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

https://doi.org/10.1155/S1110865703304020

Received: 31 May 2002

Published: 8 September 2003

Abstract

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.

Keywords

acoustic signal processingspectral analysiscomputer musicsound synthesisdigital waveguide

Authors’ Affiliations

(1)
Laboratory of Acoustics and Audio Signal Processing, Helsinki University of Technology
(2)
Pori School of Technology and Economics, Tampere University of Technology

Copyright

© Copyright © 2003 Hindawi Publishing Corporation 2003