Macrosimulation of nonlinear dynamic systems for wave-shaping applications

Jan Ogrodzki; Piotr Bieńkowski

doi:10.1117/12.2075207

16 December 2014 Macrosimulation of nonlinear dynamic systems for wave-shaping applications

Jan Ogrodzki, Piotr Bieńkowski

Proceedings Volume 9290, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2014; 929036 (2014) https://doi.org/10.1117/12.2075207
Event: Symposium on Photonics Applications in Astronomy, Communications, Industry and High-Energy Physics Experiments, 2014, Warsaw, Poland

Abstract

Macromodeling is a technique widely used in circuits simulation. Macromodels usually describe complex, repetitive parts of large systems. They are often created on the base of original circuits by their simplification, e.g. macromodels of operational amplifiers. Another group of macromodels makes use of the circuit response approximation. This approach is called behavioral macromodeling. Low numerical complexity of behavioral macromodels is especially useful in CAD systems where circuit simulation must be run many times. In this paper the behavioral macromodeling technique has been applied to the whole circuit not to its part. This technique may be understood as shaping of the circuit output response and so belongs to a class of wave-shaping methods. We have used it to nonlinear, dynamic circuits with periodic signals of finite spectra, as e.g. in audio systems. The macromodels shape their frequency and spectral characteristics with a sufficient simplicity to omit unwanted distortions and with a sufficient efficiency to run the simulator in real time. Elaboration of this wave-shaping simulator is based on dynamic circuits identification, Fourier approximation of signals and harmonic balance technique. The obtained macromodel can be run as a software substitute for a hardware audio system.

Citation Download Citation

Jan Ogrodzki and Piotr Bieńkowski "Macrosimulation of nonlinear dynamic systems for wave-shaping applications", Proc. SPIE 9290, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2014, 929036 (16 December 2014); https://doi.org/10.1117/12.2075207

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