Identification of Hammerstein Systems with Quantized Observations

  • Le Yi Wang
  • G. George Yin
  • Ji-Feng Zhang
  • Yanlong Zhao
Part of the Systems & Control: Foundations & Applications book series (SCFA)


This chapter concerns the identification of Hammerstein systems whose outputs are measured by quantized sensors. The system consists of a memoryless nonlinearity that is polynomial and possibly noninvertible, followed by a linear subsystem. The parameters of linear and nonlinear parts are unknown but have known orders.We present input design, identification algorithms, and their essential properties under the assumptions that the distribution function of the noise and the quantization thresholds are known. Also introduced is the concept of strongly scaled full-rank signals to capture the essential conditions under which the Hammerstein system can be identified with quantized observations. Then under strongly scaled full-rank conditions, we construct an algorithm and demonstrate its consistency and asymptotic efficiency.


Prior Information Full Rank Periodic Signal Circulant Matrix Circulant Matrice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Le Yi Wang
    • 1
  • G. George Yin
    • 2
  • Ji-Feng Zhang
    • 3
  • Yanlong Zhao
    • 3
  1. 1.Department of Electrical and Computer EngineeringWayne State UniversityDetroitUSA
  2. 2.Department of MathematicsWayne State UniversityDetroitUSA
  3. 3.Key Laboratory of Systems and Control, Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijingChina

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