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Discrete-time analysis and modeling of reverberant and resonating systems has many applications in audio and acoustics. In a recent paper (AES110, Preprint 5290) we formulated techniques for the estimation of modal decay parameters from noisy response measurements, targeting to systems such as room reverberation and modal decay as well as musical instrument modeling. In this paper we extend the methodology to AR and ARMA modeling of measured responses by all-pole and pole-zero filters. In addition to an overview of standard techniques we propose a spectral zooming technique that is useful for resolving very closely positioned modes and high-density modal clusters. Sensitivity to background noise is also studied. Application cases are taken from analysis and modeling of room responses, loudspeaker-room equalization, and estimation of parameters for musical instrument modeling.
Author (s): Karjalainen, Matti;
Esquef, Paulo Antonio Andrade;
Antsalo, Poju;
Makivirta, Aki;
Valimaki, Vesa;
Affiliation:
Helsinki University of Technology, Lab. of Acoustics and Audio Signal Processing,HUT, Finland ; Genelec Oy, Olvitie 5, Iisalmi, Finland ; Tampere University of Technology, Pori School of Technology and Economics, Pori, Finland
(See document for exact affiliation information.)
AES Convention: 112
Paper Number:5590
Publication Date:
2002-04-06
Session subject:
Instrumentation and Measurement
DOI:
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Karjalainen, Matti; Esquef, Paulo Antonio Andrade; Antsalo, Poju; Makivirta, Aki; Valimaki, Vesa; 2002; AR/ARMA Analysis and Modeling of Modes in Resonant and Reverberant Systems [PDF]; Helsinki University of Technology, Lab. of Acoustics and Audio Signal Processing,HUT, Finland ; Genelec Oy, Olvitie 5, Iisalmi, Finland ; Tampere University of Technology, Pori School of Technology and Economics, Pori, Finland; Paper 5590; Available from: https://aes.org/publications/elibrary-page/?id=11329
Karjalainen, Matti; Esquef, Paulo Antonio Andrade; Antsalo, Poju; Makivirta, Aki; Valimaki, Vesa; AR/ARMA Analysis and Modeling of Modes in Resonant and Reverberant Systems [PDF]; Helsinki University of Technology, Lab. of Acoustics and Audio Signal Processing,HUT, Finland ; Genelec Oy, Olvitie 5, Iisalmi, Finland ; Tampere University of Technology, Pori School of Technology and Economics, Pori, Finland; Paper 5590; 2002 Available: https://aes.org/publications/elibrary-page/?id=11329
@inproceedings{Karjalainen2002ar/arma,
title={{AR/ARMA Analysis and Modeling of Modes in Resonant and Reverberant Systems}},
author={Karjalainen, Matti and Esquef, Paulo Antonio Andrade and Antsalo, Poju and Makivirta, Aki and Valimaki, Vesa},
year={2002},
month={apr},
booktitle={Journal of the Audio Engineering Society},
publisher={Paper 5590; AES Convention 112; April 2002},
number={5590},
organization={AES},
}
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