Forming the Higher Derivatives of Characteristics of Non-Linear Elements

Abstract

It was suggested to form higher derivatives, including the fourth one, characteristics of non-linear elements based on altering the synchronous, phase insensitive active band-stop filter to the needed harmonic component of the researched antiderivative of the characteristic of the examined element, which is proportional to the according derivative, which allows, if needed, to reestablish the missing phase component using a synchronous, sensitive to phase demodulating filter, which is agreed to the specially formed control signals, or to exclude it using a simple amplitude demodulator. The use of the proposed shaper of higher derivatives for the purpose of determining the primary parameters of various objects with nonlinear characteristics of antiderivatives makes it possible to substantially increase the accuracy of their measurements, bringing this process to the level of tenths of a percent, which is a very important result in the measurement technique, first of all, the Q-factor of radiotechnical elements, for example, varicaps, with a wide range of its change.

Keywords

• higher derivatives
• synchronous phase insensitive band-stop filter
• forming
• principles of constructing
• realization
• exactness analysis