{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,7]],"date-time":"2026-03-07T14:17:39Z","timestamp":1772893059307,"version":"3.50.1"},"reference-count":26,"publisher":"Institute of Electronics, Information and Communications Engineers (IEICE)","issue":"11","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEICE Trans. Fundamentals"],"published-print":{"date-parts":[[2021,11,1]]},"DOI":"10.1587\/transfun.2021eap1010","type":"journal-article","created":{"date-parts":[[2021,5,16]],"date-time":"2021-05-16T22:06:42Z","timestamp":1621202802000},"page":"1585-1592","source":"Crossref","is-referenced-by-count":4,"title":["Adaptive Normal State-Space Notch Digital Filters: Algorithm and Frequency-Estimation Bias Analysis"],"prefix":"10.1587","volume":"E104.A","author":[{"given":"Yoichi","family":"HINAMOTO","sequence":"first","affiliation":[{"name":"Department of Electrical and Computer Engineering, NIT Kagawa College"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shotaro","family":"NISHIMURA","sequence":"additional","affiliation":[{"name":"Shimane University"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"532","reference":[{"key":"1","doi-asserted-by":"publisher","unstructured":"[1] J.R. Glover, \u201cAdaptive noise canceling applied to sinusoidal interferences,\u201d IEEE Trans. Acoust., Speech, Signal Process., vol.ASSP-25, no.6, pp.484-491, Dec. 1977. 10.1109\/tassp.1977.1162997","DOI":"10.1109\/TASSP.1977.1162997"},{"key":"2","doi-asserted-by":"publisher","unstructured":"[2] D.V.B. Rao and S.Y. Kung, \u201cAdaptive notch filtering for the retrieval of sinusoidal in noise,\u201d IEEE Trans. Acoust., Speech, Signal Process., vol.ASSP-32, no.4, pp.791-802, Aug. 1984. 10.1109\/tassp.1984.1164398","DOI":"10.1109\/TASSP.1984.1164398"},{"key":"3","doi-asserted-by":"publisher","unstructured":"[3] K. Martin and M.T. Sun, \u201cAdaptive filters suitable for real-time spectral analysis,\u201d IEEE Trans. Circuits Syst., vol.CAS-33, no.2, pp.218-229, Feb. 1986. 10.1109\/tcs.1986.1085882","DOI":"10.1109\/TCS.1986.1085882"},{"key":"4","doi-asserted-by":"crossref","unstructured":"[4] A. Nehoral, \u201cA minimal parameter adaptive notch filter with constrained poles and zeros,\u201d IEEE Trans. Acoust., Speech, Signal Process., vol.33, no.4, pp.983-996, Aug. 1985. 10.1109\/tassp.1985.1164643","DOI":"10.1109\/TASSP.1985.1164643"},{"key":"5","doi-asserted-by":"publisher","unstructured":"[5] T.S. Ng, \u201cSome aspects of an adaptive digital notch filter with constrained poles and zeros,\u201d IEEE Trans. Acoust., Speech, Signal Process., vol.35, no.2, pp.158-161, Feb. 1987. 10.1109\/tassp.1987.1165114","DOI":"10.1109\/TASSP.1987.1165114"},{"key":"6","doi-asserted-by":"publisher","unstructured":"[6] J.M. Travassos-Romano and M. Bellanger, \u201cFast least squares adaptive notch filtering,\u201d IEEE Trans. Acoust., Speech, Signal Process., vol.36, no.9, pp.1536-1540, Sept. 1988. 10.1109\/29.90388","DOI":"10.1109\/29.90388"},{"key":"7","doi-asserted-by":"publisher","unstructured":"[7] J.F. Chicharo and T.S. Ng, \u201cGradient-based adaptive IIR notch filtering for frequency estimation,\u201d IEEE Trans. Acoust., Speech, Signal Process., vol.38, no.5, pp.769-777, May 1990. 