Abstract
In this paper we take a fresh look at Goto and von Neumann’s phase-based logic ideas, provide enhancements that can overcome major limitations of their previous implementations. We show that with injection locking serving as the central mechanism, almost any DC-powered, self-sustaining nonlinear oscillator — including electronic, spintronic, biological, optical and mechanical ones — can be used to build fundamental components — including latches and combinatorial elements in a phase logic based computing architecture. We also discuss noise immunity and potential power dissipation advantages that can be achieved under this scheme.
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Neogy, A., Roychowdhury, J.: Analysis and Design of Sub-harmonically Injection Locked Oscillators. In: Proc. IEEE DATE (March 2012)
Adler, R.: A study of locking phenomena in oscillators. Proceedings of the I.R.E. and Waves and Electrons 34, 351–357 (1946)
Bhansali, P., Roychowdhury, J.: Gen-Adler: The generalized Adler’s equation for injection locking analysis in oscillators. In: Proc. IEEE ASP-DAC, pp. 522–227 (January 2009)
Buck, J., Buck, E.: Synchronous fireflies. Scientific American (1976)
Cilek, F., Seemann, K., Brenk, D., Essel, J., Heidrich, J., Weigel, R., Holweg, G.: Ultra low power oscillator for UHF RFID transponder. In: Proc. IEEE Freq. Contr. Symp., pp. 418–421 (May 2008)
Deen, M.J., Kazemeini, M.H., Naseh, S.: Performance characteristics of an ultra-low power VCO. In: Proc. IEEE ISCAS (May 2003)
Demir, A., Mehrotra, A., Roychowdhury, J.: Phase Noise in Oscillators: a Unifying Theory and Numerical Methods for Characterization. IEEE Trans. Ckts. Syst. – I: Fund. Th. Appl. 47, 655–674 (2000)
Demir, A., Roychowdhury, J.: A Reliable and Efficient Procedure for Oscillator PPV Computation, with Phase Noise Macromodelling Applications. IEEE Trans. on Computer-Aided Design, 188–197 (2003)
Eiichi, G.: Resonator circuits, US Patent 2,948,818 (August 9, 1960)
Farzeen, S., Ren, G., Chen, C.: An ultra-low power ring oscillator for passive UHF RFID transponders. In: Proc. IEEE MWSCAS, pp. 558–561 (August 2010)
Feuer, M.D., Hendel, R.H., Kiehl, R.A., Hwang, J.C.M., Keramidas, V.G., Allyn, C.L., Dingle, R.: High-speed low-voltage ring oscillators based on selectively doped heterojunction transistors. IEEE Electron Device Letters EDL-4, 306–307 (1983)
Giancoli, D.C.: Physics for Scientists and Engineers. Prentice-Hall, Englewood Cliff (1989)
Goto, E.: New Parametron circuit element using nonlinear reactance, KDD Kenyku Shiryo (1954)
Grigoriu, M.: Stochastic Calculus: Applications in Science and Engineering. Birkhäuser, Boston (2002)
Hoe, W., Goto, E.: Quantum Flux Parametron: A Single Quantum Flux Superconducting Logic Device. Studies in Josephson Supercomputers, vol. 2. World Scientific (1991)
Huygens, C.: Horologium Oscillatorium. Apud F. Muget, Paris (1672); Observations of injection locking between grandfather clocks
Izhikevich, E.M.: Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting (Computational Neuroscience), 1st edn. The MIT Press (November 2006)
Kaka, S., Pufall, M.R., Rippard, W.H., Silva, T.J., Russek, S.E., Katine, J.A.: Mutual phase-locking of microwave spin torque nano-oscillators. Nature 437, 389–392 (2005)
Kurokawa, K.: Injection locking of microwave solid-state oscillators. Proceedings of the IEEE 61, 1336–1410, 1386–1410 (1973)
Lai, X., Roychowdhury, J.: Capturing injection locking via nonlinear phase domain macromodels. IEEE Trans. Microwave Theory Tech. 52, 2251–2261 (2004)
