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  • Research Article
  • Open Access

Frequency-Zooming ARMA Modeling for Analysis of Noisy String Instrument Tones

  • 1Email author,
  • 1 and
  • 1, 2
EURASIP Journal on Advances in Signal Processing20032003:409784

  • Received: 31 May 2002
  • Published:


This paper addresses model-based analysis of string instrument sounds. In particular, it reviews the application of autoregressive (AR) modeling to sound analysis/synthesis purposes. Moreover, a frequency-zooming autoregressive moving average (FZ-ARMA) modeling scheme is described. The performance of the FZ-ARMA method on modeling the modal behavior of isolated groups of resonance frequencies is evaluated for both synthetic and real string instrument tones immersed in background noise. We demonstrate that the FZ-ARMA modeling is a robust tool to estimate the decay time and frequency of partials of noisy tones. Finally, we discuss the use of the method in synthesis of string instrument sounds.


  • acoustic signal processing
  • spectral analysis
  • computer music
  • sound synthesis
  • digital waveguide

Authors’ Affiliations

Laboratory of Acoustics and Audio Signal Processing, Helsinki University of Technology, P.O. Box 3000, Espoo, FIN-02015 HUT, Finland
Pori School of Technology and Economics, Tampere University of Technology, P.O. Box 300, Pori, FIN-28101, Finland


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