NDLI: Continued fraction expansion of irrational transfer functions for simulation of physical systems

Content Provider	IEEE Xplore Digital Library
Author	Pucik, J. Lukac, T. Ondracek, O.
Copyright Year	2015
Description	Author affiliation: Inst. of Electron. & Photonics, Slovak Univ. of Technol. in Bratislava, Bratislava, Slovakia (Pucik, J.; Lukac, T.; Ondracek, O.)
Abstract	Transfer function of a linear continuous-time system with lumped parameters is a rational function. Transfer function of real systems, however, cannot always be written in the rational function form. It is the case for the systems with distributed parameters, transfer functions for modeling physical properties of materials, and systems for a colored noise generation such as the noise with power spectral density (PSD) falling off at 10 dB per decade of frequency. A time domain simulation of mentioned systems demands an approximation with a finite order system. In this paper, we consider the types of systems, the transfer functions of which are expressed with a square root. An expansion of the transfer function to the continued fraction, a system structure, and state space equations are derived. The stability of the system is shown and an example of the simulation is presented.
Starting Page	164
Ending Page	167
File Size	271434
Page Count	4
File Format	PDF
ISBN	9781479981175
e-ISBN	9781479981199
DOI	10.1109/RADIOELEK.2015.7128997
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-04-21
Publisher Place	Czech Republic
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Noise Transfer functions Stability analysis Superconducting filters Mathematical model Approximation methods pink noise irrational transfer function Numerical stability continued fraction expansion fractional order filter
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in