In the present work we study the treatment of parameters’ uncertainties in complex circuits, i.e. composed by lumped and distributed elements. These problems are usually treated by the use of Monte Carlo techniques, which are extremely time‑consuming. A simple procedure for the calculation of the upper and lower limit of the response (i.e. the response bounds) is defined by using the wavelet expansion in time domain of the circuit variables. When only a part of the circuit is affected by uncertainties we use the Thevenin’s equivalent in the wavelet domain (straightforwardly evaluated) to further reduce the analysis complexity. The proposed method allows us to directly evaluate the response bounds related to the parameters uncertainties without performing repeated simulations (Monte Carlo method), with a consequent CPU time saving.

Statistical Approach in Complex Circuits by a Wavelet Based Thevenin's Theorem

BARMADA, SAMI
2007-01-01

Abstract

In the present work we study the treatment of parameters’ uncertainties in complex circuits, i.e. composed by lumped and distributed elements. These problems are usually treated by the use of Monte Carlo techniques, which are extremely time‑consuming. A simple procedure for the calculation of the upper and lower limit of the response (i.e. the response bounds) is defined by using the wavelet expansion in time domain of the circuit variables. When only a part of the circuit is affected by uncertainties we use the Thevenin’s equivalent in the wavelet domain (straightforwardly evaluated) to further reduce the analysis complexity. The proposed method allows us to directly evaluate the response bounds related to the parameters uncertainties without performing repeated simulations (Monte Carlo method), with a consequent CPU time saving.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/113327
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 0
social impact