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Approximate reconstruction of bandlimited functions for the integrate and fire sampler |
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| Authors: | Hans G Feichtinger José C Príncipe José Luis Romero Alexander Singh Alvarado Gino Angelo Velasco |
| Institution: | 1. Faculty of Mathematics, University of Vienna, Nordbergstrasse 15, 1090, Vienna, Austria 2. Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL, 32611, USA 3. Departamento de Matem??tica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabell??n I, 1428, Capital Federal, Argentina 4. CONICET, Buenos Aires, Argentina 5. Institute of Mathematics, University of the Philippines, Diliman, Quezon City, Philippines |
| Abstract: | In this paper we study the reconstruction of a bandlimited signal from samples generated by the integrate and fire model. This sampler allows us to trade complexity in the reconstruction algorithms for simple hardware implementations, and is specially convenient in situations where the sampling device is limited in terms of power, area and bandwidth. Although perfect reconstruction for this sampler is impossible, we give a general approximate reconstruction procedure and bound the corresponding error. We also show the performance of the proposed algorithm through numerical simulations. |
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