Postfiltering versus prefiltering for signal recovery from noisy samples

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dc.contributor.authorPawlak, M
dc.contributor.authorRafajlowicz, E
dc.contributor.authorKrzyzak, A
dc.date.accessioned2007-09-07T19:03:26Z
dc.date.available2007-09-07T19:03:26Z
dc.date.issued2003-12-31T19:03:26Z
dc.description.abstractWe consider the extension of the Whittaker-Shannon (WS) reconstruction formula to the case of signals sampled in the presence of noise and which are not necessarily band limited. Observing that in this situation the classical sampling expansion yields inconsistent reconstruction, we introduce a class of signal recovery methods with a smooth correction of the interpolation series. Two alternative data smoothing methods are examined based either on a global postfiltering or a local data presmoothing. We assess the accuracy of the methods by the global L-2 error. Both band-limited and non-band-limited signals are considered. A general class of correlated noise processes is taken into account. The weak and strong rates of convergence of the algorithms are established and their relative efficiency is discussed. The influence of noise memory and its moment structure on the accuracy is thoroughly examined.en
dc.format.extent1264711 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.citation0018-9448; IEEE TRANS INFORM THEORY, DEC 2003, vol. 49, no. 12, p.3195 to 3212.en
dc.identifier.doihttp://dx.doi.org/10.1109/TIT.2003.820013
dc.identifier.urihttp://hdl.handle.net/1993/2791
dc.language.isoengen_US
dc.rights©2003 IEEE. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Manitoba's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.en
dc.rightsrestricted accessen_US
dc.statusPeer revieweden
dc.subjectband-limited signalsen
dc.subjectnon-band-limited signalsen
dc.subjectpostfilteringen
dc.subjectprefilteringen
dc.subjectrate of convergenceen
dc.subjectsignal recoveryen
dc.subjectstrong convergenceen
dc.subjectWhittaker-Shannon (WS) sampling theoremen
dc.subjectBAND-LIMITED SIGNALSen
dc.subjectFOURIER-ANALYSISen
dc.subjectAPPROXIMATIONSen
dc.subjectTHEOREMen
dc.subjectERRORen
dc.titlePostfiltering versus prefiltering for signal recovery from noisy samplesen
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