Impulse response identification by use of wavelet packets decomposition

Masayuki Takahashi, Hiromitsu Ohmori, Akira Sano

Research output: Contribution to journalConference articlepeer-review

1 Citation (Scopus)


This paper is concerned with a new system identification approach based on the wavelet packets (WP) decomposition. The impulse response in the WP transform domain is estimated via the least squares method using transformed input/output data. Then the estimate of the original impulse response can be reconstructed from that in the transform domain by using the inverse WP transform. The MSE of the estimate is investigated, and it is clarified that the MSE can be minimized by an optimal choice of the threshold level, the resolution level and the packets selection. Therefore, the data adaptive choice is effective in ill-conditioned system identification using a band-limited input signal.

Original languageEnglish
Pages (from-to)211-214
Number of pages4
JournalProceedings of the IEEE Conference on Decision and Control
Publication statusPublished - 1998 Dec 1
EventProceedings of the 1998 37th IEEE Conference on Decision and Control (CDC) - Tampa, FL, USA
Duration: 1998 Dec 161998 Dec 18

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization


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