A time decoding realization with a CNN

2004 Seventh Seminar on Neural Network Applications in Electrical Engineering - Proceedings, NEUREL 2004

Volumn , Issue , 2004, Pages 97-102

  Lazar, Aurel A ^a   Roska, Tamás ^b   Simonyi, Erno K ^c   Tóth, László T ^d  

^a Department of Earth and Environmental Sciences   (United States)

^b PÁZMÁNY PÉTER CATHOLIC UNIVERSITY   (Hungary)

^c National Council of Hungary for Information and Communication Technology   (Hungary)

^d BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

AMPLITUDE MODULATION; BANDWIDTH; COMPUTER SIMULATION; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; NONLINEAR SYSTEMS; REAL TIME SYSTEMS;

CELLULAR NEURAL NETWORK (CNN); DIGITAL SIMULATIONS; LANCZOS PROCESS; TIME DECODING REALIZATION;

DECODING;

EID: 20844438029     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (27)

1. A. Aldroubi and K. Gröchenig, "Non-uniform sampling and reconstruction in shift-invariant spaces", SIAM Review, Vol. 43, pp. 585-620, 2001.
2. D. Castro, R. Espejo, A. Rodrigues-Vázques, A. Carmona, P. Földesy, Ä. Zarándy, P. Szolgay, T. Szirányi, and T. Roska, "A 0.8-μm CMOS two-dimensional programmable mixed-signal focal-plane array processor with on-chip binary imaging and instructions storage", IEEE Journal on Solid-State Circuits, Vol. 32 No. 7: 1013-1026. July 1997, pp. 1013-1026.
3. R. H. Chan, A. M. Yip, and M. K. Ng, "The best circulant preconditioned for Hermitian Toeplitz systems", SIAM Journal on Numerical Analysis, Vol. 38, No. 3, pp. 876-896.
4. L. O. Chua and T. Roska, "Stability of a class of nonreciprocal cellular neural network, IEEE Transactions on Circuits and Systems I, Vol. 37, No. 12, December 1990, pp. 1520-1527.
5. L. Chua and T. Roska, Cellular Neural Networks and Visual Computing, Cambridge University Press, 2002.
6. A. Cichocki and R. Unbehauen, "Neural networks for solving systems of linear equations and related problems", IEEE Transactions on Circuits and Systems I, Vol. 39, No. 2, February 1992, pp. 124-138.
7. A. Cichocki and R. Unbehauen, "Simplified neural networks for solving linear least squares and total least squares problems in real time", IEEE Transactions on Neural Networks, Vol. 5, No. 6, November 1994, pp. 910-923.
8. R. J. Duffin and A. C. Schaeffer, "A class of nonharmonic Fourier series", Transactions of the American Mathematical Society, Vol. 72, pp. 341-366, 1952.
9. H. G. Feichtinger and K. Gröchenig, Theory and Practice of Irregular Sampling. In J.J. Benedetto and M.W. Frazier, editors, Wavelets: Mathematics and Applications, pp. 305-363, CRC Press, Boca Raton, FL, 1994.
10. H. G. Feichtinger, K. Gröchenig, and T. Strohmer, "Efficient numerical methods in non-uniform sampling theory", Numerische Mathematik, 69:423-440, 1995.
11. P. Feldmann and R. W. Freund, "Efficient linear circuit analysis by Padé approximation via the Lanczos process, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, Vol. 14, No. 5, May 1995, pp. 639-649.
12. S. Jaffard, "A density criterion for frames of complex exponentials", Michigan Mathematical Journal, Vol. 38, No. 3, pp. 339-348, 1991.
13. M. Konishi, "Sound localization in the barn owl: tuning neuronal hardware with microsecond precision", Scientific American Vol. 268/4, 1993.
14. V. A. Kotel'nikov, On the Transmission Capacity of the Ether and Wire in Electrocommunications, In J.J. Benedetto and P.J.S.G. Ferreira, editors, Modern Sampling Theory, Mathematics and Applications, pp. 27-45. Birkhauser, Boston, MA, 2001.
15. Translated by V.E. Katsnelson from the Russian original published in Izd. Red. Upr. Suyazi RKKA, Moscow 1933.
16. C. Lanczos, "An iteration method for the solution of the eigenvalue problem of linear differential and integral operators", Journal of Research of the National Bureau of Standards, Vol. 45, October 1950, pp. 255-282.
17. A. A. Lazar L. T. and Tóth, "Time encoding and perfect recovery of bandlimited signals", Proceedings of the IEEE International Conference on Acoustics. Speech, and Signal Processing, Vol VI, pp. 709-712. April 6-10, 2003, Hong Kong.
18. A. A. Lazar, "Time encoding with an integrate-and-fire neuron with a refractory period", Neurocomputing, Vol. 58-50, pp. 53-58, 2004. Presented at The Computational NeuroScience Meeting, July 5-9, 2003, Alicante, Spain.
19. A. A. Lazar and L. T. Tóth, "Sensitivity analysis of time encoded bandlimited signals", Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, Vol. II, pp. 901-904, May 17-21, 2004, Montreal.
20. A. A. Lazar, E. K. Simonyi, and L. T. Tóth, "Fast recovery algorithms for time encoded bandlimited signals" , BNET Technical Report, #1-04, Department of Electrical Engineering, Columbia University, New York, NY 10027, June 2004.
21. K. Lotz, L. Bólóni, T. Roska, and J. Hámori, " Hyperacuity in time: a CNN model of a time-coding pathway of sound localization", IEEE Transactions on Circuits and Systems I, Vol. 46, No. 8, August 1999, pp. 994-1002.
22. F. Marvasti and M. Sandler, Applications of Nonuniform Sampling to Nonlinear Modulation, A/D and D/A Techniques. In F. Marvasti, editor, Nonuniform Sampling, Theory and Practice, pp. 647-687, Kluwer Academic/Plenum Publishers, New York, 2001.
23. S. R. Norsworthy, R. Schreier, and G. C. Temes (editors), Delta-Sigma Data Converters, IEEE Press, New York, 1997.
24. T. Roska and Rodriguez-Vazquez, "Towards Visual Microprocessors", Proceedings of the IEEE, July, 2002.
25. C. E. Shannon, "Communications in the presence of noise", Proceedings of the IRE, Vol. 37, pp. 10-21, January 1949.
26. T. Strohmer, Irregular Sampling, Frames and Pseudoinverse, MS Thesis, 1993, Department of Mathematics, University of Vienna, Vienna, Austria
27. R. M. Young, Introduction to Nonharmonic Fourier Series, Academic Press, New York, 1980.