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Signal reconstruction by random sampling in chirp space |
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| Authors: | Eric Carlen R. Vilela Mendes |
| Affiliation: | (1) Department of Mathematics, Hill Center, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA;(2) IPFN, EURATOM/IST Association, Instituto Superior Técnico, Av. Rovisco Pais 1, 1049-001 Lisboa, Portugal;(3) CMAF, Complexo Interdisciplinar, Universidade de Lisboa, Av. Gama Pinto, 2, 1649-003 Lisboa, Portugal |
| Abstract: | Reconstruction by irregular sampling and sampling at rates below the Nyquist rate are important issues for the experimental characterization of dynamical systems. For the space of functions that can be approximated by chirps, we prove a reconstruction theorem by random sampling at arbitrary rates. |
| Keywords: | Random sampling Chirps |
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