A log-frequency approach to the identification of the Wiener-Hammerstein model

Joel Goodman, Matthew Herman, Bradley Bond, Benjamin A. Miller

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number2026460
Pages (from-to)889-892
Number of pages4
JournalIEEE Signal Processing Letters
Issue number10
StatePublished - 2009
Externally publishedYes

Bibliographical note

Funding Information:
Manuscript received April 13, 2009; revised June 20, 2009. First published June 30, 2009; current version published July 29, 2009. This work was supported by Air Force Contract FA8721-05-C-0002. Opinions, interpretations, conclusions and recommendations are those of the author and are not necessarily endorsed by the United States Government. The associate editor coordinating the review of this manuscript and approving it for publication was Prof. Kenneth E. Barner.


  • Log-frequency
  • Nonlinear system identification
  • Power amplifier modeling
  • Predistortion
  • Wiener-Hammerstein system

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering
  • Applied Mathematics


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