Abstract
This paper studies pulse-coupled network of digital spiking neurons and its basic dynamics. The neuron is constructed by coupling two shift registers and has a variety of spike-trains which correspond to digital codes through a inter-spike interval (ISI) modulation. The pulse-coupled network has master-slave configuration. All the spike-trains of neurons in the master side are multiplexed additionally and are transmitted to the slave side via single line. Neurons in the slave side are connected by dynamic winner-take-all function. As parameters are selected suitably, the slave can realize demultiplexing and master-slave synchronization is achieved. VHDL simulation is also discussed for FPGA implementation and this digital network is compared with an analog network.
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Torikai, H., Hamanaka, H., Saito, T.: Novel digital spiking neuron and its pulse-coupled network: spike position coding and multiplex communication. In: Proc. IJCNN, pp. 3249–3254 (2005)
Glass, L., Mackey, M.C.: A simple model for phase locking of biological oscillators. J. Math. Biology 7, 339–352 (1979)
Perez, R., Glass, L.: Bistability, period doubling bifurcations and chaos in a periodically forced oscillator. Phys. Lett. 9, 441–443 (1982)
Lee, G., Farhat, N.H.: The bifurcating neuron network 1. Neural networks 14, 115–131 (2001)
Torikai, H., Saito, T., Schwarz, W.: Synchronization via multiplex pulse-train. IEEE Trans. Circuits Syst. I 46(9), 1072–1085 (1999)
Torikai, H., Saito, T.: Synchronization phenomena in pulse-coupled networks driven by spike-train inputs. IEEE Trans. Neural Networks 15(2), 337–347 (2004)
Kon’no, Y., Saito, T., Torikai, H.: Rich dynamics of pulse-coupled spiking neurons with a triangular base signal. Neural Networks 18, 523–531 (2005)
Kim, S.C., Lee, B.G.: A theory on sequence spaces and shift register generators. IEEE Trans. Comm. 44(5), 609–618 (1996)
Guan, S., Zhang, S.: An evolutionary approach to the design of controllable cellular automata structure for random number generation. IEEE Trans. Evolutionary Computation 7(1), 23–26 (2003)
Hopfield, J.J., Herz, A.V.M.: Rapid local synchronization of action potentials: Toward computation with coupled integrate-and-fire neurons. Proc. Natl. Acad. Sci. 92(15), 6655–6662 (1995)
Campbell, S.R., Wang, D., Jayaprakash, C.: Synchrony and desynchrony in integrate-and-fire oscillators. Neural Comput. 11, 1595–1619 (1999)
Nakano, H., Saito, T.: Grouping synchronization in a pulse-coupled network of chaotic spiking oscillators. IEEE Trans 15(5), 1018–1026 (2004)
Izhikevich, E.M.: Weakly pulse-coupled oscillators, FM interactions, synchronization, and oscillatory associative memory. IEEE Trans. Neural Networks 10(3), 508–526 (1999)
Maggio, G.M., Rulkov, N., Reggiani, L.: Pseudo-chaotic time hopping for UWB impulse radio. IEEE Trans. Circuits Syst. I 48(12), 1424–1435 (2001)
Torikai, H., Hamanaka, H., Saito, T.: Reconfigurable Digital Spiking Neuron and its Pulse-Coupled Network: Basic Characteristics and Potential Applications. IEEE Trans. Circuits Syst. II (2006)
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© 2006 Springer-Verlag Berlin Heidelberg
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Kabe, T., Torikai, H., Saito, T. (2006). Synchronization Via Multiplex Spike-Trains in Digital Pulse Coupled Networks. In: King, I., Wang, J., Chan, LW., Wang, D. (eds) Neural Information Processing. ICONIP 2006. Lecture Notes in Computer Science, vol 4234. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11893295_126
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DOI: https://doi.org/10.1007/11893295_126
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-46484-6
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