Artificial spiking neurons and analog-to-digital-to-analog conversion

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Volumn E91-A, Issue 6, 2008, Pages 1455-1462

  Torikai, Hiroyuki ^a   Tanaka, Aya ^b   Saito, Toshimichi ^c  

^a OSAKA UNIVERSITY   (Japan)

^b TOSHIBA CORPORATION   (Japan)

^c HOSEI UNIVERSITY   (Japan)

Author keywords

Analog to digital converters; Digital to analog converters; Spiking neurons

Indexed keywords

ANALOG TO DIGITAL CONVERSION; DYNAMICAL SYSTEMS; ENCODING (SYMBOLS); NEURAL NETWORKS; NEURONS;

ANALOG TO DIGITAL CONVERTERS; ANALOG-TO-DIGITAL; BASIC CHARACTERISTICS; DIGITAL TO ANALOG; ENCODING/DECODING; PRECISE ANALYSIS; SPIKING NEURON; SWITCHED DYNAMICAL SYSTEMS;

DIGITAL TO ANALOG CONVERSION;

EID: 68149160528     PISSN: 09168508     EISSN: 17451337     Source Type: Journal    
DOI: 10.1093/ietfec/e91-a.6.1455     Document Type: Article

References (25)

1. R. Perez and L. Glass, "Bistability, period doubling bifurcations and chaos in a periodically forced oscillator," Phys. Lett. A, vol.90, no.9, pp. 441-443,1982.
2. J.P. Keener, F.C. Hoppensteadt, and J. Rinzel, "Integrate-and- firemodels of nerve membrane response to oscillatory input," SIAMJ. Appl. Math., vol.41, pp. 503-517, 1981.
3. E.M. Izhikevich, Dynamical systems in neuroscience, MIT Press, 2007.
4. H. Torikai, T. Saito, and W. Schwarz, "Synchronization via multiplex pulse-train," IEEE Trans. Circuits Syst. I, vol.46, no.9, pp. 1072-1085, 1999.
5. G. Lee and N.H. Farhat, "The bifurcating neuron network 2," Neural Netw., vol.15, no.1, pp. 69-84, 2002.
6. Y. Kon'no, T. Saito, and H. Torikai, "Rich dynamics of pulsecoupled spiking neurons with a triangular base signal," Neural Netw., vol.18, pp. 523-531, 2005. (Pubitemid 43186571)
7. S.R. Campbell, D. Wang, and C. Jayaprakash, "Synchrony and desynchrony in integrate-and-fire oscillators," Neural Comput., vol.11, pp. 1595-1619, 1999.
8. E.M. Izhikevich, "Weakly pulse-coupled oscillators, FM interactions, synchronization, and oscillatory associative memory," IEEE Trans Neural Netw., vol.10, no.3, pp. 508-526, 1999.
9. H. Torikai and T. Saito, "Synchronization phenomena in pulsecoupled networks driven by spike-train inputs," IEEE Trans. Neural Netw., vol.15, no.2, pp. 337-347, 2004.
10. H. Nakano and T. Saito, "Grouping synchronization in a pulsecoupled network of chaotic spiking oscillators," IEEE Trans. Neural Netw., vol.15, no.5, pp. 1018-1026, 2004.
11. M. Sushchik, N. Rulkov, L. Larson, L. Tsimring, H. Abarbanel, K. Yao, and A. Volkovskii, "Chaotic pulse position modulation: Arobust method of communicating with chaos," IEEE Commun. Lett., vol.4, pp. 128-130, 2000.
12. G.M. Maggio, N. Rulkov, and L. Reggiani, "Pseudo-chaotic time hopping for UWB impulse radio," IEEE Trans. Circuits Syst. I, vol.48, no.12, pp. 1424-1435, 2001. (Pubitemid 34055363)
13. A. Linares-Barranco, D. Cascado, G. Jimenez, A. Civit, M. Oster, and B. Linares-Barranco, "Poisson AER generator: Inter-spikeintervals analysis," Proc. IEEE/ISCAS 2006, pp. 3149-3152, 2006.
14. M. Christen, A. Kern, A. Nikitchenko, W.H. Steeb, and R. Stoop, " Fast spike pattern detection using the correlation integral," Phys.Rev. E, vol.70, 11901, 2004.
15. T. Toyoizumi, K. Aihara, and S. Amari, "Fisher information for sike-based population coding," Phys. Rev. Lett., vol.97, 098102, 2006.
16. B. Lindner, M.J. Chacron, and A. Longtin, "Integrate-and-fire neurons with threshold noise: A tractable model of how interspike interval correlations affect neuronal signal transmission," Phys. Rev. E, vol.72, 021911, 2005.
17. P.G.A. Jespers, Integrated converters, Oxford Univ. Press, 2001
18. L. Chiaburu and S. Signell, "An improved binary algorithmic A/D converter architecture," Proc. IEEE/ISCAS, I-865-I-868, 2003.
19. G. Cauwenberghs, "A micropower CMOS algorithmic A/D/A converter," IEEE Trans. Circuits Syst. I, vol.42, pp. 913-919, 1995.
20. L. Weyten and S. Audenaert, "Two-capacitor DAC with compensative switching," Electron. Lett., vol.31, pp. 1435-1437, 1995.
21. H.J. Jeffrey, "Chaos game representation of gene structure," Nucleic Acids Research, vol.18, pp. 2163-2170, 1990.
22. T. Saito, J. Shimakawa, and H. Torikai, "D/A converters and iterated function systems," Nonlinear Dynamics, vol.44, pp. 37-43, 2006.
23. H. Hamanaka, H. Torikai, and T. Saito, "Quantized spiking neuron with A/D converision functions," IEEE Trans. Circuits Syst. II, vol.53, no.10, pp. 1049-1053, 2006.
24. ,A. Tanaka, H. Torikai, and T. Saito, "A/D and D/A converters by spike-interval modulation of simple spiking neurons," Proc.IEEE/ISCAS, pp. 3113-3116, 2006.
25. E. Ott, Chaos in Dynamical Systems, Cambridge Univ. Press., 1993.