{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T11:02:48Z","timestamp":1740135768974,"version":"3.37.3"},"reference-count":27,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2024,10,19]],"date-time":"2024-10-19T00:00:00Z","timestamp":1729296000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,10,19]],"date-time":"2024-10-19T00:00:00Z","timestamp":1729296000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62073284"],"award-info":[{"award-number":["62073284"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004731","name":"Natural Science Foundation of Zhejiang Province","doi-asserted-by":"publisher","award":["LY22F020027","62306267"],"award-info":[{"award-number":["LY22F020027","62306267"]}],"id":[{"id":"10.13039\/501100004731","id-type":"DOI","asserted-by":"publisher"}]},{"name":"research on practical teaching reform of Natural Language Processing based on intelligence-driven and school-enterprise cooperation","award":["1J079023012"],"award-info":[{"award-number":["1J079023012"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2025,2]]},"DOI":"10.1007\/s00034-024-02880-2","type":"journal-article","created":{"date-parts":[[2024,10,19]],"date-time":"2024-10-19T18:02:42Z","timestamp":1729360962000},"page":"1260-1273","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Low Roundoff Noise of Two Sparse Second-Order Balanced Realization-Based Structures"],"prefix":"10.1007","volume":"44","author":[{"ORCID":"https:\/\/orcid.org\/0009-0008-6241-7596","authenticated-orcid":false,"given":"Chaogeng","family":"Huang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Haiyan","family":"Wu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yanhong","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Houqi","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Haiyu","family":"Song","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,10,19]]},"reference":[{"issue":"1","key":"2880_CR1","doi-asserted-by":"publisher","first-page":"106","DOI":"10.1109\/TASSP.1985.1164530","volume":"33","author":"BW Bomar","year":"1985","unstructured":"B.W. Bomar, New second-order state-space structures for realizing low roundoff noise digital filters. IEEE Trans. Acoust. Speech Signal Process. 33(1), 106\u2013110 (1985)","journal-title":"IEEE Trans. Acoust. Speech Signal Process."},{"issue":"4","key":"2880_CR2","first-page":"2314","volume":"71","author":"Z Fu","year":"2024","unstructured":"Z. Fu, W. Ye, A new design of low hardware cost and low power programmable FIR filters. IEEE Trans. Circuits Syst. II Exp. Br. 71(4), 2314\u20132318 (2024)","journal-title":"IEEE Trans. Circuits Syst. II Exp. Br."},{"key":"2880_CR3","doi-asserted-by":"publisher","first-page":"1673","DOI":"10.1109\/TSP.2022.3161158","volume":"70","author":"R Garcia","year":"2022","unstructured":"R. Garcia, A. Volkova, M. Kumm, A. Goldsztejn, J. K\u00fchle, Hardware-aware design of multiplierless second-order IIR filters with minimum adders. IEEE Trans. Signal Process. 70, 1673\u20131686 (2022)","journal-title":"IEEE Trans. Signal Process."},{"key":"2880_CR4","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4471-2039-1","volume-title":"Parametrizations in Control, Estimation and Filtering Problems: Accuracy Aspects","author":"M Gevers","year":"1993","unstructured":"M. Gevers, G. Li, Parametrizations in Control, Estimation and Filtering Problems: Accuracy Aspects (Communication and Control Engineering Series (Springer, London, 1993)"},{"key":"2880_CR5","doi-asserted-by":"publisher","first-page":"491","DOI":"10.1109\/TAU.1973.1162522","volume":"AU\u201321","author":"AH Gray Jr","year":"1973","unstructured":"A.H. Gray Jr., J.D. Markrl, Digital lattice and ladder filter synthesis. IEEE Trans. Audio Electroacoust. AU\u201321, 491\u2013500 (1973)","journal-title":"IEEE Trans. Audio Electroacoust."},{"issue":"5","key":"2880_CR6","doi-asserted-by":"publisher","first-page":"486","DOI":"10.1109\/TASSP.1975.1162723","volume":"23","author":"AH Gray Jr","year":"1975","unstructured":"A.H. Gray Jr., J.D. Markrl, Fixed-point implementation algorithms for a class of orthogonal polynomial filter structures. IEEE Trans. Acoust. Speech Signal Process. 23(5), 486\u2013494 (1975)","journal-title":"IEEE Trans. Acoust. Speech Signal Process."