DocumentCode :
1463274
Title :
Symbolic-numeric circuit analysis or symbolic circuit analysis with online approximations
Author :
Katzenelson, Jacob ; Unikovski, Aharon
Author_Institution :
Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel
Volume :
46
Issue :
1
fYear :
1999
fDate :
1/1/1999 12:00:00 AM
Firstpage :
197
Lastpage :
207
Abstract :
This paper describes a method for obtaining simplified symbolic expressions for the transfer functions of analog electronic circuits and, in particular, analog transistor circuits. The circuits are modeled as linear lumped RLC electrical networks with dependent sources. Both the frequency and the values of the components appear as symbols in the transfer functions. The simplification is done by symbolic computation with approximations taking place during the computation. The method has three essential parts of the method. (1) The user partitions the network to modules satisfying mismatch conditions (to the first approximation). The transfer functions of each module are evaluated and the results are combined to form the transfer functions of the network. (2) A nominal value is associated with each component; R1≫R2 if and only if the absolute nominal value of R1 is “much larger” than the absolute nominal value of R2; When R1+R2 is evaluated, R1 is returned if R1≫R2. The relation ≫ is defined between functions of the frequency as well as between values. (3) Whenever possible, polynomials are represented as a product of lower order polynomials. When the lower order polynomials are of order one or two, poles or zeros are available in symbolic form. This paper presents transistor circuit examples computed by the SCHEME program which implements the method
Keywords :
analogue circuits; approximation theory; lumped parameter networks; network analysis; poles and zeros; polynomials; symbol manipulation; transfer functions; transistor circuits; SCHEME program; analog electronic circuit; linear lumped RLC electrical network; online approximation; poles; polynomial; symbolic circuit analysis; symbolic-numeric circuit analysis; transfer function; transistor circuit; zeros; Analog circuits; Circuit analysis; Electronic circuits; Frequency; Helium; Jacobian matrices; Poles and zeros; Polynomials; RLC circuits; Transfer functions;
fLanguage :
English
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher :
ieee
ISSN :
1057-7122
Type :
jour
DOI :
10.1109/81.739266
Filename :
739266
Link To Document :
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