CUBIC SPLINE VIRTUAL INSTRUMENTS ASSOCIATED TO SYMBOLIC TRANSMITTANCE OF CIRCUIT

Abstract- This paper develops the synthesis of some elementary cubic spline virtual instruments associated to the symbolic transmittance of circuits. The implementation of these virtual instruments is based on the power of LabVIEW programming language to develop modular applications. The method has a pronounced educational purpose and can be used in electric and electronic circuits time analysis. The general symbolic transmittance of such circuits is expressed like a linear combination of elementary symbolic transmittances. An elementary first or second order differential equation is associated to an elementary symbolic transmittance. The solutions of this equation are given by a third order spline approximates and the algorithms lead to the synthesis of inferior order spline virtual instruments. Using a cascade connection of such elementary virtual instruments, a high order virtual instrument associated to the general symbolic transmittance is obtained. Finally, the circuit response can be determined. I Introduction. Symbolic Transmittance [1] Circuit analysis represents an essential part of the teaching process dedicated to the electronic and electrical engineering students. The numerical methods are widely used for this analysis and they are based on complex mathematical calculus