{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,8]],"date-time":"2024-07-08T23:15:26Z","timestamp":1720480526045},"reference-count":29,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2012,4,18]],"date-time":"2012-04-18T00:00:00Z","timestamp":1334707200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2012,10]]},"DOI":"10.1007\/s00034-012-9412-3","type":"journal-article","created":{"date-parts":[[2012,4,17]],"date-time":"2012-04-17T11:11:16Z","timestamp":1334661076000},"page":"1847-1861","source":"Crossref","is-referenced-by-count":6,"title":["Four-Channel Tight Wavelet Frames Design Using Bernstein Polynomial"],"prefix":"10.1007","volume":"31","author":[{"given":"Ping","family":"Zhao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chun","family":"Zhao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2012,4,18]]},"reference":[{"key":"9412_CR1","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1109\/TSP.2004.838959","volume":"53","author":"A.F. Abdelnour","year":"2005","unstructured":"A.F. Abdelnour, I.W. Selesnick, Symmetric nearly shift-invariant tight frame wavelets. IEEE Trans. Signal Process. 53, 231\u2013239 (2005)","journal-title":"IEEE Trans. Signal Process."},{"key":"9412_CR2","doi-asserted-by":"crossref","first-page":"168","DOI":"10.1109\/TCS.1975.1084021","volume":"CAS-22","author":"L.T. Bruton","year":"1975","unstructured":"L.T. Bruton, Low-sensitivity digital ladder filters. IEEE Trans. Circuits Syst. CAS-22, 168\u2013176 (1975)","journal-title":"IEEE Trans. Circuits Syst."},{"key":"9412_CR3","doi-asserted-by":"crossref","first-page":"2314","DOI":"10.1109\/78.224242","volume":"41","author":"H. Caglar","year":"1993","unstructured":"H. Caglar, A.N. Akansu, A generalized parametric PR-QMF design technique based on Bernstein polynomial approximation. IEEE Trans. Signal Process. 41, 2314\u20132321 (1993)","journal-title":"IEEE Trans. Signal Process."},{"key":"9412_CR4","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1109\/TSP.2009.2028962","volume":"58","author":"K.N. Chaudhury","year":"2010","unstructured":"K.N. Chaudhury, M. Unser, On the shiftability of dual-tree complex wavelet transforms. IEEE Trans. Signal Process. 58, 221\u2013232 (2010)","journal-title":"IEEE Trans. Signal Process."},{"key":"9412_CR5","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1006\/acha.2000.0301","volume":"8","author":"C.K. Chui","year":"2000","unstructured":"C.K. Chui, W. He, Compactly supported tight frames associated with refinable functions. Appl. Comput. Harmon. Anal. 8, 293\u2013319 (2000)","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"9412_CR6","doi-asserted-by":"crossref","first-page":"224","DOI":"10.1016\/S1063-5203(02)00510-9","volume":"13","author":"C.K. Chui","year":"2002","unstructured":"C.K. Chui, W. He, J. St\u00f6ckler, Compactly supported tight and sibling frames with maximum vanishing moments. Appl. Comput. Harmon. Anal. 13, 224\u2013262 (2002)","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"9412_CR7","series-title":"CBMS-NSF Regional Conference Series in Applied Mathematics","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970104","volume-title":"Ten Lectures on Wavelets","author":"I. Daubechies","year":"1992","unstructured":"I. Daubechies, Ten Lectures on Wavelets, CBMS-NSF Regional Conference Series in Applied Mathematics, vol. 61 (SIAM, Philadelphia, 1992)"},{"key":"9412_CR8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S1063-5203(02)00511-0","volume":"14","author":"I. Daubechies","year":"2003","unstructured":"I. Daubechies, B. Han, A. Ron, Z.W. Shen, Framelets: MRA-based constructions of wavelet frames. Appl. Comput. Harmon. Anal. 14, 1\u201346 (2003)","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"9412_CR9","volume-title":"Interpolation and Approximation","author":"P.J. Davis","year":"1963","unstructured":"P.J. Davis, Interpolation and Approximation (Ginn-Blaisdell, Waltham, 1963)"},{"key":"9412_CR10","volume-title":"Digital Processing of Signals","author":"B. Gold","year":"1965","unstructured":"B. Gold, C.M. Rader, Digital Processing of Signals (Lincoln Lab, Massachusetts Institute of Technology, Boston, 1965), p.