Multirate Simulation by the MPDE technique for Radio Frequency Circuits

FH-Prof. Dr.-Ing. habil. Hans Georg Brachtendorf, Upper Austria University of Applied Sciences (FHO), Hagenberg

12 Jan 2015, 16:15–17:45; Location: S2|17-103

In this talk we give an overview of the FHO activities in the fp-7 research projects ICESTARS, nanoCOPS, the ENIAC project ARTEMOS, and the Austrian basic research project "Spline/wavelet based methods in circuit simulation".

In Radio Frequency (RF) circuits one observes slowly varying envelope or baseband signals modulated by a carrier signal at a carrier frequency fc, the bandpass signal. Communication engineers are mainly interested in distortions of the baseband signals during transmission and developed the method of the Equivalent Complex Baseband (ECB) technique which splits the envelope from the carrier waveform. This method circumvents the bottleneck caused by the sampling theorem and speeds up the run-time significantly.

This technique is however not applicable for nonlinear circuits described by the Modified Nodal Analysis (MNA): the Multirate PDE (MPDE) reformulates the system of ordinary DAE system by a system of PDEs as mixed boundary/initial value problem instead. The formulation of the PDE depends on the specific problem under test. The solution of the ordinary DAE is obtained along a characteristic curve of the PDE.

The boundary/initial value problem can be solved by standard techniques such as the well known Harmonic Balance (HB) method based on trigonmetric basis functions, multistep integration formulas (i.e. BDF methods) etc. A severe disadvantage of trigonometric basis functions is the non compactedness of the basis functions. BDF methods exhibit on the other hand numerical dissipation of energy. In the recent research projects spline/wavelet methods with adaptive grid have been developed instead.

In a current research project the multirate circuit simulator is coupled with an EM/device simulator from MAGWEL. Preliminary results are presented.

The research presented was performed in cooperation with Kai Bittner.

Category: CE Seminar


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