Sound Field Control by Indefinite MINT Filters
Summary :
The Multiple input-output INverse/filtering Theorem (MINT) proves that N + 1 inverse filters are necessary to precisely control sound at N points in a space, and gives the minimum orders of such filters. In this paper, we propose the Indefinite MINT Filters (IMFs) for adding one or more control points to the above framework without increasing the number of inverse filters. Although the controllability of the new point is not sufficient, that of the other points is still maintained high enough by the principle of the MINT. In a two point sound control (using two inverse filters), the IMFs could reduce the squared error to the desired sound up to - 10 dB at the second point which is not controlled by the MINT.
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- IEICE TRANSACTIONS on Fundamentals Vol.E80-A No.5 pp.821-824
- Publication Date
- 1997/05/25
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- Special Section PAPER (Special Section on Acoustical Inverse Problems)
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Hirofumi NAKAJIMA, Masato MIYOSHI, Mikio TOHYAMA, "Sound Field Control by Indefinite MINT Filters" in IEICE TRANSACTIONS on Fundamentals,
vol. E80-A, no. 5, pp. 821-824, May 1997, doi: .
Abstract: The Multiple input-output INverse/filtering Theorem (MINT) proves that N + 1 inverse filters are necessary to precisely control sound at N points in a space, and gives the minimum orders of such filters. In this paper, we propose the Indefinite MINT Filters (IMFs) for adding one or more control points to the above framework without increasing the number of inverse filters. Although the controllability of the new point is not sufficient, that of the other points is still maintained high enough by the principle of the MINT. In a two point sound control (using two inverse filters), the IMFs could reduce the squared error to the desired sound up to - 10 dB at the second point which is not controlled by the MINT.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e80-a_5_821/_p
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@ARTICLE{e80-a_5_821,
author={Hirofumi NAKAJIMA, Masato MIYOSHI, Mikio TOHYAMA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Sound Field Control by Indefinite MINT Filters},
year={1997},
volume={E80-A},
number={5},
pages={821-824},
abstract={The Multiple input-output INverse/filtering Theorem (MINT) proves that N + 1 inverse filters are necessary to precisely control sound at N points in a space, and gives the minimum orders of such filters. In this paper, we propose the Indefinite MINT Filters (IMFs) for adding one or more control points to the above framework without increasing the number of inverse filters. Although the controllability of the new point is not sufficient, that of the other points is still maintained high enough by the principle of the MINT. In a two point sound control (using two inverse filters), the IMFs could reduce the squared error to the desired sound up to - 10 dB at the second point which is not controlled by the MINT.},
keywords={},
doi={},
ISSN={},
month={May},}
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TY - JOUR
TI - Sound Field Control by Indefinite MINT Filters
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 821
EP - 824
AU - Hirofumi NAKAJIMA
AU - Masato MIYOSHI
AU - Mikio TOHYAMA
PY - 1997
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E80-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 1997
AB - The Multiple input-output INverse/filtering Theorem (MINT) proves that N + 1 inverse filters are necessary to precisely control sound at N points in a space, and gives the minimum orders of such filters. In this paper, we propose the Indefinite MINT Filters (IMFs) for adding one or more control points to the above framework without increasing the number of inverse filters. Although the controllability of the new point is not sufficient, that of the other points is still maintained high enough by the principle of the MINT. In a two point sound control (using two inverse filters), the IMFs could reduce the squared error to the desired sound up to - 10 dB at the second point which is not controlled by the MINT.
ER -
English
