{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T15:24:48Z","timestamp":1777389888418,"version":"3.51.4"},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2011,9,22]],"date-time":"2011-09-22T00:00:00Z","timestamp":1316649600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[2012,1]]},"DOI":"10.1007\/s10444-011-9180-9","type":"journal-article","created":{"date-parts":[[2011,9,21]],"date-time":"2011-09-21T14:20:24Z","timestamp":1316614824000},"page":"67-78","source":"Crossref","is-referenced-by-count":50,"title":["Approximate reconstruction of bandlimited functions for the integrate and fire sampler"],"prefix":"10.1007","volume":"36","author":[{"given":"Hans G.","family":"Feichtinger","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jos\u00e9 C.","family":"Pr\u00edncipe","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jos\u00e9 Luis","family":"Romero","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexander","family":"Singh Alvarado","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gino Angelo","family":"Velasco","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2011,9,22]]},"reference":[{"issue":"2","key":"9180_CR1","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1016\/S1063-5203(02)00503-1","volume":"13","author":"A Aldroubi","year":"2002","unstructured":"Aldroubi, A.: Non-uniform weighted average sampling and reconstruction in shift-invariant and wavelet spaces. Appl. Comput. Harmon. Anal. 13(2), 151\u2013161 (2002)","journal-title":"Appl. Comput. Harmon. Anal."},{"issue":"4","key":"9180_CR2","doi-asserted-by":"crossref","first-page":"585","DOI":"10.1137\/S0036144501386986","volume":"43","author":"A Aldroubi","year":"2001","unstructured":"Aldroubi, A., Gr\u00f6chenig, K.: Nonuniform sampling and reconstruction in shift-invariant spaces. SIAM Rev. 43(4), 585\u2013620 (2001)","journal-title":"SIAM Rev."},{"key":"9180_CR3","doi-asserted-by":"crossref","unstructured":"Alvarado, A., Principe, J., Harris, J.: Stimulus reconstruction from the biphasic integrate-and-fire sampler. In: 4th International IEEE\/EMBS Conference on Neural Engineering, NER \u201909, pp. 415\u2013418 (2009). doi: 10.1109\/NER.2009.5109321","DOI":"10.1109\/NER.2009.5109321"},{"key":"9180_CR4","doi-asserted-by":"crossref","unstructured":"Chen, D., Li, Y., Xu, D., Harris, J., Principe, J.: Asynchronous biphasic pulse signal coding and its cmos realization. In: Proceedings of IEEE International Symposium on Circuits and Systems, ISCAS 2006, pp. 2293\u20132296 (2006). doi: 10.1109\/ISCAS.2006.1693079","DOI":"10.1109\/ISCAS.2006.1693079"},{"key":"9180_CR5","unstructured":"Feichtinger, H.G.: Banach convolution algebras of Wiener type. In: B. Sz. Nagy, J. Szabados (eds.) Proc. Conf. on Functions, Series, Operators, Budapest 1980, Colloq. Math. Soc. Janos Bolyai, vol. 35, pp. 509\u2013524. North-Holland, Amsterdam (1983)"},{"key":"9180_CR6","doi-asserted-by":"crossref","unstructured":"Feichtinger, H.G.: Wiener amalgams over Euclidean spaces and some of their applications. In: K.\u00a0Jarosz (ed.) Function Spaces, Proc Conf, Edwardsville\/IL (USA) 1990, Lect. N otes Pure A ppl. Math., vol. 136, pp. 123\u2013137. Marcel Dekker, New York (1992)","DOI":"10.1201\/9781003066804-13"},{"key":"9180_CR7","first-page":"305","volume-title":"Wavelets: Mathematics and Applications, Studies in Advanced Mathematics","author":"HG Feichtinger","year":"1994","unstructured":"Feichtinger, H.G., Gr\u00f6chenig, K.: Theory and practice of irregular sampling. In: Benedetto, J., Frazier, M. (eds.) Wavelets: Mathematics and Applications, Studies in Advanced Mathematics, pp. 305\u2013363. CRC Press, Boca Raton, FL (1994)"},{"key":"9180_CR8","doi-asserted-by":"crossref","unstructured":"Gerstner, W., Kistler, W.: Spiking Neuron Models. Cambridge University Press (2002)","DOI":"10.1017\/CBO9780511815706"},{"key":"9180_CR9","first-page":"1111","volume":"2009","author":"AA Lazar","year":"2009","unstructured":"Lazar, A.A., Pnevmatikakis, E.A.: Reconstruction of sensory stimuli encoded with integrate-and-fire neurons with random thresholds. EURASTP J. Appl. Signal Process. 2009 (2009). doi: 10.1155\/2009\/682930","journal-title":"EURASTP J. Appl. Signal Process."},{"key":"9180_CR10","unstructured":"Lazar, A.A., Simonyi, E.K., Toth, L.T.: A Toeplitz formulation of a real-time algorithm for time decoding machines. In: Proceedings of the Conference on Telecommunication Systems, Modeling and Analysis (2005)"},{"key":"9180_CR11","doi-asserted-by":"crossref","unstructured":"Lazar, A.A., Toth, L.T.: Time encoding and perfect recovery of bandlimited signals. In: IEEE International Conference on Acoustics, Speech and Signal Processing, vol. 6, pp. VI709\u2013712 (2003). doi: 10.1109\/ICASSP.2003.1201780","DOI":"10.1109\/ICASSP.2003.1201780"},{"key":"9180_CR12","unstructured":"Rieke, F., Warland, D., de Ruyter, Bialek, W.: Spikes: Exploring the Neural Code. The MIT Press (1997)"},{"issue":"1","key":"9180_CR13","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1109\/MSP.2008.4408440","volume":"25","author":"JC Sanchez","year":"2008","unstructured":"Sanchez, J.C., Principe, J.C., Nishida, T., Bashirullah, R., Harris, J.G., Fortes, J.A.B.: Technology and signal processing for brain-machine interfaces. IEEE Signal Process. Mag. 25(1), 29\u201340 (2008)","journal-title":"IEEE Signal Process. Mag."},{"key":"9180_CR14","unstructured":"Schwab, H.: Reconstruction from averages. Ph.D. thesis, Dept. Mathematics, Univ. Vienna (2003)"},{"issue":"2","key":"9180_CR15","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1007\/s00365-001-0011-y","volume":"18","author":"W Sun","year":"2002","unstructured":"Sun, W., Zhou, X.: Reconstruction of band-limited functions from local averages. Constr. Approx. 18(2), 205\u2013222 (2002)","journal-title":"Constr. Approx."},{"key":"9180_CR16","unstructured":"Wei, D.: Time based analog to digital converters. Ph.D. thesis, University of Florida (2005)"}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-011-9180-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10444-011-9180-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-011-9180-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,12,6]],"date-time":"2021-12-06T00:33:13Z","timestamp":1638750793000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10444-011-9180-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,9,22]]},"references-count":16,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["9180"],"URL":"https:\/\/doi.org\/10.1007\/s10444-011-9180-9","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,9,22]]}}}