Application of Exponential Splines in the Measurement and Control of Electric Circuit Parameters

Some practical aspects of the use of exponential splines for measuring and controlling parameters of electric circuits are considered. The parameter control technique of complex two-pole electric circuits based on the zeros and poles method is presented. The special shape test signal model reproduces the immittance inverse function of a multielement two-pole electric circuit under control. The model is used to achieve the step response of a two-pole circuit with nominal parameters. The usage of exponential spline models to synthesize special-form test signals is described. It is shown that exponential splines are the optimal basis for the discrete synthesis of exponential test signals. The advantage of exponential splines usage is the ease of test signal generation in linear electric circuits. Test signals creation and examples of electric circuit parameters control are presented. The effect of the type of approximating functions on the quality of the immittance inverse function reproduction and the accuracy of circuit parameters estimation using circuit response is studied. It is shown that such a basis can increase the accuracy of determining parameters of electric circuits with a limited number of approximation sections.