Parametrization of stable systems from impulse response data

S. Unnikrishna Pillai; Won Cheol Lee

doi:10.1109/ICASSP.1994.389802

Parametrization of stable systems from impulse response data

S. Unnikrishna Pillai, Won Cheol Lee

Electrical and Computer Engineering

Research output: Contribution to journal › Conference article › peer-review

Abstract

This paper addresses the problem of identifying the class of all stable system transfer functions that interpolate the given partial impulse response sequence. In this context, classical Pade approximations that are also stable, are shown to be a special case of this general formulation. The theory developed in this connection is utilized to obtain a new criterion for determining the model order and system parameters for rational systems, and, further, to generate nonmini-mum phase optimal stable rational approximations of nonrational systems from their impulse response sequences.

Original language	English (US)
Article number	389802
Pages (from-to)	IV377-IV380
Journal	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	4
DOIs	https://doi.org/10.1109/ICASSP.1994.389802
State	Published - 1994
Event	Proceedings of the 1994 IEEE International Conference on Acoustics, Speech and Signal Processing. Part 2 (of 6) - Adelaide, Aust Duration: Apr 19 1994 → Apr 22 1994

ASJC Scopus subject areas

Software
Signal Processing
Electrical and Electronic Engineering

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title = "Parametrization of stable systems from impulse response data",

abstract = "This paper addresses the problem of identifying the class of all stable system transfer functions that interpolate the given partial impulse response sequence. In this context, classical Pade approximations that are also stable, are shown to be a special case of this general formulation. The theory developed in this connection is utilized to obtain a new criterion for determining the model order and system parameters for rational systems, and, further, to generate nonmini-mum phase optimal stable rational approximations of nonrational systems from their impulse response sequences.",

author = "Pillai, {S. Unnikrishna} and Lee, {Won Cheol}",

year = "1994",

doi = "10.1109/ICASSP.1994.389802",

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note = "Proceedings of the 1994 IEEE International Conference on Acoustics, Speech and Signal Processing. Part 2 (of 6) ; Conference date: 19-04-1994 Through 22-04-1994",

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AU - Lee, Won Cheol

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AB - This paper addresses the problem of identifying the class of all stable system transfer functions that interpolate the given partial impulse response sequence. In this context, classical Pade approximations that are also stable, are shown to be a special case of this general formulation. The theory developed in this connection is utilized to obtain a new criterion for determining the model order and system parameters for rational systems, and, further, to generate nonmini-mum phase optimal stable rational approximations of nonrational systems from their impulse response sequences.

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T2 - Proceedings of the 1994 IEEE International Conference on Acoustics, Speech and Signal Processing. Part 2 (of 6)

Y2 - 19 April 1994 through 22 April 1994

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