{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,2,21]],"date-time":"2023-02-21T12:27:40Z","timestamp":1676982460503},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2014,11,11]],"date-time":"2014-11-11T00:00:00Z","timestamp":1415664000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2015,6]]},"DOI":"10.1007\/s00034-014-9932-0","type":"journal-article","created":{"date-parts":[[2014,11,14]],"date-time":"2014-11-14T14:18:39Z","timestamp":1415974719000},"page":"2053-2064","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Stochastic Formulation of (a,b,c,d)-Bandlimited Signal Reconstruction"],"prefix":"10.1007","volume":"34","author":[{"given":"Daiping","family":"Song","sequence":"first","affiliation":[]},{"given":"Hui","family":"Zhao","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2014,11,11]]},"reference":[{"key":"9932_CR1","doi-asserted-by":"crossref","first-page":"228","DOI":"10.1364\/OL.33.000228","volume":"33","author":"JJ Healy","year":"2008","unstructured":"J.J. Healy, J.T. Sheridan, Cases where the linear canonical transform of a signal has compact support or is band-limited. Opt. Lett. 33, 228\u2013230 (2008)","journal-title":"Opt. Lett."},{"key":"9932_CR2","doi-asserted-by":"crossref","first-page":"641","DOI":"10.1016\/j.sigpro.2008.10.011","volume":"89","author":"JJ Healy","year":"2009","unstructured":"J.J. Healy, J.T. Sheridan, Sampling and discretization of the linear canonical transform. Signal Process. 89, 641\u2013648 (2009)","journal-title":"Signal Process."},{"key":"9932_CR3","doi-asserted-by":"crossref","first-page":"983","DOI":"10.1016\/j.sigpro.2006.09.008","volume":"87","author":"BZ Li","year":"2007","unstructured":"B.Z. Li, R. Tao, Y. Wang, New sampling formulae related to linear canonical transform. Signal Process. 87, 983\u2013990 (2007)","journal-title":"Signal Process."},{"key":"9932_CR4","doi-asserted-by":"crossref","first-page":"1658","DOI":"10.1016\/j.sigpro.2011.12.024","volume":"92","author":"CP Li","year":"2012","unstructured":"C.P. Li, B.Z. Li, T.Z. Xu, Approximating bandlimited signals associated with the LCT domain from nonuniform samples at unknown locations. Signal Process. 92, 1658\u20131664 (2012)","journal-title":"Signal Process."},{"key":"9932_CR5","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1137\/0501006","volume":"1","author":"K Miller","year":"1970","unstructured":"K. Miller, Least squares methods for ill-posed problems with prescribed bound. SIAM J. Math. Anal. 1, 52\u201374 (1970)","journal-title":"SIAM J. Math. Anal."},{"key":"9932_CR6","doi-asserted-by":"crossref","first-page":"1772","DOI":"10.1063\/1.1665805","volume":"12","author":"M Moshinsky","year":"1971","unstructured":"M. Moshinsky, C. Quesne, Linear canonical transformations and their unitary representations. J. Math. Phys. 12, 1772\u20131780 (1971)","journal-title":"J. Math. Phys."},{"key":"9932_CR7","volume-title":"The Fractional Fourier Transform with Applications in Optics and Signal Processing","author":"HM Ozaktas","year":"2001","unstructured":"H.M. Ozaktas, Z. Zalevsky, M.A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley, New York, 2001)"},{"key":"9932_CR8","doi-asserted-by":"crossref","first-page":"1638","DOI":"10.1109\/78.934134","volume":"49","author":"SC Pei","year":"2001","unstructured":"S.C. Pei, J.J. Ding, Relations between fractional operations and time-frequency distributions, and their applications. IEEE Trans. Signal Process. 49, 1638\u20131655 (2001)","journal-title":"IEEE Trans. Signal Process."},{"key":"9932_CR9","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-3863-6","volume-title":"An Introduction to Signal Detection and Estimation","author":"HV Poor","year":"1988","unstructured":"H.V. Poor, An Introduction to Signal Detection and Estimation (Springer, New York, 1988)"},{"key":"9932_CR10","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1007\/s11760-007-0047-y","volume":"2","author":"KK Sharma","year":"2008","unstructured":"K.K. Sharma, S.D. Joshi, Extrapolation of signals using the method of alternating projections in fractional Fourier domains. Proc. SIVIP 2, 177\u2013182 (2008)","journal-title":"Proc. SIVIP"},{"key":"9932_CR11","doi-asserted-by":"crossref","first-page":"583","DOI":"10.1109\/LSP.2011.2163393","volume":"18","author":"KK Sharma","year":"2011","unstructured":"K.K. Sharma, Vector sampling expansions and linear canonical transform. IEEE Signal Process. Lett. 18, 583\u2013586 (2011)","journal-title":"IEEE Signal Process. Lett."},{"key":"9932_CR12","doi-asserted-by":"crossref","first-page":"6041","DOI":"10.1109\/TSP.2012.2210887","volume":"60","author":"J Shi","year":"2012","unstructured":"J. Shi, X. Liu, X. Sha, N. Zhang, Sampling and reconstruction of signals in function spaces associated with linear canonical transform. IEEE Trans. Signal Process. 