Computing with phase locked loops: Choosing gains and delays

IEEE Transactions on Neural Networks

Volumn 14, Issue 1, 2003, Pages 243-247

  Piqueira, José Roberto Castilho ^a   Orsatti, Fernando Moya ^a   Monteiro, Luiz Henrique Alves ^a,b  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

^b MACKENZIE PRESBYTERIAN UNIVERSITY   (Brazil)

Author keywords

Acquisition time; Free running frequencies; Phase locked loops (PLLs); Synchronism; Synchronous state

Indexed keywords

ERROR ANALYSIS; FREQUENCIES; GAIN MEASUREMENT; NEURAL NETWORKS; PATTERN RECOGNITION; SYNCHRONIZATION;

SYNCHRONOUS STATE FREQUENCY;

PHASE LOCKED LOOPS;

EID: 0037276907     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2002.806633     Document Type: Article

References (30)

1. F. G. Hoppensteadt and E. M. Izhikevich, "Synaptic organizations and dynamical properties of weakly connected neural oscillators I. Analysis of a canonical model," Biol. Cybern., vol. 75, pp. 117-127, 1996.
2. _, "Synaptic organizations and dynamical properties of weakly connected neural oscillators II. Learning phase information," Biol. Cybern., vol. 75, pp. 129-135, 1996.
3. L.A. Segel, Modeling Dynamic Phenomena in Molecular and Cellular Biology. New York: Cambridge Univ. Press, 1984.
4. L. Glass and M. C. Mackey, From Clocks to Chaos: The Rhythms of Life. Princeton, NJ: Princeton Univ. Press, 1988.
5. F.C. Hoppensteadt and C. S. Peskin, Mathematics in Medicine and Life Sciences Springer-Verlag, New York, 1992.
6. J.T. Bonner, Life Cycles. Princeton, NJ: Princeton Univ Press, 1993.
7. P. Sassone-Corsi, "Molecular clocks: Mastering time by gene regulation," Nature, vol. 392, pp. 871-874, 1998.
8. R.D. Traub, M. A. Whittington, I. M. Stanford, and J. G. R. Jefferys, "A mechanism for generation of long-range synchronous fast oscillations in the cortex," Nature, vol. 383, pp. 621-624, 1996.
9. E. Basar, Brain Functions and Oscillations h Principles and Approaches. Berlin, Germany: Springer-Verlag, 1998.
10. M. Abeles, Y. Prut, H. Bergman, E. Vaadia, and A. Aerstsen, "Integration, synchronicity and periodicity," in Brain Theory, A. Aertsen, Ed. Amsterdam, The Netherlands: Elsevier, 1993.
11. M. A. Arbib, Handbook of Brain Theory and Neural Networks. Cambridge, MA: The MIT Press, 1995.
12. K. MacLeod, A. Bäcker, and G. Laurent, "Who reads temporal information contained across synchronized and oscillatory spike trains?," Nature, vol. 395, pp. 693-698, 1998.
13. E. Basar, Brain Functions and Oscillations II: Integrative Brain Function. Berlin: Springer-Verlag, 1999.
14. E. R. Kandel, J. H. Schwartz, and T. M. Jessel, Principles of Neural Science, 4th ed. New York: MC Graw Hill, 2000.
15. E. Ahissar, "Temporal-code to rate-code conversion by neuronal phaselocked loops," Neural Computation, vol. 10, pp. 597-650, 1998.
16. F. C. Hoppensteadt and E. M. Izhikevich, "Pattern recognition via synchronization in phase-locked loop neural networks," IEEE Trans. Neural Networks, vol. 11, pp. 734-738, May 2000.
17. _, "Oscillatory neurocomputers with dynamic connectivity," Phys. Rev. Lett., vol. 82, no. 14, pp. 2983-2986, 1999.
18. K. Dessouky and W. C. Lindsey, "Phase and frequency transfer between mutually synchronized oscillators," IEEE Transactions on Communications, vol. COM-32, pp. 110-117, Feb. 1984.
19. A.J. Viterbi, Principles of Coherent Communication. New York: MCGraw-Hill, 1966.
20. W. C. Lindsey, Syncronization Systems in Communication and Control. New Jersey: Prentice-Hall, 1972.
21. F. M. Gardner, Phaselock Technics. New York: Wiley, 1971.
22. R.E. Best, Phase-Locked Loops. New York: MCGraw-Hill, 1984.
23. J.R.C. Piqueira, "Aplicação da teoria qualitativa de equações diferenciais a problemas de sincronismo de fase,", Escola Politécnica-USP, São Paulo, Brazil, 1987.
24. K. Ogata, Modern Control Engineering. Upper Saddle River, NJ: Prentice-Hall, 1997.
25. D. Hanselman and B. Littlefield, Mastering MATLAB. Upper Saddle River, NJ: Prentice-Hall, 1996.
26. Simulink: Dynamic System Simulation for MATLAB. Natick, MA:The Math Works, 1997.
27. M. de Souza Vieira, A. J. Lichtenberg, and M. A. Lieberman, "Nonlinear dynamics of self-synchronizing systems," Int. J. Bifurcation Chaos, vol. 1, no. 3, pp. 691-699, 1991.
28. _, "Self-synchronization of many coupled oscillators," Int. J. Bifurcation Chaos, vol. 4, no. 6, pp. 1563-1577, 1994.
29. G. Goldsztein and S. H. Strogatz, "Stability of synchronization in networks of digital phase-locked loops," Int. J. Bifurcation Chaos, vol. 5, no. 4, pp. 983-990, 1995.
30. J.R.C. Piqueira and L. H. Monteiro, "Full-connected three node phaselocked loop network," in Nonlinear Dynamics, Control, Chaos and Applications to Engineering Sciences, J. M. Balthazar, P. B. Gonçalves, R. M. F. L. R. F. Brasil, I. L. Caldas, and F. B. Rizatto, Eds. Campinas, Brazil: American Academy of Mechanics and Associação Brasileira de Ciências Mecânicas, 2000, vol. 5, pp. 6-18.