adaptive multi-rate wavelet method for circuit simulation

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ID: 161795
2014
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Ranked #83 of 100 articles by views in molecular therapy : the journal of the american society of gene therapy

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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.
Reference Key
bittner2014radioengineeringadaptive Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;K. Bittner;H. G. Brachtendorf
Journal molecular therapy : the journal of the american society of gene therapy
Year 2014
DOI
DOI not found
URL
www.radioeng.cz/fulltexts/2014/14_01_0300_0307.pdf
Keywords
electronics nuclear engineering

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