{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,28]],"date-time":"2022-03-28T23:37:53Z","timestamp":1648510673202},"reference-count":30,"publisher":"Elsevier BV","issue":"2-3","license":[{"start":{"date-parts":[[2002,11,1]],"date-time":"2002-11-01T00:00:00Z","timestamp":1036108800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Applied Mathematics and Computation"],"published-print":{"date-parts":[[2002,11]]},"DOI":"10.1016\/s0096-3003(01)00206-5","type":"journal-article","created":{"date-parts":[[2002,10,11]],"date-time":"2002-10-11T12:03:50Z","timestamp":1034337830000},"page":"455-487","source":"Crossref","is-referenced-by-count":2,"title":["Fast unified computation of the multi-dimensional discrete sinusoidal transforms"],"prefix":"10.1016","volume":"132","author":[{"given":"L.Z.","family":"Cheng","sequence":"first","affiliation":[]},{"given":"Z.","family":"Wang","sequence":"additional","affiliation":[]},{"given":"Z.H.","family":"Zhang","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0096-3003(01)00206-5_BIB1","series-title":"Fundamentals of Digital Processing","author":"Jain","year":"1989"},{"key":"10.1016\/S0096-3003(01)00206-5_BIB2","series-title":"Fast Fourier Transform and Convolution Algorithms","author":"Nussbaumer","year":"1981"},{"key":"10.1016\/S0096-3003(01)00206-5_BIB3","series-title":"Fast Algorithms","author":"Jiang","year":"1994"},{"key":"10.1016\/S0096-3003(01)00206-5_BIB4","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1016\/S0165-1684(99)00088-2","article-title":"The fast generalized discrete Fourier transforms: a unified approach to the discrete sinusoidal transforms computation","volume":"79","author":"Britanak","year":"1999","journal-title":"Signal Process."},{"key":"10.1016\/S0096-3003(01)00206-5_BIB5","doi-asserted-by":"crossref","first-page":"1248","DOI":"10.1109\/78.757237","article-title":"On computing the 2-D FFT","volume":"47","author":"Sevic","year":"1999","journal-title":"IEEE Trans. Signal Process."},{"key":"10.1016\/S0096-3003(01)00206-5_BIB6","doi-asserted-by":"crossref","first-page":"819","DOI":"10.1109\/TC.1979.1675262","article-title":"Properties of the multidimensional generalized discrete Fourier transform","volume":"28","author":"Corsini","year":"1979","journal-title":"IEEE Trans. Comput. C"},{"key":"10.1016\/S0096-3003(01)00206-5_BIB7","doi-asserted-by":"crossref","first-page":"1038","DOI":"10.1109\/78.295213","article-title":"Symmetric convolution and the discrete sine and cosine transforms","volume":"42","author":"Martucci","year":"1994","journal-title":"IEEE Trans. Signal Process."},{"key":"10.1016\/S0096-3003(01)00206-5_BIB8","doi-asserted-by":"crossref","first-page":"1642","DOI":"10.1109\/29.7552","article-title":"In-place butterfly-style FFT of 2-D real sequences","volume":"ASSP-36","author":"Mou","year":"1988","journal-title":"IEEE Trans. Acoust. Speech Signal Process"},{"key":"10.1016\/S0096-3003(01)00206-5_BIB9","doi-asserted-by":"crossref","first-page":"398","DOI":"10.1109\/34.50625","article-title":"A frequency domain algorithm for multiframe deduction and estimation of dim targets","volume":"12","author":"Porat","year":"1990","journal-title":"IEEE Trans. Pattern Anal. Machine Intell."},{"key":"10.1016\/S0096-3003(01)00206-5_BIB10","doi-asserted-by":"crossref","first-page":"803","DOI":"10.1109\/TASSP.1984.1164399","article-title":"Fast algorithms for the discrete W transforms and for the discrete Fourier transform","volume":"ASSP-32","author":"Wang","year":"1984","journal-title":"IEEE Trans. Acoust. Speech Signal Process."},{"key":"10.1016\/S0096-3003(01)00206-5_BIB11","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1016\/0096-3003(85)90008-6","article-title":"The discrete W transform","volume":"16","author":"Wang","year":"1985","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/S0096-3003(01)00206-5_BIB12","first-page":"460","article-title":"The discrete W transform-algorithms and pograms","volume":"18","author":"Wang","year":"1988","journal-title":"Sci. China (Series A)"},{"key":"10.1016\/S0096-3003(01)00206-5_BIB13","doi-asserted-by":"crossref","unstructured":"Special section on the Hartley transform, in: Proc. IEEE, vol. 82, 1994","DOI":"10.1109\/5.272144"},{"key":"10.1016\/S0096-3003(01)00206-5_BIB14","doi-asserted-by":"crossref","first-page":"2931","DOI":"10.1109\/78.175737","article-title":"Generalized discrete Hartely transforms","volume":"40","author":"Hu","year":"1992","journal-title":"IEEE Trans. Signal Process."},{"key":"10.1016\/S0096-3003(01)00206-5_BIB15","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1016\/S0165-1684(98)00217-5","article-title":"Fast algorithms for the 2-D discrete W transform","volume":"74","author":"Bi","year":"1999","journal-title":"Signal Process."