{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T23:34:45Z","timestamp":1648942485543},"reference-count":21,"publisher":"Institute of Electronics, Information and Communications Engineers (IEICE)","issue":"6","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEICE Trans. Inf. &amp; Syst."],"published-print":{"date-parts":[[2016]]},"DOI":"10.1587\/transinf.2016edl8017","type":"journal-article","created":{"date-parts":[[2016,5,31]],"date-time":"2016-05-31T18:12:46Z","timestamp":1464718366000},"page":"1682-1685","source":"Crossref","is-referenced-by-count":2,"title":["Fast Algorithm for Computing Analysis Windows in Real-Valued Discrete Gabor Transform"],"prefix":"10.1587","volume":"E99.D","author":[{"given":"Rui","family":"LI","sequence":"first","affiliation":[{"name":"School of Computer Science and Technology, Anhui University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liang","family":"TAO","sequence":"additional","affiliation":[{"name":"School of Computer Science and Technology, Anhui University"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"532","reference":[{"key":"1","doi-asserted-by":"crossref","unstructured":"[1] D. Gabor, \u201cTheory of communication,\u201d J. Inst. Electr. Eng., vol.93, no.3, pp.429-457, 1946.","DOI":"10.1049\/ji-3-2.1946.0076"},{"key":"2","doi-asserted-by":"crossref","unstructured":"[2] M.J. Bastiaans, \u201cGabor&apos;s expansion of a signal into Gaussian elementary signals,\u201d Opt. Eng., vol.20, no.4, pp.594-598, 1981.","DOI":"10.1117\/12.7972768"},{"key":"3","doi-asserted-by":"crossref","unstructured":"[3] J. Wexler and S. Raz, \u201cDiscrete Gabor expansions,\u201d Signal Process., vol.21, no.3, pp.207-220, 1990.","DOI":"10.1016\/0165-1684(90)90087-F"},{"key":"4","doi-asserted-by":"crossref","unstructured":"[4] S. Qian and D. Chen, \u201cDiscrete Gabor transforms,\u201d IEEE Trans. Signal Process., vol.41, no.7, pp.2429-2438, 1993.","DOI":"10.1109\/78.224251"},{"key":"5","doi-asserted-by":"crossref","unstructured":"[5] S. Qian and D. Chen, \u201cJoint time-frequency analysis,\u201d Signal Processing Magazine, vol.16, no.2, pp.52-67, 1999.","DOI":"10.1109\/79.752051"},{"key":"6","doi-asserted-by":"crossref","unstructured":"[6] S. Qiu, F. Zhou, and P.E. Crandall, \u201cDiscrete Gabor transforms with complexity <i>O<\/i>(<i>N<\/i>log<i>N<\/i>),\u201d Signal Process., vol.77, no.2, pp.159-170, 1999.","DOI":"10.1016\/S0165-1684(99)00030-4"},{"key":"7","doi-asserted-by":"crossref","unstructured":"[7] J.M. Morris and Y. Lu, \u201cDiscrete Gabor expansion of discrete-time signals in <i>l<\/i><sub>2<\/sub>(<i>z<\/i>) via frame theory,\u201d Signal Process., vol.40, no.2, pp.155-181, 1994.","DOI":"10.1016\/0165-1684(94)90065-5"},{"key":"8","doi-asserted-by":"crossref","unstructured":"[8] D.F. Stewart, L.C. Potter, and S.C. Ahalt, \u201cComputationally attractive real Gabor transforms,\u201d IEEE Trans. Signal Process., vol.43, no.1, pp.77-84, 1995.","DOI":"10.1109\/78.365288"},{"key":"9","doi-asserted-by":"crossref","unstructured":"[9] C. Lu, S. Joshi, and J.M. Morris, \u201cParallel lattice structure of block time-recursive generalized Gabor transforms,\u201d Signal Process., vol.57, no.2, pp.195-203, 1997.","DOI":"10.1016\/S0165-1684(96)00195-8"},{"key":"10","doi-asserted-by":"crossref","unstructured":"[10] L. Tao and H.K. Kwan, \u201cBlock time-recursive real-valued discrete Gabor transform implemented by unified parallel lattice structures,\u201d IEICE Trans. Inf. &amp; Syst., vol.E88-D, no.7, pp.1472-1478, 