Handbook of Applied Cryptography
Handbook of Applied Cryptography
A Current-Mode Circuit Implementing Chaotic Continuous Piecewise-Affine Markov Maps
MICRONEURO '99 Proceedings of the 7th International Conference on Microelectronics for Neural, Fuzzy and Bio-Inspired Systems
Elements of Information Theory (Wiley Series in Telecommunications and Signal Processing)
Elements of Information Theory (Wiley Series in Telecommunications and Signal Processing)
A Provably Secure True Random Number Generator with Built-In Tolerance to Active Attacks
IEEE Transactions on Computers
CMOS Current-Mode Circuits for Data Communications (Analog Circuits and Signal Processing)
CMOS Current-Mode Circuits for Data Communications (Analog Circuits and Signal Processing)
Increasing Manufacturing Yield for Wideband RF CMOS LNAs in the Presence of Process Variations
ISQED '07 Proceedings of the 8th International Symposium on Quality Electronic Design
Analog Integrated Circuits and Signal Processing
Proceedings of the 18th ACM Great Lakes symposium on VLSI
Variation tolerant design methods for wideband low noise amplifiers
Analog Integrated Circuits and Signal Processing
IEEE Transactions on Circuits and Systems Part I: Regular Papers
IEEE Transactions on Signal Processing
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In this paper, we introduce a novel discrete chaotic map named zigzag map that demonstrates excellent chaotic behaviors and can be utilized in truly random number generators (TRNGs). We comprehensively investigate the map and explore its critical chaotic characteristics and parameters. We further present two circuit implementations for the zigzag map based on the switched current technique as well as the current-mode affine interpolation of the breakpoints. In practice, implementation variations can deteriorate the quality of the output sequence as a result of variation of the chaotic map parameters. In order to quantify the impact of variations on the map performance, we model the variations using a combination of theoretical analysis and Monte-Carlo simulations on the circuits. We demonstrate that even in the presence of the map variations, a TRNG based on the zigzag map passes all of the NIST 800-22 statistical randomness tests using simple post processing of the output data.