},{"key":"10.1016\/S0096-3003(01)00206-5_BIB16","first-page":"1455","article-title":"A new algorithm to compute the discrete cosine transform","volume":"ASSP-35","author":"Lee","year":"1984","journal-title":"IEEE Trans. Accoust. Speech Signal Process."},{"key":"10.1016\/S0096-3003(01)00206-5_BIB17","doi-asserted-by":"crossref","first-page":"2174","DOI":"10.1109\/78.157218","article-title":"Fast algorithm for the discrete cosine transform","volume":"40","author":"Feig","year":"1992","journal-title":"IEEE Trans. Signal Process."},{"key":"10.1016\/S0096-3003(01)00206-5_BIB18","first-page":"9","article-title":"Volume rendering of DCT-based compressed 3-D scalar data","volume":"1","author":"Yeo","year":"1995","journal-title":"IEEE Trans. Visual. Comput. Graphics"},{"key":"10.1016\/S0096-3003(01)00206-5_BIB19","doi-asserted-by":"crossref","first-page":"904","DOI":"10.1109\/78.747801","article-title":"Fast 2-D discrete cosine transform algorithm","volume":"47","author":"Huang","year":"1999","journal-title":"IEEE Trans. Signal Process."},{"key":"10.1016\/S0096-3003(01)00206-5_BIB20","doi-asserted-by":"crossref","first-page":"617","DOI":"10.1109\/82.769810","article-title":"A generalized fast algorithm for n-D discrete cosine transform and its application to motion picture coding","volume":"46","author":"Wang","year":"1999","journal-title":"IEEE Trans. Circuits Systems\u2013II: Analog Digital Signal Process."},{"key":"10.1016\/S0096-3003(01)00206-5_BIB21","author":"Marcellin"},{"key":"10.1016\/S0096-3003(01)00206-5_BIB22","doi-asserted-by":"crossref","first-page":"692","DOI":"10.1109\/76.780358","article-title":"A comparative study of DCT-and wavelet-based image coding","volume":"5","author":"Xiong","year":"1999","journal-title":"IEEE Trans. Circuits Systems Viedo Technol."},{"key":"10.1016\/S0096-3003(01)00206-5_BIB23","series-title":"Signal Processing with Lapped Transforms","author":"Malvar","year":"1992"},{"key":"10.1016\/S0096-3003(01)00206-5_BIB24","doi-asserted-by":"crossref","first-page":"2703","DOI":"10.1109\/78.165657","article-title":"Extended lapped transforms: properties, applications and fast algorithms","volume":"40","author":"Malvar","year":"1992","journal-title":"IEEE Trans. Signal Process."},{"key":"10.1016\/S0096-3003(01)00206-5_BIB25","doi-asserted-by":"crossref","first-page":"564","DOI":"10.1109\/78.740145","article-title":"A class of M-channel linear-phase biorthogonal filter banks and their applications to subband coding","volume":"47","author":"Chan","year":"1999","journal-title":"IEEE Trans. Signal Process."},{"key":"10.1016\/S0096-3003(01)00206-5_BIB26","doi-asserted-by":"crossref","first-page":"1306","DOI":"10.1109\/78.382424","article-title":"Calculation of multidimensional Hartley transform using one-dimensional Fourier transform","volume":"42","author":"Bortfeld","year":"1995","journal-title":"IEEE Trans. Signal Process."},{"key":"10.1016\/S0096-3003(01)00206-5_BIB27","doi-asserted-by":"crossref","first-page":"990","DOI":"10.1049\/el:20000698","article-title":"Multidimensional polynomial transform algorithm for multidimensional DFT","volume":"36","author":"Cheng","year":"2000","journal-title":"Electron. Lett."},{"key":"10.1016\/S0096-3003(01)00206-5_BIB28","doi-asserted-by":"crossref","first-page":"2050","DOI":"10.1109\/78.771054","article-title":"Multidimensional polynomial transform algorithm for multidimensional discrete W transform","volume":"47","author":"Zeng","year":"1999","journal-title":"IEEE Trans. Signal Process."},{"key":"10.1016\/S0096-3003(01)00206-5_BIB29","first-page":"73","article-title":"Fast W transform based on preconditioner for symmetric Toeplitz systems","volume":"22","author":"Cheng","year":"2000","journal-title":"Math. Numer. Sinica"},{"key":"10.1016\/S0096-3003(01)00206-5_BIB30","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1137\/S0036144594276474","article-title":"Conjugate gradient methods for Toeplitz systems","volume":"38","author":"Chen","year":"1996","journal-title":"SIAM Rev."}],"container-title":["Applied Mathematics and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300301002065?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300301002065?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,1,8]],"date-time":"2020-01-08T22:30:43Z","timestamp":1578522643000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0096300301002065"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,11]]},"references-count":30,"journal-issue":{"issue":"2-3","published-print":{"date-parts":[[2002,11]]}},"alternative-id":["S0096300301002065"],"URL":"https:\/\/doi.org\/10.1016\/s0096-3003(01)00206-5","relation":{},"ISSN":["0096-3003"],"issn-type":[{"value":"0096-3003","type":"print"}],"subject":[],"published":{"date-parts":[[2002,11]]}}}