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Effects of White Noise on ChaoGate Operations

Nookala, Varun
http://rave.ohiolink.edu/etdc/view?acc_num=osu1683399477211425

Abstract Details

2023, Master of Science, Ohio State University, Electrical and Computer Engineering.
Chaotic logic gates, or 'ChaoGates' are a proposed mixed-signal approach to preventing side-channel attacks in hardware networks. These gates are also a fundamental building block for a promising implementation of universal computing, called 'chaos computing'. However, since chaotic systems, by nature, are very sensitive to small disturbances, noise could lead these networks to fail. This thesis discusses the effects of white noise on chaotic networks of Boolean functions (Autonomous Boolean Networks; ABNs). ABNs are a network of interconnected logic gates that display a form of deterministic chaos, explained by a modelling framework based on Boolean transitions, termed Boolean Chaos. I create one such asynchronous, 3-node ABN and measure the output node states at sub-ps timescale. Existing simulation and waveform analyzer tools aren’t fast enough to measure the asynchronous, continuously evolving network at the sub-ps timescale. Using a chain of inverter gates instead, I create a delay line with a sampling frequency of 4 GHz. In practice, I make use of a digital computer to reconfigure a field-programmable gate array (FPGA) device to act as the network of Boolean functions. I release the network after setting the initial conditions with a Keypress on the FPGA. As the network evolves over time, I measure its states and transfer the measured data onto the digital computer to further study it using a mathematical model. I observe that the network outputs deterministic, repeated results over the course of 2.5 nanoseconds, beyond which, the errors in the network grow exponentially over time. I continue by demonstrating that the ChaoGate loses dependability before approaching ergodicity, and is only capable of reproducing 11.7% of all possible bit combinations. I conclude by discussing the implications of these results and future work.
Ayman Fayed (Committee Member)
Daniel Gauthier (Advisor)
44 p.
Computer Engineering; Electrical Engineering; Engineering
Chaogates; Boolean chaos; FPGA; autonomous Boolean networks; white noise

Recommended Citations

Citations

  • Nookala, V. (2023). Effects of White Noise on ChaoGate Operations [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1683399477211425

    APA Style (7th edition)

  • Nookala, Varun. Effects of White Noise on ChaoGate Operations. 2023. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1683399477211425.

    MLA Style (8th edition)

  • Nookala, Varun. "Effects of White Noise on ChaoGate Operations." Master's thesis, Ohio State University, 2023. http://rave.ohiolink.edu/etdc/view?acc_num=osu1683399477211425

    Chicago Manual of Style (17th edition)

osu1683399477211425
131
© 2023, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.