},{"issue":"4","key":"2880_CR7","doi-asserted-by":"publisher","first-page":"989","DOI":"10.1016\/j.sigpro.2011.10.011","volume":"92","author":"CG Huang","year":"2012","unstructured":"C.G. Huang, G. Li, Z.X. Xu, A.H. Yu, L.P. Chang, Design of optimal digital lattice filter structures based on genetic algorithm. Signal Process. 92(4), 989\u2013998 (2012)","journal-title":"Signal Process."},{"issue":"8","key":"2880_CR8","doi-asserted-by":"publisher","first-page":"2080","DOI":"10.1109\/TSP.2014.2306182","volume":"62","author":"CG Huang","year":"2014","unstructured":"C.G. Huang, Y.C. Lim, G. Li, A generalized lattice filter for finite wordlength implementation with reduced number of multipliers. IEEE Trans. Signal Process. 62(8), 2080\u20132089 (2014)","journal-title":"IEEE Trans. Signal Process."},{"issue":"11","key":"2880_CR9","doi-asserted-by":"publisher","first-page":"4170","DOI":"10.1007\/s00034-016-0247-1","volume":"35","author":"CG Huang","year":"2016","unstructured":"C.G. Huang, H.Q. Zhang, H. Xu, X.X. He, J. Lin, An improved lattice filter structure with minimum roundoff noise gain. J. Circuits Syst. Signal Process. 35(11), 4170\u20134182 (2016)","journal-title":"J. Circuits Syst. Signal Process."},{"key":"2880_CR10","doi-asserted-by":"publisher","first-page":"273","DOI":"10.1109\/TASSP.1977.1162971","volume":"ASSP25","author":"SY Hwang","year":"1977","unstructured":"S.Y. Hwang, Minimum uncorrelated unit noise in state-space digital filtering. IEEE Trans. Acoust. Speech Signal Process. ASSP25, 273\u2013281 (1977)","journal-title":"IEEE Trans. Acoust. Speech Signal Process."},{"issue":"5","key":"2880_CR11","first-page":"567","volume":"65","author":"M Kumm","year":"2018","unstructured":"M. Kumm, Optimal constant multiplication using integer linear programming. IEEE Trans. Circuits Syst. Exp. II Br. 65(5), 567\u2013571 (2018)","journal-title":"IEEE Trans. Circuits Syst. Exp. II Br."},{"issue":"5","key":"2880_CR12","doi-asserted-by":"publisher","first-page":"365","DOI":"10.1109\/81.139287","volume":"39","author":"G Li","year":"1992","unstructured":"G. Li, B.D.O. Anderson, M. Gevers, J.E. Perkins, Optimal FWL design of state space digital systems with weighted sensitivity minimization and sparseness consideration. IEEE Trans. Circuits Syst. Exp. II Br. 39(5), 365\u2013377 (1992)","journal-title":"IEEE Trans. Circuits Syst. Exp. II Br."},{"issue":"10","key":"2880_CR13","doi-asserted-by":"publisher","first-page":"5108","DOI":"10.1109\/TSP.2007.896111","volume":"55","author":"G Li","year":"2007","unstructured":"G. Li, J. Chu, J. Wu, A matrix factorization-based structure for digital filters. IEEE Trans. Signal Process. 55(10), 5108\u20135112 (2007)","journal-title":"IEEE Trans. Signal Process."},{"issue":"4","key":"2880_CR14","doi-asserted-by":"publisher","first-page":"474","DOI":"10.1109\/81.841849","volume":"47","author":"G Li","year":"2000","unstructured":"G. Li, M. Gevers, Y.X. Sun, Performance analysis of a new structure for digital filter implementation. IEEE Trans. Circuits Syst. I 47(4), 474\u2013482 (2000)","journal-title":"IEEE Trans. Circuits Syst. I"},{"key":"2880_CR15","doi-asserted-by":"crossref","unstructured":"G. Li, C.G. Huang, J. Hua, B. Huang, A novel structure for 2nd order digital filters, in IEEE Asia Pacific Conference on Circuits and Systems (APCCAS), (IEEE, Macao, China, 2008), pp. 874-877","DOI":"10.1109\/APCCAS.2008.4746162"},{"issue":"2","key":"2880_CR16","doi-asserted-by":"publisher","first-page":"679","DOI":"10.1016\/j.sigpro.2009.07.006","volume":"90","author":"G Li","year":"2010","unstructured":"G. Li, C.G. Huang, J.Y. Hua, C.R. Wan, An improved orthogonal digital filter structure. Signal Process. 90(2), 679\u2013683 (2010)","journal-title":"Signal Process."},{"issue":"12","key":"2880_CR17","doi-asserted-by":"publisher","first-page":"6093","DOI":"10.1109\/TSP.2010.2077635","volume":"58","author":"G Li","year":"2010","unstructured":"G. Li, Y.C. Lim, C.G. Huang, Very robust low complexity lattice filters. IEEE Trans. Signal Process. 58(12), 6093\u20136104 (2010)","journal-title":"IEEE Trans. Signal Process."},{"issue":"4","key":"2880_CR18","doi-asserted-by":"publisher","first-page":"769","DOI":"10.1109\/TCSI.2004.823652","volume":"51","author":"G Li","year":"2004","unstructured":"G. Li, Z.X. Zhao, On the generalized DFIIt structure and its state-space realization in digital filter implementation. IEEE Trans. Circuits Syst. I 51(4), 769\u2013778 (2004)","journal-title":"IEEE Trans. Circuits Syst. I"},{"issue":"4","key":"2880_CR19","doi-asserted-by":"publisher","first-page":"741","DOI":"10.1109\/TASSP.1984.1164394","volume":"32","author":"YC Lim","year":"1984","unstructured":"Y.C. Lim, On the synthesis of IIR digital filters derived from single channel AR lattice network. IEEE Trans. Acoust. Speech Signal Process. 