10.1109\/29.56021","DOI":"10.1109\/29.56021"},{"key":"8","doi-asserted-by":"publisher","unstructured":"[8] P.A. Regalia, \u201cAn improved lattice-based adaptive IIR notch filter,\u201d IEEE Trans. Signal Process., vol.39, no.9, pp.2124-2128, Sept. 1991. 10.1109\/78.134453","DOI":"10.1109\/78.134453"},{"key":"9","doi-asserted-by":"publisher","unstructured":"[9] S.-C. Pei and C.-C. Tseng, \u201cA novel structure for cascade form adaptive notch filter,\u201d Signal Process., vol.33, no.1, pp.95-110, 1993. 10.1016\/0165-1684(93)90081-k","DOI":"10.1016\/0165-1684(93)90081-K"},{"key":"10","doi-asserted-by":"publisher","unstructured":"[10] N.I. Cho, C.-H. Choi, and S.U. Lee, \u201cAdaptive line enhancement by using an IIR lattice notch filter,\u201d IEEE Trans. Acoust., Sppech, Signal Process., vol.37, no.4, pp.585-589, April 1989. 10.1109\/29.17543","DOI":"10.1109\/29.17543"},{"key":"11","doi-asserted-by":"crossref","unstructured":"[11] T. Kwan and K. Martin, \u201cAdaptive detection and enhancement of multiple sinusoids using a cascade IIR filter,\u201d IEEE Trans. Circuits Syst, vol.36, no.7, pp.937-947, July 1989. 10.1109\/31.31329","DOI":"10.1109\/31.31329"},{"key":"12","doi-asserted-by":"publisher","unstructured":"[12] N.I. Cho and S.U. Lee, \u201cOn the adaptive lattice notch filter for the detection of sinusoids,\u201d IEEE Trans. Circuits Syst.-II, vol.40, no.7, pp.405-416, July 1993. 10.1109\/82.238368","DOI":"10.1109\/82.238368"},{"key":"13","doi-asserted-by":"publisher","unstructured":"[13] M.V. Dragosevic and S.S. Stankovic, \u201cAn adaptive notch filter with improved tracking properties,\u201d IEEE Trans. Signal Process., vol.43, no.9, pp.2068-2078, Sept. 1995. 10.1109\/78.414768","DOI":"10.1109\/78.414768"},{"key":"14","unstructured":"[14] A. Mvuma and S. Nishimura, \u201cSteady-state analysis of a simplified lattice-based adaptive IIR notch filter,\u201d IEICE Trans. Fundamentals, vol.E83-A, no.6, pp.965-972, June 2000."},{"key":"15","doi-asserted-by":"publisher","unstructured":"[15] Y. Xiao, Y. Takeshita, and K. Shida, \u201cSteady-state analysis of a plain gradient algorithm for a second-order adaptive IIR notch filter with constrained poles and zeros,\u201d IEEE Trans. Circuits Syst. II, vol.48, no.7, pp.733-740, July 2001. 10.1109\/82.958344","DOI":"10.1109\/82.958344"},{"key":"16","doi-asserted-by":"publisher","unstructured":"[16] Y.C. Lim, Y.X. Zou, and N. Zheng, \u201cA piloted adaptive notch filter,\u201d IEEE Trans. Signal Process., vol.53, no.4, pp.1310-1323, April 2005. 10.1109\/tsp.2005.843742","DOI":"10.1109\/TSP.2005.843742"},{"key":"17","doi-asserted-by":"publisher","unstructured":"[17] A. Kawamura, Y. Iiguni, and Y. Itoh, \u201cAn adaptive algorithm with variable step-size for parallel notch filter,\u201d IEICE Trans. Fundamentals, vol.E89-A, no.2, pp.511-519, Feb. 2006. 10.1093\/ietfec\/e89-a.2.511","DOI":"10.1093\/ietfec\/e89-a.2.511"},{"key":"18","doi-asserted-by":"publisher","unstructured":"[18] S. Nakamura, S. Koshita, M. Abe, and M. Kawamata, \u201cA new adaptive notch filtering algorithm based on normalized lattice structure with improved mean update term,\u201d IEICE Trans. Fundamentals, vol.E98-A, no.7, pp.1482-1493, July 2015. 