Skip to content


  • Research Article
  • Open Access

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

  • Paulo A. A. Esquef1Email author,
  • Matti Karjalainen1 and
  • Vesa Välimäki1, 2
EURASIP Journal on Advances in Signal Processing20032003:409784

Received: 31 May 2002

Published: 8 September 2003


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 processingspectral analysiscomputer musicsound synthesisdigital waveguide

Authors’ Affiliations

Laboratory of Acoustics and Audio Signal Processing, Helsinki University of Technology, Espoo, Finland
Pori School of Technology and Economics, Tampere University of Technology, Pori, Finland


© Copyright © 2003 Hindawi Publishing Corporation 2003