Title :
Symbolic modeling of periodically time-varying systems using harmonic transfer matrices
Author :
Vanassche, Piet ; Gielen, Georges ; Sansen, Willy
Author_Institution :
MICAS Lab., Katholieke Univ. Leuven, Belgium
fDate :
9/1/2002 12:00:00 AM
Abstract :
This paper presents an algorithm for generating symbolic expressions for the harmonic transfer functions of linear periodically time-varying (LPTV) systems, like mixers and PLLs. The harmonic transfer functions characterize the up- and downconversion behavior of the wanted and unwanted signal components. The algorithm, which the authors call Symbolic HTM, is based on the organization of the harmonic transfer functions into a harmonic transfer matrix. This representation allows one to manipulate LPTV systems in a way that is similar to linear time-invariant systems, making it possible to generate symbolic expressions relating the overall harmonic transfer functions to the building block parameters. These expressions can be used as design equations or as parameterized models for use in simulations or synthesis. Comparison of the symbolic models with numerical data shows them to be accurate, even for small numbers of modeling terms
Keywords :
circuit analysis computing; linear network analysis; mixers (circuits); network parameters; phase locked loops; symbol manipulation; time-varying networks; time-varying systems; LPTV systems; PLLs; Symbolic HTM; building block parameters; design equations; downconversion behavior; harmonic transfer matrices; mixers; numerical data; parameterized models; periodically time-varying systems; symbolic modeling; unwanted signal components; upconversion behavior; wanted signal components; Circuit analysis; Circuit simulation; Circuit synthesis; Equations; Frequency estimation; Numerical models; Phase locked loops; Power harmonic filters; Time varying systems; Transfer functions;
Journal_Title :
Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCAD.2002.801098
