{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,29]],"date-time":"2022-03-29T04:19:56Z","timestamp":1648527596841},"reference-count":29,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[1991,4,1]],"date-time":"1991-04-01T00:00:00Z","timestamp":670464000000},"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":["Signal Processing"],"published-print":{"date-parts":[[1991,4]]},"DOI":"10.1016\/0165-1684(91)90143-7","type":"journal-article","created":{"date-parts":[[2003,8,8]],"date-time":"2003-08-08T06:11:51Z","timestamp":1060323111000},"page":"45-68","source":"Crossref","is-referenced-by-count":6,"title":["On the reconstruction of signals by a finite number of samples"],"prefix":"10.1016","volume":"23","author":[{"given":"Sigmar","family":"Ries","sequence":"first","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/0165-1684(91)90143-7_BIB1","series-title":"Entire Functions","author":"Boas","year":"1954"},{"key":"10.1016\/0165-1684(91)90143-7_BIB2","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1016\/0022-247X(67)90183-7","article-title":"On the error in reconstructing a non-bandlimited function by means of the bandpass sampling-theorem","volume":"Vol. 18","author":"Brown","year":"1967","journal-title":"J. Math. Anal. Appl."},{"key":"10.1016\/0165-1684(91)90143-7_BIB3","series-title":"Fourier Analysis and Approximation","author":"Butzer","year":"1971"},{"key":"10.1016\/0165-1684(91)90143-7_BIB4","series-title":"Proc. Second Edmonton Conf. on Approximation Theory","first-page":"19","article-title":"The Poisson summation formula, Whittaker's cardinal series and approximate integration","author":"Butzer","year":"1983"},{"key":"10.1016\/0165-1684(91)90143-7_BIB5","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1137\/0146020","article-title":"The Shannon sampling series and the reconstruction of signals in terms of linear, quadratic, and cubic splines","volume":"Vol. 46","author":"Butzer","year":"1986","journal-title":"SIAM J. Appl. Math."},{"key":"10.1016\/0165-1684(91)90143-7_BIB6","doi-asserted-by":"crossref","first-page":"626","DOI":"10.1137\/0116051","article-title":"Sampling theorem for the Fourier transform of a distribution with bounded support","volume":"Vol. 16","author":"Campbell","year":"1968","journal-title":"SIAM J. Appl. Math."},{"issue":"No. 3","key":"10.1016\/0165-1684(91)90143-7_BIB7","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1016\/0165-1684(88)90077-1","article-title":"On the application of an optimal spline sampling theorem","volume":"Vol. 14","author":"Engels","year":"1988","journal-title":"Signal Processing"},{"key":"10.1016\/0165-1684(91)90143-7_BIB8","doi-asserted-by":"crossref","first-page":"727","DOI":"10.1090\/S0025-5718-67-99904-8","article-title":"More on the calculation of the integral In(b)=(2\u03c0)\u222b0\u03b3(sin xx)ncos bx dx,","volume":"Vol. 21","author":"Fettis","year":"1967","journal-title":"Math Comp."},{"key":"10.1016\/0165-1684(91)90143-7_BIB9","series-title":"Proc. of the Conf. on Functional Analysis and Approximation","first-page":"355","article-title":"A bandlimited function simulating a duration-limited one","author":"Gervais","year":"1984"},{"key":"10.1016\/0165-1684(91)90143-7_BIB10","first-page":"181","article-title":"Abtasttheorem mit geringem Abbruchfehler","volume":"Vol. 26","author":"Hagenauer","year":"1972","journal-title":"Arch. Elek. \u00dcbertr."},{"key":"10.1016\/0165-1684(91)90143-7_BIB11","first-page":"5","article-title":"Lineare Interpolation zur Abtastratenwandlung digitaler Fernnsehsignale","volume":"Vol. 9","author":"Herrmann","year":"1989","journal-title":"ntz Archiv."},{"key":"10.1016\/0165-1684(91)90143-7_BIB12","article-title":"Cubic splines for image interpolation and digital filtering","volume":"ASSP-29","author":"Hou","year":"1978","journal-title":"IEEE Trans. Acoust. Speech Signal Process"},{"key":"10.1016\/0165-1684(91)90143-7_BIB13","doi-asserted-by":"crossref","first-page":"714","DOI":"10.1137\/0114060","article-title":"Bounds for truncation error of the sampling expansion","volume":"Vol. 14","author":"Jagerman","year":"1966","journal-title":"SIAM J. Appl. Math."