2005.","DOI":"10.1093\/ietisy\/e88-d.7.1472"},{"key":"11","doi-asserted-by":"crossref","unstructured":"[11] L. Tao, G.H. Hu, and H.K. Kwan, \u201cMultiwindow real-valued discrete Gabor transform and its fast algorithms,\u201d IEEE Trans. Signal Process., vol.63, no.20, pp.5513-5524, 2015.","DOI":"10.1109\/TSP.2015.2455526"},{"key":"12","doi-asserted-by":"crossref","unstructured":"[12] B\u00f6lcskei, Helmut, \u201cA necessary and sufficient condition for dual Weyl-Heisenberg frames to be compactly supported,\u201d J. Fourier. Anal. Appl., vol.5, no.5, pp.409-419, 1999.","DOI":"10.1007\/BF01261635"},{"key":"13","doi-asserted-by":"crossref","unstructured":"[13] O. Christensen, \u201cPairs of dual Gabor frame generators with compact support and desired frequency localization,\u201d Appl. Comput. Harmonic. Anal., vol.20, no.3, pp.403-410, 2006.","DOI":"10.1016\/j.acha.2005.10.003"},{"key":"14","doi-asserted-by":"crossref","unstructured":"[14] R.S. Laugesen, \u201cGabor dual spline windows,\u201d Appl. Comput. Harmonic. Anal., vol.27, no.2, pp.180-194, 2009.","DOI":"10.1016\/j.acha.2009.02.002"},{"key":"15","unstructured":"[15] H.G. Feichtinger and T. Strohmer, Gabor analysis and algorithms: Theory and applications, Chapter 8, Springer Science &amp; Business Media, 2012."},{"key":"16","doi-asserted-by":"crossref","unstructured":"[16] P.L. S\u00f8ndergaard, \u201cEfficient algorithms for the discrete Gabor transform with a long FIR window,\u201d J. Fourier. Anal. Appl., vol.18, no.3, pp.456-470, 2012.","DOI":"10.1007\/s00041-011-9210-5"},{"key":"17","doi-asserted-by":"crossref","unstructured":"[17] S. Qian and D. Chen, \u201cOptimal biorthogonal analysis window functions for discrete Gabor transform,\u201d IEEE Trans. Signal Process., vol.42, no.3, pp.694-697, 1994.","DOI":"10.1109\/78.277869"},{"key":"18","unstructured":"[18] S. Qian, Introduction to time-frequency and wavelet transforms, Chapter 3.5, Prentice Hall, 2002."},{"key":"19","doi-asserted-by":"crossref","unstructured":"[19] T. Werther, Y.C. Eldar, and N.K. Subbanna, \u201cDual Gabor frames: theory and computational aspects,\u201d IEEE Trans. Signal Process., vol.53, no.11, pp.4147-4158, 2005.","DOI":"10.1109\/TSP.2005.857049"},{"key":"20","doi-asserted-by":"crossref","unstructured":"[20] R.M. Gray, \u201cToeplitz and circulant matrices: A review,\u201d Communications &amp; Information Theory, vol.2, no.3, pp.155-239, 2005.","DOI":"10.1561\/0100000006"},{"key":"21","doi-asserted-by":"crossref","unstructured":"[21] O. Christensen, \u201cPairs of dual Gabor frame generators with compact support and desired frequency localization,\u201d Appl. Comput. Harmonic. Anal., vol.20, no.3, pp.403-410, 2006.","DOI":"10.1016\/j.acha.2005.10.003"}],"container-title":["IEICE Transactions on Information and Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.jstage.jst.go.jp\/article\/transinf\/E99.D\/6\/E99.D_2016EDL8017\/_pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,8]],"date-time":"2019-09-08T22:54:03Z","timestamp":1567983243000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.jstage.jst.go.jp\/article\/transinf\/E99.D\/6\/E99.D_2016EDL8017\/_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"references-count":21,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2016]]}},"URL":"https:\/\/doi.org\/10.1587\/transinf.2016edl8017","relation":{},"ISSN":["0916-8532","1745-1361"],"issn-type":[{"value":"0916-8532","type":"print"},{"value":"1745-1361","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016]]}}}