Abstract
A dynamic frequency divider using a negative-differential-resistance (NDR) circuit combined with an inductor and a capacitor was demonstrated. This NDR circuit was made of Si-based metal-oxide-semiconductor field-effect transistor (MOS) and SiGe-based heterojunction bipolar transistor devices. The operation of this frequency divider circuit was based on the long-period behavior of the nonlinear NDR circuit generating chaos phenomena. This circuit was analyzed by numerical simulation and the results showed that different dividing ratio could be obtained by modulating the input signal frequency using the MATLAB program and the HSPICE program. Some measured results were shown to verify our analyses. This application was designed based on a standard 0.18 μm BiCMOS technique.
We’re sorry, something doesn't seem to be working properly.
Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.
References
Lorenz, E. (1963). Deterministic non-periodic flow. Journal of the Atmospheric Sciences, 20, 130–141.
Ivancevic, V. G., & Ivancevic, T. T. (2008). Complex nonlinearity: Chaos, phase transitions, topology change and path integrals. New York: Springer.
Hilborn, R. C. (2004). Sea gulls, butterflies, and grasshoppers: A brief history of the butterfly effect in nonlinear dynamics. American Journal of Physics, 72(4), 425–427.
Chua, L. O., Kocarev, L., Eckert, K., & Itoh, M. (1992). Experimental chaos synchronization in Chua’s circuit. International Journal of Bifurcation and Chaos, 2(03), 705–708.
Chen, L., & Aihara, K. (1995). Chaotic simulated annealing by a neural network model with transient chaos. Neural Networks, 8(6), 915–930.
Kawano, Y., Ohno, Y., Kishimoto, S., Maezawa, K., & Mizutani, T. (2002). High-speed operation of a novel frequency divider using resonant tunneling chaos circuit. Japanese Journal of Applied Physics, 41(2B), 1150–1153.
Quintana, J. M., & Avedillo, M. J. (2005). Analysis of frequency divider RTD circuits. IEEE Transactions on Circuits and Systems I: Regular Papers, 52(10), 2234–2247.
Kawano, Y., Ohno, Y., Kishimoto, S., Maezawa, K., & Mizutani, T. (2002). 50 GHz frequency divider using resonant tunnelling chaos circuit. Electronics Letters, 38(7), 305–306.
Romeira, B., Figueiredo, J. M. L., Slight, T. J., Wang, L., Wasige, E., Ironside, C. N., et al. (2008). Synchronization and chaos in a laser diode driven by a resonant tunneling diode. IET Optoelectronics, 2(6), 211–215.
Kaddoum, G., & Shokraneh, F. (2015). Analog network coding for multi-user multi-carrier differential chaos shift keying communication system. IEEE Transactions on Wireless Communications, 14(3), 1492–1505.
Quyen, N. X., Van Yem, V., & Duong, T. Q. (2015). Design and analysis of a spread-spectrum communication system with chaos-based variation of both phase-coded carrier and spreading factor. IET Communications, 9(12), 1466–1473.
Wang, S., Kuang, J., Li, J., Luo, Y., Lu, H., & Hu, G. (2002). Chaos-based secure communications in a large community. Physical Review E, 6(6), 065202(R).
Sudirgo, S., Nandgaonkar, R. P., Curanovic, B., Hebding, J. L., Saxer, R. L., Islam, S. S., et al. (2004). Monolithically integrated Si/SiGe resonant interband tunnel diode/CMOS demonstrating low voltage MOBILE operation. Solid-State Electronics, 48, 1907–1910.
Chung, S. Y., **, N., Berger, P. R., Yu, R., Thompson, P. E., Lake, R., et al. (2004). 3-terminal Si-based negative differential resistance circuit element with adjustable peak-to-valley current ratios using a monolithic vertical integration. Applied Physics Letters, 84(14), 2688–2690.
Balthasar, V. D. P. (1934). Nonlinear theory of electric oscillations. Proceedings of the Institute of Radio Engineers, 22(9), 1051–1086.
Gan, K. J., Tsai, C. S., Hsien, C. W., Li, Y. K., & Yeh, W. K. (2011). Design of monostable-bistable transition logic element using the BiCMOS-based negative differential resistance circuit. Analog Integrated Circuits and Signal Processing, 68(3), 379–385.
Gan, K. J., Tsai, C. S., Chen, Y. W., & Yeh, W. K. (2010). Voltage-controlled multiple-valued logic design using negative differential resistance devices. Solid-State Electronics, 54(12), 1637–1640.
Núñez, J., Avedillo, M. J., & Quintana, J. M. (2011). RTD–CMOS pipelined networks for reduced power consumption. IEEE Transactions on Nanotechnology, 10(6), 1217–1220.
Hanafusa, Hiroaki, Hirose, Nobumitsu, Kasamatsu, Akifumi, Mimura, Takashi, Matsui, Toshiaki, Harold, M. H., et al. (2011). Si/Ge hole-tunneling double-barrier resonant tunneling diodes formed on sputtered flat Ge layers. Applied Physics Express, 4(2), 024102.
Nagase, M., & Tokizaki, T. (2014). Bistability characteristics of GaN/AlN resonant tunneling diodes caused by intersubband transition and electron accumulation in quantum well. IEEE Transactions on Electron Devices, 61(5), 1321–1326.
Chua, L. O., Wu, C. W., Huang, A., & Zhong, G. Q. (1993). A universal circuit for studying and generating chaos. I. Routes to chaos. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 40(10), 732–744.
Zou, F., & Nossek, J. A. (1993). Bifurcation and chaos in cellular neural networks. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 40(3), 166–173.
Rand, R. H., & Holmes, P. J. (1980). Bifurcation of periodic motions in two weakly coupled van der Pol oscillators. International Journal of Non-Linear Mechanics, 15(4–5), 387–399.
Acknowledgements
The authors would like to thank the Chip Implementation Center (CIC) of Taiwan for its great effort and assistance in arranging the fabrication of this chip. This work was financially supported by the Ministry of Science and Technology of Taiwan under contract no. NSC101-2221-E-415-026.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Gan, KJ., Guo, CY., Wu, PF. et al. Design and analysis of the dynamic frequency divider using the BiCMOS–NDR chaos-based circuit. Analog Integr Circ Sig Process 96, 9–19 (2018). https://doi.org/10.1007/s10470-018-1200-y
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10470-018-1200-y