32(4), 741\u2013749 (1984)","journal-title":"IEEE Trans. Acoust. Speech Signal Process."},{"key":"2880_CR20","doi-asserted-by":"publisher","first-page":"551","DOI":"10.1109\/TCS.1976.1084254","volume":"23","author":"CT Mullis","year":"1976","unstructured":"C.T. Mullis, R.A. Roberts, Synthesis of minimum roundoff noise fixed-point digital filters. IEEE Trans. Circuits Syst. CAS 23, 551\u2013562 (1976)","journal-title":"IEEE Trans. Circuits Syst. CAS"},{"issue":"7","key":"2880_CR21","doi-asserted-by":"publisher","first-page":"1402","DOI":"10.1109\/TVLSI.2021.3075379","volume":"29","author":"PTL Pereira","year":"2021","unstructured":"P.T.L. Pereira, G. Paim, P.\u00dc.L. da Costa, E.A.C. da Costa, S.J.M. de Almeida, S. Bampi, Architectural exploration for energy-efficient fixed-point Kalman filter VLSI design. IEEE Trans. Very Large Scale Integr. (VLSI) Syst. 29(7), 1402\u20131415 (2021)","journal-title":"IEEE Trans. Very Large Scale Integr. (VLSI) Syst."},{"issue":"4","key":"2880_CR22","first-page":"223","volume":"52","author":"JHF Ritzerfeld","year":"2005","unstructured":"J.H.F. Ritzerfeld, Noise gain expressions for low noise second-order digital filter structures. IEEE Trans. Circuits Syst. II 52(4), 223\u2013227 (2005)","journal-title":"IEEE Trans. Circuits Syst. II"},{"key":"2880_CR23","volume-title":"Digit. Signal Process.","author":"RA Roberts","year":"1987","unstructured":"R.A. Roberts, C.T. Mullis, Digit. Signal Process. (Addison Wesley, Reading, MA, 1987)"},{"key":"2880_CR24","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2023.108958","volume":"208","author":"AK Roonizi","year":"2023","unstructured":"A.K. Roonizi, Kalman filter\/smoother-based design and implementation of digital IIR filter. Signal Process. 208, 108958 (2023)","journal-title":"Signal Process."},{"key":"2880_CR25","doi-asserted-by":"publisher","first-page":"502","DOI":"10.1109\/TCS.1986.1085951","volume":"33","author":"L Thiele","year":"1986","unstructured":"L. Thiele, On the sensitivity of linear state-space systems. IEEE Trans. Circuits Syst. CAS 33, 502\u2013510 (1986)","journal-title":"IEEE Trans. Circuits Syst. CAS"},{"issue":"4","key":"2880_CR26","doi-asserted-by":"crossref","first-page":"425","DOI":"10.1109\/81.917980","volume":"48","author":"N Wong","year":"2001","unstructured":"N. Wong, T.S. Ng, A generalized direct-form delta operator-based IIR filter with minimum noise gain and sensitivity. IEEE Trans. Circuits Syst. II 48(4), 425\u2013431 (2001)","journal-title":"IEEE Trans. Circuits Syst. II"},{"issue":"8","key":"2880_CR27","first-page":"3169","volume":"70","author":"L Zhang","year":"2023","unstructured":"L. Zhang, C. Rao, X. Lou, Low-power reconfigurable FIR filter design based on common operation sharing. IEEE Trans. Circuits Syst. II Exp. Briefs 70(8), 3169\u20133173 (2023)","journal-title":"IEEE Trans. Circuits Syst. II Exp. Briefs"}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-024-02880-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00034-024-02880-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-024-02880-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,2,2]],"date-time":"2025-02-02T21:16:54Z","timestamp":1738531014000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00034-024-02880-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,10,19]]},"references-count":27,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2025,2]]}},"alternative-id":["2880"],"URL":"https:\/\/doi.org\/10.1007\/s00034-024-02880-2","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"type":"print","value":"0278-081X"},{"type":"electronic","value":"1531-5878"}],"subject":[],"published":{"date-parts":[[2024,10,19]]},"assertion":[{"value":"6 July 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"14 September 2024","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 September 2024","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 October 2024","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"No potential Conflict of interest was reported by the author(s).","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}