Digital-to-Analog Converter Architectures Based on Polygonal and Prime Numbers

Yuanyang Du, Xueyan Bai, Manato Hirai, Shuhei Yamamoto, Anna Kuwana, Haruo Kobayashi, Kazuyoshi Kubo · 2020

This paper describes new configurations of digital-to-analog converters (DACs) based on number theory: (i) DACs consisting of N current sources, N-angle number weighted resistor networks, switch arrays and decoders (N= 3, 4, 5,...). (ii) A DAC composed of two current sources, a prime number weighted resistor network, switch array, a decoder; this is based on Goldbach's conjecture in the number theory. Their principles, configurations and operations are presented.

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