Vladimir Filaretov

The generalization of the extra element theorem for symbolic circuit tolerance analysis

A new method of the symbolic circuit tolerance analysis has been proposed. The approach is based on Middlebrooks extra element theorem and the generalized parameter extraction method. It does not need the matrix network description or presentation as algebraic sets or topological graphs. The proposed techniques have been realized in the computer program (Toleralize). To verify the theoretical analysis, computer simulation results are included.

A Cancellation-Free Symbolic Sensitivity Technique Based on Network Determinant Expansion

The generalization of Bode’s sensitivity analysis technique for all types of the transfer functions and circuit elements is presented in the paper. The proposed formulae for first- and second-order symbolic sensitivity calculation provide the compact size of obtained expression and have the advantages of cancellation-free sum-of-product terms and matrix-free computation. This is achieved by means of the concept of high order summative cofactors and the generalized parameter extraction method. The proposed technique is implemented in symbolic circuit analysis program Cirsym. Illustrative example on symbolic sensitivity circuit analysis and comparison of the presented technique with the transimpedance method and the method based on the modified Coates flow-graph are given.

A circuit synthesis technique based on network determinant expansion

In this paper we present a simple technique of analog electronic circuits synthesis by means of a linear representation. The approach is based on generalized parameter extraction method. It describes the procedure for developing the circuit topology both for passive or active circuits. The input data for the proposed synthesis method are the arbitrary network function approximated in polynomial form and specified elements set. In contrast to other synthesis approaches the proposed technique provides the realization of full set of equivalent circuits and allow to choose the best circuit solutions by various criteria. Experiments conducted on the low-pass filter design demonstrate the simplicity and effectiveness of synthesis method.

Transconductance realization of block-diagrams of electronic networks

A method of realization of block-diagram is proposed. The algorithm of transconductance realization is presented. The features of the algorithm for the design of high-precision amplifiers is discussed. The results of circuit simulation of electric networks based on the transconductance amplifiers, and a comparison between these networks and conventional operational amplifiers based circuits are included.

Parameters extraction technique for optimal network functions of SC circuits

The parameter extraction technique for symbolic analysis of switched capacitors circuits have been presented. The proposed extraction formulae reduce of cancellation sum-of-product terms amount in transfer function expression. For equivalent circuits of SC the models based on voltage controlled current sources with capacities parameters have been used to avoid the cancellations appearance at the circuit level. The proposed technique is implemented in symbolic circuit analysis program Cirsym. Illustrative examples on SC circuit symbolic analysis are given.

Generalized parameter extraction method for analog circuit fault diagnosis

The symbolic technique for analog fault diagnosis is presented in this paper. The cancellation-free Generalized Parameter Extraction Method for parametric fault diagnosis of electronic circuits is considered. The topological conditions of diagnosability of the active analog circuit are discussed. The algorithm for automotive fault diagnosis is proposed and implemented with the Cirsym symbolic analyzer. The experimental results on a filter circuit show the efficiency and reliability of proposed technique.

Equivalent transformations of trees with nullor and mirror pathological elements

In this paper the method of circuit synthesis using transformation of trees with pathological elements is discussed. The generalization and mathematical proof of equivalent transformations of trees with mirror and/or nullor pathological elements are presented. Algorithm of generating equivalent trees with these pathological elements is also suggested. It is based on tagging of the vertices (nodes) by taking into account a type of pathological elements between these nodes and preserving these tags during transformations of trees. Illustrative example of universal filter synthesis by means of proposed algorithm is included.

Generalized Parameter Extraction Method for Symbolic Analysis of Analog Circuits Containing Pathological Elements

This chapter gives a description of the extension of Generalized Parameter Extraction Method (GPEM) for symbolic analysis of large-scale analog circuits containing pathological elements. The brief overview of the parameter extraction approach is included. An algorithm implementing the concept of Higher Order Summative Cofactors (HOSC) for determinants computation of the pathological element-based circuits is proposed. In this chapter, we also present the hierarchical decomposition techniques of upward and downward analysis of electronic circuits by GPEM. The proposed techniques are used in freeware symbolic analyzer CirSym. Several examples are presented to illustrate the advantages of the GPEM applications.

Multiple fault diagnosis in analog circuits using the indirect compensation theorem

A method for the multiple faults diagnosis in linear analog circuits is presented in this paper. The proposed approach is based upon the concept named by the indirect compensation theorem. This theorem is reducing the procedure of fault diagnosis in the analog circuit to the symbolic analysis process. An extension of the indirect compensation theorem for the linear subcircuit is proposed. The indirect compensation provides equivalent replacement of the n-ports subcircuit by n norators and n fixators of voltages and currents. The proposed multiple faults diagnosis techniques can be used for evaluation of any kind of terminal characteristics of the two-port network. For calculation of the circuit determinant expressions, the Generalized Parameter Extraction Method is implemented. The main advantage of the analysis method is that it is cancellation free. It requires neither matrix nor ordinary graph description of the circuit. The process of symbolic circuit analysis is automated by the freeware computer program Cirsym which can be used online. The experimental results are presented to show the efficiency and reliability of the proposed technique.