Seeking maximum linearity of transfer functions.

Rev Sci Instrum

São Carlos Institute of Physics, University of São Paulo, P.O. Box 369, São Carlos, SP, Brazil.

Published: December 2016

AI Article Synopsis

  • The study presents a new method to identify the most linear operational region of a system based on its transfer function, using least squares regression and exploring all potential regions.
  • This approach is demonstrated through both theoretical models, like sigmoid transfer functions, and experimental data from a low-power current amplifier.
  • The findings not only allow for better understanding of device characteristics but also open doors for applications in various fields such as intelligent control systems and power law behavior analysis.

Article Abstract

Linearity is an important and frequently sought property in electronics and instrumentation. Here, we report a method capable of, given a transfer function (theoretical or derived from some real system), identifying the respective most linear region of operation with a fixed width. This methodology, which is based on least squares regression and systematic consideration of all possible regions, has been illustrated with respect to both an analytical (sigmoid transfer function) and a simple situation involving experimental data of a low-power, one-stage class A transistor current amplifier. Such an approach, which has been addressed in terms of transfer functions derived from experimentally obtained characteristic surface, also yielded contributions such as the estimation of local constants of the device, as opposed to typically considered average values. The reported method and results pave the way to several further applications in other types of devices and systems, intelligent control operation, and other areas such as identifying regions of power law behavior.

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http://dx.doi.org/10.1063/1.4969058DOI Listing

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