Continuous-time optimization using sub-threshold current-mode growth transform circuits

Ahana Gangopadhyay, Oindrila Chatterjee, Shantanu Chakrabartty

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

Analog circuits have long been used for solving various mathematical optimization problems due to their lower latency when compared to their digital counterparts. This paper presents a novel continuous-time analog optimization circuit based on a growth transform-based fixed-point algorithm. The circuit uses translinear MOSFET elements to implement the multiplication and normalization functions using only 5 transistors, whereas continuous-time updates and recursion are implemented using current mirrors. The circuit does not require any additional components to enforce optimization constraints and naturally converges to a steady-state solution corresponding to a local minimum of an objective function. We show that the proposed circuit is generic enough to encompass a multitude of objective functions simply by changing the external circuitry, and the power dissipation of circuit can be adjusted according to the desired latency. For this paper, we present simulation results for specific forms of quadratic and linear cost functions with tunable coefficients, subject to a normalization constraint, and the results show excellent match to floating-point software simulation results.

Original languageEnglish
Title of host publication2018 IEEE 61st International Midwest Symposium on Circuits and Systems, MWSCAS 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages246-249
Number of pages4
ISBN (Electronic)9781538673928
DOIs
StatePublished - Jan 22 2019
Event61st IEEE International Midwest Symposium on Circuits and Systems, MWSCAS 2018 - Windsor, Canada
Duration: Aug 5 2018Aug 8 2018

Publication series

NameMidwest Symposium on Circuits and Systems
Volume2018-August
ISSN (Print)1548-3746

Conference

Conference61st IEEE International Midwest Symposium on Circuits and Systems, MWSCAS 2018
Country/TerritoryCanada
CityWindsor
Period08/5/1808/8/18

Keywords

  • Analog optimization
  • Growth transform
  • Sub-threshold
  • Translinear principle

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