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#Post#: 21--------------------------------------------------
magic knight tours to correct errors in semiconductor devices
By: gsgs Date: August 7, 2023, 10:58 am
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2023 paper using random numbers based on magic knight tours
(which they call "Euler Knight Tour")
to correct errors in semiconductor devices
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Segmented DAC Unit Cell Selection Algorithm and Layout/Routing
Based on Classical Mathematics
2023 , Y Zhao, J Wei, S Katayama, M Higashino, H Kobayashi
HTML http://jmeis.e-jikei.org/ARCHIVES/v06n01/JMEIS_v06n01a002.pdf
...
9. Conclusion
In this paper, we have demonstrated that unary cell selection
algorithms
based on the classical mathematics can improve the segmented DAC
linearity as they can cancel systematic mismatch effects.
Pseudo random numbers in 2D arrays were simulated to reproduce
by the cell arrangements using the regular, Latin square, Magic
square
and Euler Knight tour approaches.
Our simulations showed that Latin square, Magic square and Euler
Knight tour
algorithms offer superior overall DAC linearity to the regular
layout.
We have also developed a layout and routing design EDA tool for
the 2D unit
cell arrays for regular, Latin square, Magic square and Euler
Knight tour algorithms,
and shown their feasibilities for DAC implementation in an IC.
We expect that since there are a lot of Euler Knight tour, Latin
square
and Magic square mathematical research results, layout
algorithms using
them to configure 2D unit cells of the unary DAC can be refined
further.
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