Publication detail

Characterization of MTL Hybrid Circuits with Stochastic Parameters through SDAE Approach

BRANČÍK, L. KOLÁŘOVÁ, E. SIGMUND, M.

Original Title

Characterization of MTL Hybrid Circuits with Stochastic Parameters through SDAE Approach

Type

conference paper

Language

English

Original Abstract

The paper deals with characterization of variability of stochastic responses at hybrid circuits composed of lumped and distributed sections. The latter is formed by multiconductor transmission lines (MTL) whose parameters can vary randomly. The solution is based on the theory of stochastic differential equations (SDE), or more precisely, on stochastic differential-algebraic equations (SDAE), just due to the presence of lumped-parameter parts. The MTL is modeled by cascading generalized LRCG cells and is described by using a state-variable method. Boundary conditions are included through a modified nodal analysis (MNA) enabling to consider arbitrarily complex systems. Based on the hybrid system’s resultant SDAE, the main idea is to formulate the Lyapunov-like ODE for the computation of a covariance matrix which carries information about the responses variability. To verify obtained results a statistical processing of individual stochastic trajectories is also utilized. All simulations were done in Matlab language environment.

Keywords

hybrid circuit; multiconductor transmission line; stochastic parameter; stochastic differential-algebraic equation; variance; Matlab

Authors

BRANČÍK, L.; KOLÁŘOVÁ, E.; SIGMUND, M.

Released

21. 6. 2018

Publisher

IEEE

Location

Lodz University of Technology, Poland

ISBN

978-83-63578-13-8

Book

Proceedings of the 25th International Conference "Mixed Design of Integrated Circuits and System" (MIXDES)

Pages from

265

Pages to

268

Pages count

4

URL

https://www.mixdes.org/Mixdes3/yearSummary/viewConf/2018

BibTex

@inproceedings{BUT151068,
  author="Lubomír {Brančík} and Edita {Kolářová} and Milan {Sigmund}",
  title="Characterization of MTL Hybrid Circuits with Stochastic Parameters through SDAE Approach",
  booktitle="Proceedings of the 25th International Conference {"}Mixed Design of Integrated Circuits and System{"} (MIXDES)",
  year="2018",
  pages="265--268",
  publisher="IEEE",
  address="Lodz University of Technology, Poland",
  doi="10.23919/MIXDES.2018.8436915",
  isbn="978-83-63578-13-8",
  url="https://www.mixdes.org/Mixdes3/yearSummary/viewConf/2018"
}