Study on Analog-to-Digital Converter Algorithms Using Number Theory

2016 Fiscal Year Final Research Report

• Project/Area Number: 15K13965
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Electron device/Electronic equipment
• Research Institution: Gunma University
• Principal Investigator: Kobayashi Haruo 群馬大学, 大学院理工学府, 教授 (20292625)
• Project Period (FY): 2015-04-01 – 2017-03-31
• Keywords: 整数論 / ヒボナッチ数列 / 黄金比 / 白銀比 / AD変換器 / DA変換器 / 魔方陣 / ラテン方陣

Outline of Final Research Achievements

Several circuit/layout algorithms for AD/DA converters have been developed based on number theory, which can improve their performance. These have been verified with theoretical analysis and simulation results. (1) Layout algorithms for segmented DA converters have been developed based on magic squares and Latin squares.(2) Successive approximation register (SAR) ADC architectures with golden ratio weights and silver ratio weights have been investigated and it is shown that they can be reliable, error tolerant and high speed. Also their internal DA converter circuit configurations with simple architectures have been proposed. (3) The relationship between the golden-weighted SAR ADC and the golden ratio search algorithm has been clarified.

Free Research Field

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