| Paper: | SS-8.4 | ||
| Session: | Innovations in Sampling Theory and Applications | ||
| Time: | Thursday, May 20, 14:00 - 14:20 | ||
| Presentation: | Special Session Lecture | ||
| Topic: | Special Sessions: Innovations in Sampling Theory and Applications | ||
| Title: | SIGNAL SAMPLING AND RECOVERY WITH LONG-RANGE DEPENDENT ERRORS | ||
| Authors: | Mirek Pawlak; University of Manitoba | ||
| Abstract: | We consider the extension of the Whittaker-Shannon interpolation reconstruction formula to the case of band-limited signals observed in the presence of correlated noise. Observing that in this situation the classical sampling expansion gives inconsistent reconstruction we apply the post-filtering strategy yielding a smooth correction of the interpolation series. We assess the accuracy of the method by the global mean integrated squared error. A large class of dependent noise processes is taken into account. This includes short and long memory errors. Whereas the short memory errors have relatively small influence on the reconstruction accuracy, the long-memory errors can dramatically slow down the convergence rate. We explain this phenomenom by evaluating the speed at which the reconstruction error tends to zero. | ||
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