10.1587\/transfun.e98.a.1482","DOI":"10.1587\/transfun.E98.A.1482"},{"key":"19","doi-asserted-by":"publisher","unstructured":"[19] D.A. Johns, W.M. Snelgrove, and A.S. Sedra, \u201cAdaptive recursive state-space filters using a gradient-based algorithm,\u201d IEEE Trans. Circuits Syst., vol.37, no.6, pp.673-684, June 1990. 10.1109\/31.55026","DOI":"10.1109\/31.55026"},{"key":"20","doi-asserted-by":"publisher","unstructured":"[20] P.A. Regalia, S.K. Mitra, and P.P. Vaidyanathan, \u201cThe digital all-pass filter: A versatile signal processing building block,\u201d Proc. IEEE, vol.76, no.1, pp.19-37, Jan. 1988. 10.1109\/5.3286","DOI":"10.1109\/5.3286"},{"key":"21","doi-asserted-by":"publisher","unstructured":"[21] Y.V. Joshi and S.C.D. Roy, \u201cDesign of IIR multiple notch filters based on all-pass filters,\u201d IEEE Trans. Circuits Syst. II, vol.46, no.2, pp.134-138, Feb. 1999. 10.1109\/82.752914","DOI":"10.1109\/82.752914"},{"key":"22","doi-asserted-by":"crossref","unstructured":"[22] Y. Hinamoto and S. Nishimura, \u201cAdaptive normal-form state-space notch filters,\u201d Proc. DSP 2018, USB, Shanghai, China, Nov. 2018. 10.1109\/icdsp.2018.8631647","DOI":"10.1109\/ICDSP.2018.8631647"},{"key":"23","doi-asserted-by":"publisher","unstructured":"[23] R.E. Skelton and D.A. Wagie, \u201cMinimal root sensitivity in linear systems,\u201d J. Guidance Contr., vol.7, no.5, pp.570-574, Sept.-Oct. 1984. 10.2514\/3.19896","DOI":"10.2514\/3.19896"},{"key":"24","doi-asserted-by":"crossref","unstructured":"[24] Y. Hinamoto and S. Nishimura, \u201cStability and bias analysis for adaptive normal state-space notch digital filters,\u201d Proc. MWSCAS 2020, pp.166-169, Springfield, MA, Aug. 2020. 10.1109\/mwscas48704.2020.9184650","DOI":"10.1109\/MWSCAS48704.2020.9184650"},{"key":"25","doi-asserted-by":"publisher","unstructured":"[25] T. Aboulnasr and K. Mayyas, \u201cA robust variable step-size LMS-type algorithm: Analysis and simulations,\u201d IEEE Trans. Signal Process., vol.45, no.3, pp.631-639, March 1997. 10.1109\/78.558478","DOI":"10.1109\/78.558478"},{"key":"26","doi-asserted-by":"crossref","unstructured":"[26] Y. Xiao, Y. Ma, and B. Huang, \u201cA simplified variable step-size gradient algorithm for IIR notch filtering: Properties and application,\u201d Proc. 2017 Int. Conf. Advanced Mechatronic Systems, Xiamen, China, Dec. 2017. 10.1109\/icamechs.2017.8316554","DOI":"10.1109\/ICAMechS.2017.8316554"}],"container-title":["IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.jstage.jst.go.jp\/article\/transfun\/E104.A\/11\/E104.A_2021EAP1010\/_pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,11,6]],"date-time":"2021-11-06T03:20:22Z","timestamp":1636168822000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.jstage.jst.go.jp\/article\/transfun\/E104.A\/11\/E104.A_2021EAP1010\/_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,11,1]]},"references-count":26,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2021]]}},"URL":"https:\/\/doi.org\/10.1587\/transfun.2021eap1010","relation":{},"ISSN":["0916-8508","1745-1337"],"issn-type":[{"value":"0916-8508","type":"print"},{"value":"1745-1337","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,11,1]]},"article-number":"2021EAP1010"}}