\u00a095"},{"key":"9412_CR11","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1023\/A:1018948314471","volume":"8","author":"B. Han","year":"1998","unstructured":"B. Han, Symmetric orthonormal scaling functions and wavelets with dilation factor 4. Adv. Comput. Math. 8, 221\u2013247 (1998)","journal-title":"Adv. Comput. Math."},{"key":"9412_CR12","doi-asserted-by":"crossref","first-page":"684","DOI":"10.1007\/s00041-009-9084-y","volume":"15","author":"B. Han","year":"2009","unstructured":"B. Han, Matrix extension with symmetry and applications to symmetric orthonormal complex M-wavelets. J. Fourier Anal. Appl. 15, 684\u2013705 (2009)","journal-title":"J. Fourier Anal. Appl."},{"key":"9412_CR13","doi-asserted-by":"crossref","first-page":"422","DOI":"10.1016\/j.acha.2008.10.005","volume":"26","author":"B. Han","year":"2009","unstructured":"B. Han, Compactly supported orthonormal complex wavelets with dilation 4 and symmetry. Appl. Comput. Harmon. Anal. 26, 422\u2013431 (2009)","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"9412_CR14","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1090\/S0002-9939-03-07205-8","volume":"132","author":"B. Han","year":"2004","unstructured":"B. Han, Q. Mo, Tight wavelet frames generated by three symmetric B-spline functions with high vanishing moments. Proc. Am. Math. Soc. 132, 77\u201386 (2004)","journal-title":"Proc. Am. Math. Soc."},{"key":"9412_CR15","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1016\/j.acha.2004.09.001","volume":"18","author":"B. Han","year":"2005","unstructured":"B. Han, Q. Mo, Symmetric MRA tight wavelet frames with three generators and high vanishing moments. Appl. Comput. Harmon. Anal. 18, 67\u201393 (2005)","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"9412_CR16","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1023\/A:1021339707805","volume":"18","author":"Q.T. Jiang","year":"2003","unstructured":"Q.T. Jiang, Parameterizations of masks for tight affine frames with two symmetric\/antisymmetric generators. Adv. Comput. Math. 18, 247\u2013268 (2003)","journal-title":"Adv. Comput. Math."},{"key":"9412_CR17","doi-asserted-by":"crossref","first-page":"234","DOI":"10.1006\/acha.2000.0343","volume":"10","author":"N. Kingsbury","year":"2001","unstructured":"N. Kingsbury, Complex wavelets for shift invariant analysis and filtering of signals. Appl. Comput. Harmon. Anal. 10, 234\u2013253 (2001)","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"9412_CR18","doi-asserted-by":"crossref","first-page":"999","DOI":"10.1137\/S003614109528815X","volume":"28","author":"W. Lawton","year":"1997","unstructured":"W. Lawton, S.L. Lee, Z.W. Shen, Stability and orthonormality of multivariate refinable functions. SIAM J. Math. Anal. 28, 999\u20131014 (1997)","journal-title":"SIAM J. Math. Anal."},{"key":"9412_CR19","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1006\/acha.2000.0337","volume":"11","author":"A. Petukhov","year":"2001","unstructured":"A. Petukhov, Explicit construction of framelets. Appl. Comput. Harmon. Anal. 11, 313\u2013327 (2001)","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"9412_CR20","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1007\/s00365-002-0522-1","volume":"19","author":"A. Petukhov","year":"2003","unstructured":"A. Petukhov, Symmetric framelets. Constr. Approx. 19, 309\u2013328 (2003)","journal-title":"Constr. Approx."