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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Language: | en_US |
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Institute of Electrical and Electronics Engineers
2010
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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. |
first_indexed | 2024-09-23T15:13:27Z |
format | Article |
id | mit-1721.1/52349 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T15:13:27Z |
publishDate | 2010 |
publisher | Institute of Electrical and Electronics Engineers |
record_format | dspace |
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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