60, 6041\u20136047 (2012)","journal-title":"IEEE Trans. Signal Process."},{"key":"9932_CR13","doi-asserted-by":"crossref","first-page":"1502","DOI":"10.1109\/TSP.2011.2176338","volume":"60","author":"J Shi","year":"2012","unstructured":"J. Shi, X.J. Sha, Q.Y. Zhang, N.T. Zhang, Extrapolation of bandlimited signals in linear canonical transform domain. IEEE Trans. Signal Process. 60, 1502\u20131508 (2012)","journal-title":"IEEE Trans. Signal Process."},{"key":"9932_CR14","doi-asserted-by":"crossref","first-page":"1421","DOI":"10.1016\/j.sigpro.2005.07.031","volume":"86","author":"A Stern","year":"2006","unstructured":"A. Stern, Sampling of linear canonical transformed signals. Signal Process. 86, 1421\u20131425 (2006)","journal-title":"Signal Process."},{"key":"9932_CR15","doi-asserted-by":"crossref","first-page":"5454","DOI":"10.1109\/TSP.2008.929333","volume":"56","author":"R Tao","year":"2008","unstructured":"R. Tao, B.Z. Li, Y. Wang, G.K. Aggrey, On sampling of band-limited signals associated with the linear canonical transform. IEEE Trans. Signal Process. 56, 5454\u20135464 (2008)","journal-title":"IEEE Trans. Signal Process."},{"key":"9932_CR16","doi-asserted-by":"crossref","unstructured":"D.Y. Wei, Y.M. Li, Reconstruction of multidimensional bandlimited signals from multichannel samples in the linear canonical transform domain. IET Signal Process. 8, 647\u2013657 (2014)","DOI":"10.1049\/iet-spr.2013.0240"},{"key":"9932_CR17","doi-asserted-by":"crossref","first-page":"4307","DOI":"10.1016\/j.optcom.2011.05.010","volume":"284","author":"DY Wei","year":"2011","unstructured":"D.Y. Wei, Q.W. Ran, Y.M. Li, Reconstruction of band-limited signals from multichannel and periodic nonuniform samples in the linear canonical transform domain. Opt. Commun. 284, 4307\u20134315 (2011)","journal-title":"Opt. Commun."},{"key":"9932_CR18","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1016\/j.optcom.2012.12.048","volume":"295","author":"DY Wei","year":"2013","unstructured":"D.Y. Wei, Y.M. Li, Sampling reconstruction of N-dimensional bandlimited images after multilinear filtering in fractional Fourier domain. Opt. Commun. 295, 26\u201335 (2013)","journal-title":"Opt. Commun."},{"key":"9932_CR19","doi-asserted-by":"crossref","first-page":"559","DOI":"10.1109\/78.120799","volume":"40","author":"DJ Wingham","year":"1992","unstructured":"D.J. Wingham, The reconstruction of a band-limited function and its Fourier transform from a finite number of samples at arbitrary locations by singular value decomposition. IEEE Trans. Signal Process. 40, 559\u2013570 (1992)","journal-title":"IEEE Trans. Signal Process."},{"key":"9932_CR20","doi-asserted-by":"crossref","unstructured":"K.B. Wolf, Canonical transforms in Integral Transforms in Science and Engineering (Plenum, New York, 1979, ch. 9)","DOI":"10.1007\/978-1-4757-0872-1"},{"key":"9932_CR21","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1016\/j.optcom.2012.10.040","volume":"290","author":"L Xiao","year":"2013","unstructured":"L. Xiao, W.C. Sun, Sampling theorems for signals periodic in the linear canonical transform domain. Opt. Commun. 290, 14\u201318 (2013)","journal-title":"Opt. Commun."},{"key":"9932_CR22","doi-asserted-by":"crossref","first-page":"1047","DOI":"10.1109\/LSP.2009.2030098","volume":"16","author":"H Zhao","year":"2009","unstructured":"H. Zhao, Q.W. Ran, L.Y. Tan, J. Ma, Reconstruction of bandlimited signals in linear canonical transform domain from finite nonuniformly spaced samples. IEEE Signal Process. Lett. 16, 1047\u20131050 (2009)","journal-title":"IEEE Signal Process. Lett."},{"key":"9932_CR23","doi-asserted-by":"crossref","first-page":"745","DOI":"10.1109\/LSP.2011.2172941","volume":"18","author":"H Zhao","year":"2011","unstructured":"H. Zhao, R.Y. Wang, D.P. Song, D.P. Wu, An extrapolation algorithm for $$(a, b, c, d)$$ ( a , b , c , d ) -bandlimited signals. IEEE Signal Process. Lett. 18, 745\u2013748 (2011)","journal-title":"IEEE Signal Process. Lett."}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-014-9932-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00034-014-9932-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-014-9932-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,22]],"date-time":"2019-05-22T15:01:47Z","timestamp":1558537307000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00034-014-9932-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,11,11]]},"references-count":23,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2015,6]]}},"alternative-id":["9932"],"URL":"https:\/\/doi.org\/10.1007\/s00034-014-9932-0","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"value":"0278-081X","type":"print"},{"value":"1531-5878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,11,11]]}}}