International Symposium on Nonlinear Theory and its Applications


Session Number:B1L-E



Circuit Implementation of an A/D Converter Based on the Negative β-Map with a Discrete-Time Integrator

Yoshihiko Horio,  Kenya Jin’no,  Tohru Kohda,  Kazuyuki Aihara,  


Publication Date:2010/9/5

Online ISSN:2188-5079


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We propose design methods of an A/D converter based on a negative β-map, which is robust against noise, and mismatches and deviations in circuit devices, using a discrete-time damped-integrator suitable for IC implementation. In addition, we propose two SC circuit examples for the A/D converter based on the negative β-map. Moreover, we directly apply the A/D converter to a chaos generator with simple modifications. Because the trajectories of the negative β-map is confined in an invariant subinterval, the resulting chaos generator is robust against circuit non-idealities and noise. Finally, we confirm the proposed methods and circuits through SPICE simulations with ideal circuit elements.