},{"issue":"No. 1","key":"10.1016\/0165-1684(91)90143-7_BIB14","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1016\/0165-1684(83)90035-X","article-title":"Raised cosine function for image restoration","volume":"Vol. 5","author":"Kekre","year":"1983","journal-title":"Signal Processing"},{"key":"10.1016\/0165-1684(91)90143-7_BIB15","article-title":"Cubic convolution interpolation for digital image processing","volume":"Vol. ASSP-29","author":"Keys","year":"1981","journal-title":"IEEE Trans. Acoust. Speech Signal Process"},{"key":"10.1016\/0165-1684(91)90143-7_BIB16","doi-asserted-by":"crossref","first-page":"553","DOI":"10.1137\/0141044","article-title":"A note on the Campbell sampling theorem","volume":"Vol. 41","author":"Lee","year":"1981","journal-title":"SIAM J. Appl. Math."},{"key":"10.1016\/0165-1684(91)90143-7_BIB17","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1145\/378456.378514","article-title":"Reconstruction filters in computer graphics","volume":"Vol. 22","author":"Mitchell","year":"1988","journal-title":"Comput. Grap."},{"key":"10.1016\/0165-1684(91)90143-7_BIB18","series-title":"Vorlesungen \u00fcber Differenzenrechnung","author":"N\u00f6rlund","year":"1925"},{"key":"10.1016\/0165-1684(91)90143-7_BIB19","series-title":"Digital Signal Processing","author":"Oppenheim","year":"1975"},{"key":"10.1016\/0165-1684(91)90143-7_BIB20","doi-asserted-by":"crossref","first-page":"3142","DOI":"10.1364\/AO.21.003142","article-title":"Image sampling reconstruction, and the effect of sample-scene phasing","volume":"Vol. APOPA 21","author":"Park","year":"1982","journal-title":"Appl. Opt."},{"key":"10.1016\/0165-1684(91)90143-7_BIB21","doi-asserted-by":"crossref","first-page":"258","DOI":"10.1016\/0734-189X(83)90026-9","article-title":"Image reconstruction by parametric cubic convolution","volume":"23","author":"Park","year":"1983","journal-title":"Comput. Vision Graph. Image Process"},{"key":"10.1016\/0165-1684(91)90143-7_BIB22","article-title":"Approximation stetiger und unstetiger Funktionen durch verallgemeinerte Abtastreihen","author":"Ries","year":"1984"},{"issue":"No. 2","key":"10.1016\/0165-1684(91)90143-7_BIB23","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1016\/0165-1684(84)90076-8","article-title":"On the approximation by truncated sampling series expansions","volume":"Vol. 7","author":"Ries","year":"1984","journal-title":"Signal Processing"},{"key":"10.1016\/0165-1684(91)90143-7_BIB24","series-title":"Proc. Internat. Conf. on the Theory of Approximation of Functions","first-page":"746","article-title":"Approximation by generalized sampling series","author":"Ries","year":"1984"},{"key":"10.1016\/0165-1684(91)90143-7_BIB25","series-title":"Regional Conference Series in Applied Mathematics","article-title":"Cardinal Spline Interpolation","author":"Schoenberg","year":"1973"},{"key":"10.1016\/0165-1684(91)90143-7_BIB26","series-title":"Approximationstheorie","author":"Sch\u00f6nhage","year":"1971"},{"key":"10.1016\/0165-1684(91)90143-7_BIB27","first-page":"10","article-title":"Communication in the presence of noise","volume":"Vol. 37","author":"Shannon","year":"1949"},{"key":"10.1016\/0165-1684(91)90143-7_BIB28","first-page":"267","article-title":"On general sampling sums based on convolution integrals","volume":"Vol. 32","author":"Splettst\u00f6\u00dfer","year":"1978","journal-title":"Arch. Elek. \u00dcbertr."},{"issue":"No. 3","key":"10.1016\/0165-1684(91)90143-7_BIB29","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1016\/0165-1684(89)90135-7","article-title":"Circuit design of a D\/A converter using spline functions","volume":"Vol. 16","author":"Wang","year":"1989","journal-title":"Signal Processing"}],"container-title":["Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0165168491901437?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0165168491901437?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,15]],"date-time":"2019-03-15T00:26:06Z","timestamp":1552609566000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0165168491901437"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,4]]},"references-count":29,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1991,4]]}},"alternative-id":["0165168491901437"],"URL":"https:\/\/doi.org\/10.1016\/0165-1684(91)90143-7","relation":{},"ISSN":["0165-1684"],"issn-type":[{"value":"0165-1684","type":"print"}],"subject":[],"published":{"date-parts":[[1991,4]]}}}