EPFL | Biomedical Imaging Group | Generalized Sampling

A Method for Generalized Sampling and Reconstruction of Finite-Rate-of-Innovation Signals

C.S. Seelamantula, M. Unser

Proceedings of the Eighth International Workshop on Sampling Theory and Applications (SampTA'09), Marseilles, France, May 18-22, 2009, in press.

Please do not bookmark the In Press papers as content and presentation may differ from the published version.

In a few seconds, you should be redirected to the published version. The preprint version is still available here

We address the problem of generalized sampling and reconstruction of finite-rate-of-innovation signals. Specifically, we consider the problem of sampling streams of Dirac impulses and propose a two-channel method that enables fast, local reconstruction under some suitable conditions. We also specify some acquisition kernels and give the associated reconstruction formulas. It turns out that these kernels can also be combined into one kernel, which can be employed in the single-channel sampling scenario. The single-kernel approach carries over all the advantages of the two-channel counterpart. Simulation results are presented to validate the theoretical calculations.

© 2009 SampTA. 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 to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from SampTA. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.