On automatic synthesis of analog/digital circuits

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The paper builds on a recent explicit numerical algorithm for Kolmogorov`s superpositions, and will show that in order to synthesize minimum size (i.e., size-optimal) circuits for implementing any Boolean function, the nonlinear activation function of the gates has to be the identity function. Because classical and--or implementations, as well as threshold gate implementations require exponential size, it follows that size-optimal solutions for implementing arbitrary Boolean functions can be obtained using analog (or mixed analog/digital) circuits. Conclusions and several comments are ending the paper.

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5 p.

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Beiu, V. December 31, 1998.

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Description

The paper builds on a recent explicit numerical algorithm for Kolmogorov`s superpositions, and will show that in order to synthesize minimum size (i.e., size-optimal) circuits for implementing any Boolean function, the nonlinear activation function of the gates has to be the identity function. Because classical and--or implementations, as well as threshold gate implementations require exponential size, it follows that size-optimal solutions for implementing arbitrary Boolean functions can be obtained using analog (or mixed analog/digital) circuits. Conclusions and several comments are ending the paper.

Physical Description

5 p.

Notes

OSTI as DE99002295

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  • International symposium on nonlinear theory and its applications, Crams-Montana (Switzerland), 14-17 Sep 1998

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  • Other: DE99002295
  • Report No.: LA-UR--98-3463
  • Report No.: CONF-9809116--
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 334351
  • Archival Resource Key: ark:/67531/metadc675435

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Office of Scientific & Technical Information Technical Reports

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Creation Date

  • December 31, 1998

Added to The UNT Digital Library

  • July 25, 2015, 2:20 a.m.

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  • May 20, 2016, 3:03 p.m.

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Beiu, V. On automatic synthesis of analog/digital circuits, article, December 31, 1998; New Mexico. (digital.library.unt.edu/ark:/67531/metadc675435/: accessed November 19, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.