Extension of SoS sampling kernels for 2D FRI problems
Extension of SoS sampling kernels for 2D FRI problems
- Author(s): A. Angierski ; H. Richter ; V. Kuehn ; N. Damaschke
- DOI: 10.1049/el.2012.0690
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- Author(s): A. Angierski 1 ; H. Richter 1 ; V. Kuehn 1 ; N. Damaschke 2
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View affiliations
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Affiliations:
1: Institute of Communications Engineering, University of Rostock, Rostock, Germany
2: Institute of General Electrical Engineering, University of Rostock, Rostock, Germany
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Affiliations:
1: Institute of Communications Engineering, University of Rostock, Rostock, Germany
- Source:
Volume 48, Issue 9,
26 April 2012,
p.
527 – 528
DOI: 10.1049/el.2012.0690 , Print ISSN 0013-5194, Online ISSN 1350-911X
The problem of sampling a 2D Poisson process is considered. Recently, such problems have been denoted as sampling of signals with finite rate of innovation. Therefore, a well-known sampling approach for the 1D approach is extended to the 2D case and the theoretic sampling bounds as well as the reconstruction approach are shown. By providing results from numerical simulations it can be demonstrated that reconstruction is exact up to numerical precision.
Inspec keywords: numerical analysis; stochastic processes; signal sampling; signal reconstruction
Other keywords:
Subjects: Other numerical methods; Other numerical methods; Other topics in statistics; Signal processing theory; Signal processing and detection; Other topics in statistics
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