A Log-Frequency Approach to the Identification of the Wiener-Hammerstein Model

In this paper we present a simple closed-form solution to the Wiener-Hammerstein (W-H) identification problem. The identification process occurs in the log-frequency domain where magnitudes and phases are separable. We show that the theoretically optimal W-H identification is unique up to an amplitu...

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Main Authors: Goodman, Joel I., Herman, Matthew, Miller, Benjamin A., Bond, Bradley N.
Other Authors: Lincoln Laboratory
Format: Article
Language:en_US
Published: Institute of Electrical and Electronics Engineers 2010
Online Access:http://hdl.handle.net/1721.1/52349
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author Goodman, Joel I.
Herman, Matthew
Miller, Benjamin A.
Bond, Bradley N.
author2 Lincoln Laboratory
author_facet Lincoln Laboratory
Goodman, Joel I.
Herman, Matthew
Miller, Benjamin A.
Bond, Bradley N.
author_sort Goodman, Joel I.
collection MIT
description In this paper we present a simple closed-form solution to the Wiener-Hammerstein (W-H) identification problem. The identification process occurs in the log-frequency domain where magnitudes and phases are separable. We show that the theoretically optimal W-H identification is unique up to an amplitude, phase and delay ambiguity, and that the nonlinearity enables the separate identification of the individual linear time invariant (LTI) components in a W-H architecture.
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spelling mit-1721.1/523492022-10-02T01:27:13Z A Log-Frequency Approach to the Identification of the Wiener-Hammerstein Model Goodman, Joel I. Herman, Matthew Miller, Benjamin A. Bond, Bradley N. Lincoln Laboratory Massachusetts Institute of Technology. Research Laboratory of Electronics Goodman, Joel I. Goodman, Joel I. Herman, Matthew Miller, Benjamin A. Bond, Bradley N. In this paper we present a simple closed-form solution to the Wiener-Hammerstein (W-H) identification problem. The identification process occurs in the log-frequency domain where magnitudes and phases are separable. We show that the theoretically optimal W-H identification is unique up to an amplitude, phase and delay ambiguity, and that the nonlinearity enables the separate identification of the individual linear time invariant (LTI) components in a W-H architecture. United States Air Force (Contract FA8721-05-C-0002) 2010-03-05T18:31:26Z 2010-03-05T18:31:26Z 2009-07 2009-06 Article http://purl.org/eprint/type/JournalArticle 1070-9908 http://hdl.handle.net/1721.1/52349 Goodman, J. et al. “A Log-Frequency Approach to the Identification of the Wiener–Hammerstein Model.” Signal Processing Letters, IEEE 16.10 (2009): 889-892. © 2009 Institute of Electrical and Electronics Engineers en_US http://dx.doi.org/10.1109/lsp.2009.2026460 IEEE Signal Processing Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Institute of Electrical and Electronics Engineers IEEE
spellingShingle Goodman, Joel I.
Herman, Matthew
Miller, Benjamin A.
Bond, Bradley N.
A Log-Frequency Approach to the Identification of the Wiener-Hammerstein Model
title A Log-Frequency Approach to the Identification of the Wiener-Hammerstein Model
title_full A Log-Frequency Approach to the Identification of the Wiener-Hammerstein Model
title_fullStr A Log-Frequency Approach to the Identification of the Wiener-Hammerstein Model
title_full_unstemmed A Log-Frequency Approach to the Identification of the Wiener-Hammerstein Model
title_short A Log-Frequency Approach to the Identification of the Wiener-Hammerstein Model
title_sort log frequency approach to the identification of the wiener hammerstein model
url http://hdl.handle.net/1721.1/52349
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