Adaptive Multi-Rate Wavelet Method for Circuit Simulation
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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.
KeywordsRF circuits, circuit simulation, multirate simulation, envelope simulation, splines, wavelets
Document typePeer reviewed
Document versionFinal PDF
SourceRadioengineering. 2014, vol. 23, č. 1, s. 300-307. ISSN 1210-2512
- 2014/1