{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,3]],"date-time":"2026-03-03T16:24:15Z","timestamp":1772555055081,"version":"3.50.1"},"reference-count":24,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2005,3]]},"abstract":"<jats:p>We examine Kingsbury's dual-tree complex wavelet transform in the frequency domain where it can be formulated for standard wavelet filters without special filter design. We prove that the dual-tree filter bank construction leads to wavelets with vanishing negative frequency parts, present numerical examples illustrating the improvement of translation and rotation invariance for various standard wavelet filters and apply the method to the classification of signals.<\/jats:p>","DOI":"10.1142\/s0219691305000749","type":"journal-article","created":{"date-parts":[[2005,3,21]],"date-time":"2005-03-21T10:47:08Z","timestamp":1111402028000},"page":"43-65","source":"Crossref","is-referenced-by-count":18,"title":["DUAL-TREE COMPLEX WAVELET TRANSFORM IN THE FREQUENCY DOMAIN AND AN APPLICATION TO SIGNAL CLASSIFICATION"],"prefix":"10.1142","volume":"03","author":[{"given":"JULIA","family":"NEUMANN","sequence":"first","affiliation":[{"name":"Department of Mathematics and Computer Science, University of Mannheim, D-68131 Mannheim, Germany"}]},{"given":"GABRIELE","family":"STEIDL","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, University of Mannheim, D-68131 Mannheim, Germany"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf2","first-page":"141","author":"Beylkin G.","journal-title":"Comm. Pure Appl. Math."},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-663-11817-6"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-2544-7_9"},{"key":"rf5","first-page":"712","volume":"32","author":"Coifman R. R.","journal-title":"IEEE Trans. Infor. Theory"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1109\/78.668788"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970104"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1109\/18.382009"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-1684(03)00077-X"},{"key":"rf11","doi-asserted-by":"crossref","unstructured":"M.\u00a0Frigo and S. G.\u00a0Johnson, FFTW: An adaptive software architecture for the FFT, Proc. of the 1998 IEEE Int. Conf. on Acoustics, Speech, and Signal Processing\u00a03 (IEEE Computer Soc., 1998)\u00a0pp. 1381\u20131384.","DOI":"10.1109\/ICASSP.1998.681704"},{"key":"rf12","unstructured":"A.\u00a0Gottscheber and G.\u00a0Steidl, Advances in Multivariate Approximation, eds. W.\u00a0Hau\u00dfmann, K.\u00a0Jetter and M.\u00a0Reimer (Wiley, 1999)\u00a0pp. 175\u2013184."},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.1999.0447"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1006\/acha.2000.0343"},{"key":"rf16","unstructured":"N. G.\u00a0Kingsbury and J. F. A.\u00a0Magarey, Wavelet transforms in image processing, Proc. First European Conference on Signal Analysis and Prediction, eds. A.\u00a0Proch\u00e1zka, J.\u00a0Ulhir and P.\u00a0Sovka (ICT Press, 1997)\u00a0pp. 23\u201334."},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1016\/B978-012466606-1\/50004-0"},{"key":"rf19","series-title":"Signal Processing Series","volume-title":"Discrete-Time Signal Processing","author":"Oppenheim A. V.","year":"1989"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1006\/acha.1995.1001"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1023\/A:1026553619983"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1109\/97.923042"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1109\/18.119725"},{"key":"rf25","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780195094237.003.0002","volume-title":"Wavelets and Filter Banks","author":"Strang G.","year":"1996"},{"key":"rf26","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-0427(02)00557-5"},{"key":"rf27","doi-asserted-by":"publisher","DOI":"10.1109\/83.469936"},{"key":"rf28","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2440-0"},{"key":"rf29","volume-title":"Adapted Wavelet Analysis from Theory to Software","author":"Wickerhauser M. V.","year":"1994"}],"container-title":["International Journal of Wavelets, Multiresolution and Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219691305000749","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,12,27]],"date-time":"2024-12-27T15:44:17Z","timestamp":1735314257000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219691305000749"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,3]]},"references-count":24,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2005,3]]}},"alternative-id":["10.1142\/S0219691305000749"],"URL":"https:\/\/doi.org\/10.1142\/s0219691305000749","relation":{},"ISSN":["0219-6913","1793-690X"],"issn-type":[{"value":"0219-6913","type":"print"},{"value":"1793-690X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,3]]}}}