},{"key":"9412_CR21","doi-asserted-by":"crossref","first-page":"1587","DOI":"10.1109\/TCS.1987.1086077","volume":"34","author":"L.R. Rajagopal","year":"1987","unstructured":"L.R. Rajagopal, S.C. Dutta Roy, Design of maximally flat FIR filters using the Bernstein polynomial. IEEE Trans. Circuits Syst. 34, 1587\u20131590 (1987)","journal-title":"IEEE Trans. Circuits Syst."},{"key":"9412_CR22","doi-asserted-by":"crossref","first-page":"408","DOI":"10.1006\/jfan.1996.3079","volume":"148","author":"A. Ron","year":"1997","unstructured":"A. Ron, Z.W. Shen, Affine systems in L 2(R d ): the analysis of the analysis operator. J. Funct. Anal. 148, 408\u2013447 (1997)","journal-title":"J. Funct. Anal."},{"key":"9412_CR23","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1006\/acha.2000.0332","volume":"10","author":"I.W. Selesnick","year":"2000","unstructured":"I.W. Selesnick, Smooth wavelet tight frames with zero moments. Appl. Comput. Harmon. Anal. 10, 163\u2013181 (2000)","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"9412_CR24","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1016\/j.acha.2004.05.003","volume":"17","author":"I.W. Selesnick","year":"2004","unstructured":"I.W. Selesnick, A.F. Abdelnour, Symmetric wavelet frames with two generators. Appl. Comput. Harmon. Anal. 17, 211\u2013225 (2004)","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"9412_CR25","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1109\/MSP.2005.1550194","volume":"22","author":"I.W. Selesnick","year":"2005","unstructured":"I.W. Selesnick, R.G. Baraniuk, N.G. Kingsbury, The dual-tree complex wavelet transform. IEEE Signal Process. Mag. 22, 123\u2013151 (2005)","journal-title":"IEEE Signal Process. Mag."},{"key":"9412_CR26","doi-asserted-by":"crossref","first-page":"835","DOI":"10.1109\/LSP.2005.859511","volume":"12","author":"D.B.H. Tay","year":"2005","unstructured":"D.B.H. Tay, Zero-pinning the Bernstein polynomial: a simple design technique for orthonormal wavelets. IEEE Signal Process. Lett. 12, 835\u2013838 (2005)","journal-title":"IEEE Signal Process. Lett."},{"key":"9412_CR27","doi-asserted-by":"crossref","first-page":"1580","DOI":"10.1109\/TCSI.2008.916706","volume":"55","author":"D.B.H. Tay","year":"2008","unstructured":"D.B.H. Tay, ETHFB: a new class of even-length biorthogonal wavelet filters for Hilbert pair design. IEEE Trans. Circuits Syst. I 55, 1580\u20131588 (2008)","journal-title":"IEEE Trans. Circuits Syst. I"},{"key":"9412_CR28","doi-asserted-by":"crossref","first-page":"866","DOI":"10.1016\/j.sigpro.2009.09.006","volume":"90","author":"D.B.H. Tay","year":"2010","unstructured":"D.B.H. Tay, Design of orthonormal Hilbert-pair of wavelets using zero-pinning. Signal Process. 90, 866\u2013873 (2010)","journal-title":"Signal Process."},{"key":"9412_CR29","doi-asserted-by":"crossref","first-page":"663","DOI":"10.1016\/j.cnsns.2004.05.004","volume":"11","author":"H. Wang","year":"2006","unstructured":"H. Wang, L. Peng, Parameterizations of univariate wavelet tight frames with short support. Commun. Nonlinear Sci. Numer. Simul. 11, 663\u2013677 (2006)","journal-title":"Commun. Nonlinear Sci. Numer. Simul."}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-012-9412-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00034-012-9412-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-012-9412-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,22]],"date-time":"2019-05-22T11:01:36Z","timestamp":1558522896000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00034-012-9412-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,4,18]]},"references-count":29,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2012,10]]}},"alternative-id":["9412"],"URL":"https:\/\/doi.org\/10.1007\/s00034-012-9412-3","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"value":"0278-081X","type":"print"},{"value":"1531-5878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,4,18]]}}}