Error Estimates from Noise Samples for Iterative Algorithm in Shift-Invariant Signal Spaces
We consider error estimates of iterative algorithm in shift-invariant signal spaces. For the classical sampling and reconstruction algorithm, error estimate from its samples corrupted by white noises are widely studied, but the error analysis of noise with time jitter and iterative noise has not bee...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/214213 |
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| _version_ | 1832552449442840576 |
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| author | Jun Xian |
| author_facet | Jun Xian |
| author_sort | Jun Xian |
| collection | DOAJ |
| description | We consider error estimates of iterative algorithm in
shift-invariant signal spaces. For the classical sampling and reconstruction algorithm,
error estimate from its samples corrupted by white noises are widely studied,
but the error analysis of noise with time jitter and iterative noise has not been
given as much attention. In this paper, three types of error estimates are studied.
In detail, we obtain the error estimate for reconstructing a signal from its noise
samples, noise samples with time jitter, and iterative noise. |
| format | Article |
| id | doaj-art-9f4fe4222d56431ca9daa1a4c811f4e9 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9f4fe4222d56431ca9daa1a4c811f4e92025-02-03T05:58:43ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/214213214213Error Estimates from Noise Samples for Iterative Algorithm in Shift-Invariant Signal SpacesJun Xian0Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, ChinaWe consider error estimates of iterative algorithm in shift-invariant signal spaces. For the classical sampling and reconstruction algorithm, error estimate from its samples corrupted by white noises are widely studied, but the error analysis of noise with time jitter and iterative noise has not been given as much attention. In this paper, three types of error estimates are studied. In detail, we obtain the error estimate for reconstructing a signal from its noise samples, noise samples with time jitter, and iterative noise.http://dx.doi.org/10.1155/2010/214213 |
| spellingShingle | Jun Xian Error Estimates from Noise Samples for Iterative Algorithm in Shift-Invariant Signal Spaces Abstract and Applied Analysis |
| title | Error Estimates from Noise Samples for Iterative Algorithm in Shift-Invariant Signal Spaces |
| title_full | Error Estimates from Noise Samples for Iterative Algorithm in Shift-Invariant Signal Spaces |
| title_fullStr | Error Estimates from Noise Samples for Iterative Algorithm in Shift-Invariant Signal Spaces |
| title_full_unstemmed | Error Estimates from Noise Samples for Iterative Algorithm in Shift-Invariant Signal Spaces |
| title_short | Error Estimates from Noise Samples for Iterative Algorithm in Shift-Invariant Signal Spaces |
| title_sort | error estimates from noise samples for iterative algorithm in shift invariant signal spaces |
| url | http://dx.doi.org/10.1155/2010/214213 |
| work_keys_str_mv | AT junxian errorestimatesfromnoisesamplesforiterativealgorithminshiftinvariantsignalspaces |