electron. 58(2), 680\u2013689 (2011). https:\/\/doi.org\/10.1109\/TIE.2010.2046608","journal-title":"IEEE Trans. Ind. Electron."},{"issue":"7","key":"2264_CR11","doi-asserted-by":"publisher","first-page":"1713","DOI":"10.1587\/transfun.E100.A.1513","volume":"E100\u2013A","author":"R Kunii","year":"2017","unstructured":"R. Kunii, T. Yoshida, N. Aikawa, Design method for low-delay maximally flat fir digital differentiators with variable stopbands obtained by minimizing $$L_p$$ norm. IEICE Trans. Fundam. E100\u2013A(7), 1713\u20131721 (2017). https:\/\/doi.org\/10.1587\/transfun.E100.A.1513","journal-title":"IEICE Trans. Fundam."},{"issue":"3","key":"2264_CR12","doi-asserted-by":"publisher","first-page":"226","DOI":"10.1109\/TASSP.1976.1162795","volume":"ASSP\u201324","author":"C Mullis","year":"1976","unstructured":"C. Mullis, R. Roberts, The use of second-order information in the approximation of discrete-time linear systems. IEEE Trans. Acoust. Speech Signal Process. ASSP\u201324(3), 226\u2013238 (1976). https:\/\/doi.org\/10.1109\/TASSP.1976.1162795","journal-title":"IEEE Trans. Acoust. Speech Signal Process."},{"issue":"8","key":"2264_CR13","doi-asserted-by":"publisher","first-page":"1006","DOI":"10.1587\/transfun.2020EAP1096","volume":"E104\u2013A","author":"M Nakamoto","year":"2021","unstructured":"M. Nakamoto, N. Aikawa, Minimax design of sparse IIR filters using sparse linear programming. IEICE Trans. Fundam. E104\u2013A(8), 1006\u20131018 (2021). https:\/\/doi.org\/10.1587\/transfun.2020EAP1096","journal-title":"IEICE Trans. Fundam."},{"issue":"4","key":"2264_CR14","doi-asserted-by":"publisher","first-page":"1359","DOI":"10.1007\/s00034-011-9376-8","volume":"31","author":"M Nakamoto","year":"2012","unstructured":"M. Nakamoto, T. Hinamoto, S. Ohno, Noise reduction in two-dimensional recursive digital filters with discrete optimized error feedback coefficients. Circuits Syst. Signal Process. 31(4), 1359\u20131378 (2012). https:\/\/doi.org\/10.1007\/s00034-011-9376-8","journal-title":"Circuits Syst. Signal Process."},{"issue":"9","key":"2264_CR15","doi-asserted-by":"publisher","first-page":"4857","DOI":"10.1109\/TIE.2013.2290765","volume":"61","author":"M Nakamoto","year":"2014","unstructured":"M. Nakamoto, S. Ohno, Design of multi-band digital filters and full-band digital differentiators without frequency sampling and iterative optimization. IEEE Trans. Ind. Electron. 61(9), 4857\u20134866 (2014). https:\/\/doi.org\/10.1109\/TIE.2013.2290765","journal-title":"IEEE Trans. Ind. Electron."},{"issue":"7","key":"2264_CR16","doi-asserted-by":"publisher","first-page":"1729","DOI":"10.1109\/TSP.2014.2302733","volume":"62","author":"RC Nongpiur","year":"2014","unstructured":"R.C. Nongpiur, D.J. Shpak, A. Antoniou, Design of IIR digital differentiators using constrained optimization. IEEE Trans. Signal Process. 62(7), 1729\u20131739 (2014). https:\/\/doi.org\/10.1109\/TSP.2014.2302733","journal-title":"IEEE Trans. Signal Process."},{"key":"2264_CR17","unstructured":"A.V. Oppenheim, R.W. Schafer, Discrete-Time Signal Processing (Prentice Hall, 2009)"},{"issue":"8","key":"2264_CR18","doi-asserted-by":"publisher","first-page":"1827","DOI":"10.1109\/TCSI.2011.2107270","volume":"58","author":"ZU Sheikh","year":"2011","unstructured":"Z.U. Sheikh, H. Johansson, A class of wide-band linear-phase fir differentiators using a two-rate approach and the frequency-response masking technique. IEEE Trans. Circuits Syst. I 58(8), 1827\u20131839 (2011). https:\/\/doi.org\/10.1109\/TCSI.2011.2107270","journal-title":"IEEE Trans. Circuits Syst. I"},{"issue":"1","key":"2264_CR19","doi-asserted-by":"publisher","first-page":"62","DOI":"10.1109\/TIECI.1975.351222","volume":"IECI\u201322","author":"T Stepinski","year":"1975","unstructured":"T. Stepinski, S. Banka, The differentiator of slowly varying electrical signals. IEEE Trans. Ind. Electron. Cont. Inst. IECI\u201322(1), 62\u201365 (1975). https:\/\/doi.org\/10.1109\/TIECI.1975.351222","journal-title":"IEEE Trans. Ind. Electron. Cont. Inst."},{"key":"2264_CR20","doi-asserted-by":"publisher","unstructured":"S. Valiviita, S.J. Ovaska, Delayless recursive differentiator with efficient noise attenuation for motion control applications, in Proceedings of IEEE Annual Conference of the Industrial Electronics Society (1998), pp. 1481\u20131486. https:\/\/doi.org\/10.1109\/IECON.1998.722870","DOI":"10.1109\/IECON.1998.722870"},{"issue":"4","key":"2264_CR21","doi-asserted-by":"publisher","first-page":"1771","DOI":"10.1007\/s00034-012-9536-5","volume":"32","author":"Y Wang","year":"2013","unstructured":"Y. Wang, New window functions for the design of narrowband lowpass differentiators. Circuits Syst. Signal Process. 32(4), 1771\u20131790 (2013). https:\/\/doi.org\/10.1007\/s00034-012-9536-5","journal-title":"Circuits Syst. Signal Process."},{"issue":"12","key":"2264_CR22","doi-asserted-by":"publisher","first-page":"2611","DOI":"10.1587\/transfun.e97.a.2611","volume":"E97\u2013A","author":"T Yoshida","year":"2014","unstructured":"T. Yoshida, Y. Sugiura, N. Aikawa, A closed-form design of linear phase fir band-pass maximally flat digital differentiators with an arbitrary center frequency. IEICE Trans. Fundam. E97\u2013A(12), 2611\u20132617 (2014). https:\/\/doi.org\/10.1587\/transfun.e97.a.2611","journal-title":"IEICE Trans. Fundam."},{"key":"2264_CR23","doi-asserted-by":"publisher","unstructured":"T. Yoshida, Y. Sugiura, N. Aikawa, A general expression of the low-pass maximally flat fir digital differentiators, in Proceedings of IEEE International Symposium on Circuits and Systems (2015). https:\/\/doi.org\/10.1109\/ISCAS.2015.7169117","DOI":"10.1109\/ISCAS.2015.7169117"}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-022-02264-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00034-022-02264-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-022-02264-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,15]],"date-time":"2023-05-15T12:39:20Z","timestamp":1684154360000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00034-022-02264-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,1,2]]},"references-count":23,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2023,6]]}},"alternative-id":["2264"],"URL":"https:\/\/doi.org\/10.1007\/s00034-022-02264-4","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"value":"0278-081X","type":"print"},{"value":"1531-5878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,1,2]]},"assertion":[{"value":"23 April 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 December 2022","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 December 2022","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 January 2023","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}