Mahboob, I., Yamaguchi, H.: Bit storage and bit flip operations in an electromechanical oscillator. Nature Nanotechnology 3, 275–279 (2008)
Malkin, I.G.: Some Problems in Nonlinear Oscillation Theory, Gostexizdat, Moscow (1956)
Manley, J.M., Rowe, R.E.: Some general properties of nonlinear elements – Part I. General energy relations. Proceedings of the Institute of Radio Engineers 44, 904–913 (1956)
Middleton, D.: An Introduction to Statistical Communication Theory. Wiley-IEEE, New York (1996)
Muroga, S.: Elementary principle of Parametron and its application to digital computers. Datamation 4, 31–34 (1958)
Nguyen, C.T.-C.: Vibrating RF MEMS for Next Generation Wireless Applications. In: Proc. IEEE CICC (May 2004)
Oshima, Enemoto, Watanabe: Oscillation theory of Parametron and method of measuring nonlinear elements, KDD Kenkyu Shiryo (1955)
Oshima, S.: Introduction to Parametron. Denshi Kogyo 4, 4 (1955)
Bhansali, P., Srivastava, S., Lai, X., Roychowdhury, J.: Comprehensive Procedure for Fast and Accurate Coupled Oscillator Network Simulation. In: Proc. ICCAD, pp. 815–820 (November 2008)
Kinget, P., Melville, R., Long, D., Gopinathan, V.: An injection-locking scheme for precision quadrature generation. IEEE J. Solid-State Ckts. 37, 845–851 (2002)
Pufall, M.R., Rippard, W.H., Kaka, S., Silva, T.J., Russek, S.E.: Frequency modulation of spin-transfer oscillators. Applied Physics Letters 86, 82506 (2005)
Rippard, W.H., Pufall, M.R., Kaka, S., Silva, T.J., Russek, S.E., Katine, J.A.: Injection locking and phase control of spin transfer nano-oscillators. Phys. Rev. Lett. 95, 067203 (2005)
Strogatz, S.: Sync: The Emerging Science of Spontaneous Order, Theia (March 2003)
Strogatz, S.H., Stewart, I.: Coupled oscillators and biological synchronization. Scientific American 269, 102–109 (1993)
Takahashi, H.: The Parametron. Tsugakkat Shi 39, 56 (1956)
Taub, A.H. (ed.): John von Neumann: Collected Works. Design of Computers, Theory of Automata and Numerical Analysis, vol. V. Pergamon Press, New York (1963)
Toh, S., Tsukamoto, Y., Guo, Z., Jones, L., Liu, T., Nikolic, B.: Impact of random telegraph signals on Vmin in 45nm SRAM. In: Proceedings of the IEEE International Electron Devices Meeting, pp. 767–770 (2009)
Tsukamoto, Y., Toh, S., Shin, C., Mairena, A., Liu, T., Nikolic, B.: Analysis of the relationship between random telegraph signal and negative bias temperature instability. In: Proceedings of the IEEE International Reliability Physics Symposium, pp. 1117–1121 (2010)
von Neumann, J.: Non-linear capacitance or inductance switching, amplifying and memory devices (1954)
Weinstein, D., Bhave, S.A.: The resonant body transistor. Nano Letters 10, 1234–1237 (2010)
Wigington, R.L.: A New Concept in Computing. Proceedings of the Institute of Radio Engineers 47, 516–523 (1959)
Winfree, A.: Biological Rhythms and the Behavior of Populations of Coupled Oscillators. Theoretical Biology 16, 15–42 (1967)
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Wang, T., Roychowdhury, J. (2014). PHLOGON: PHase-based LOGic using Oscillatory Nano-systems. In: Ibarra, O., Kari, L., Kopecki, S. (eds) Unconventional Computation and Natural Computation. UCNC 2014. Lecture Notes in Computer Science(), vol 8553. Springer, Cham. https://doi.org/10.1007/978-3-319-08123-6_29
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DOI: https://doi.org/10.1007/978-3-319-08123-6_29
Publisher Name: Springer, Cham
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