Adaptive Multi-Rate Wavelet Method for Circuit Simulation
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Date
2014-04
Authors
ORCID
Advisor
Referee
Mark
Journal Title
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Volume Title
Publisher
Společnost pro radioelektronické inženýrství
Abstract
In this paper a new adaptive algorithm for multi-rate circuit simulation encountered in the design of RF circuits based on spline wavelets is presented. The ordinary circuit differential equations are first rewritten by a system of (multi-rate) partial differential equations (MPDEs) in order to decouple the different time scales. Second, a semi-discretization by Rothe's method of the MPDEs results in a system of differential algebraic equations DAEs with periodic boundary conditions. These boundary value problems are solved by a Galerkin discretization using spline functions. An adaptive spline grid is generated, using spline wavelets for non-uniform grids. Moreover the instantaneous frequency is chosen adaptively to guarantee a smooth envelope resulting in large time steps and therefore high run time efficiency. Numerical tests on circuits exhibiting multi-rate behavior including mixers and PLL conclude the paper.
Description
Citation
Radioengineering. 2014, vol. 23, č. 1, s. 300-307. ISSN 1210-2512
http://www.radioeng.cz/fulltexts/2014/14_01_0300_0307.pdf
http://www.radioeng.cz/fulltexts/2014/14_01_0300_0307.pdf
Document type
Peer-reviewed
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Published version
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Language of document
en