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Title:Computer Analysis of Switched Capacitor Filters Including Sensitivity and Distortion Effects
Author(s):Davis, Richard Dean
Department / Program:Electrical Engineering
Discipline:Electrical Engineering
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):Engineering, Electronics and Electrical
Abstract:In this dissertation both the underlying theory and the computational aspects of a general SC filter analysis program SCAPN are described. The analysis of a periodically time-varying SC network is reduced to the analysis of several time-invariant networks. Both time-domain and frequency-domain network equations are given.
The structure of the frequency-domain modified nodal analysis (MNA) matrix is examined in detail, resulting in two methods for reducing the computations necessary to invert the MNA matrix. The first method is based on row/column ordering resulting in a bordered triangular matrix structure. The second method is based on the concept of pre-LU factorization. In this method, complex arithmetic operations that occur during LU factorization are reduced significantly. The method is successful because the frequency dependent entries of the MNA matrix may occur only in a constrained set of rows and columns.
The adjoint SC network is derived in a general manner using a modified version of Tellegen's theorem. It is shown that the frequency-domain SC adjoint network may be used to determine the transfer functions from many input ports to a single output port. This property is utilized in the SCAPN program to perform sensitivity analyses with respect to capacitors, capacitor ratios, and VCVS gains. Several examples are presented to demonstrate the accuracy of the method. The time-domain SC adjoint network is also derived although it is only of theoretical importance.
The distortion analysis of weakly nonlinear SC filters is introduced using the Volterra functional series method. In this method, the nonlinear SC filter is replaced by its linearized model, which is then driven by equivalent distortion sources. Both harmonic and intermodulation distortion analysis algorithms are implemented in the SCAPN program. To illustrate the accuracy of the method, results from the SCAPN program are compared with distortion results found by using a time-domain approach.
The SCAPN program described in this dissertation represents an efficient analysis tool for the design of SC filters. The program is user oriented and is capable of performing frequency response, sensitivity, and distortion analyses.
Issue Date:1981
Description:158 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1981.
Other Identifier(s):(UMI)AAI8203440
Date Available in IDEALS:2014-12-12
Date Deposited:1981

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