Equalization of Loudspeaker and Room Responses Using Kautz Filters: Direct Least Squares Design

DSP-based correction of loudspeaker and room responses is becoming an important part of improving sound reproduction. Such response equalization (EQ) is based on using a digital filter in cascade with the reproduction channel to counteract the response errors introduced by loudspeakers and room acou...

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Main Authors: Tuomas Paatero, Matti Karjalainen
Format: Article
Language:English
Published: SpringerOpen 2007-01-01
Series:EURASIP Journal on Advances in Signal Processing
Online Access:http://dx.doi.org/10.1155/2007/60949
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spelling doaj-07827c8a5dce49fa96bd06b473abf6fa2020-11-24T20:55:00ZengSpringerOpenEURASIP Journal on Advances in Signal Processing1687-61721687-61802007-01-01200710.1155/2007/60949Equalization of Loudspeaker and Room Responses Using Kautz Filters: Direct Least Squares DesignTuomas PaateroMatti KarjalainenDSP-based correction of loudspeaker and room responses is becoming an important part of improving sound reproduction. Such response equalization (EQ) is based on using a digital filter in cascade with the reproduction channel to counteract the response errors introduced by loudspeakers and room acoustics. Several FIR and IIR filter design techniques have been proposed for equalization purposes. In this paper we investigate Kautz filters, an interesting class of IIR filters, from the point of view of direct least squares EQ design. Kautz filters can be seen as generalizations of FIR filters and their frequency-warped counterparts. They provide a flexible means to obtain desired frequency resolution behavior, which allows low filter orders even for complex corrections. Kautz filters have also the desirable property to avoid inverting dips in transfer function to sharp and long-ringing resonances in the equalizer. Furthermore, the direct least squares design is applicable to nonminimum-phase EQ design and allows using a desired target response. The proposed method is demonstrated by case examples with measured and synthetic loudspeaker and room responses. http://dx.doi.org/10.1155/2007/60949
collection DOAJ
language English
format Article
sources DOAJ
author Tuomas Paatero
Matti Karjalainen
spellingShingle Tuomas Paatero
Matti Karjalainen
Equalization of Loudspeaker and Room Responses Using Kautz Filters: Direct Least Squares Design
EURASIP Journal on Advances in Signal Processing
author_facet Tuomas Paatero
Matti Karjalainen
author_sort Tuomas Paatero
title Equalization of Loudspeaker and Room Responses Using Kautz Filters: Direct Least Squares Design
title_short Equalization of Loudspeaker and Room Responses Using Kautz Filters: Direct Least Squares Design
title_full Equalization of Loudspeaker and Room Responses Using Kautz Filters: Direct Least Squares Design
title_fullStr Equalization of Loudspeaker and Room Responses Using Kautz Filters: Direct Least Squares Design
title_full_unstemmed Equalization of Loudspeaker and Room Responses Using Kautz Filters: Direct Least Squares Design
title_sort equalization of loudspeaker and room responses using kautz filters: direct least squares design
publisher SpringerOpen
series EURASIP Journal on Advances in Signal Processing
issn 1687-6172
1687-6180
publishDate 2007-01-01
description DSP-based correction of loudspeaker and room responses is becoming an important part of improving sound reproduction. Such response equalization (EQ) is based on using a digital filter in cascade with the reproduction channel to counteract the response errors introduced by loudspeakers and room acoustics. Several FIR and IIR filter design techniques have been proposed for equalization purposes. In this paper we investigate Kautz filters, an interesting class of IIR filters, from the point of view of direct least squares EQ design. Kautz filters can be seen as generalizations of FIR filters and their frequency-warped counterparts. They provide a flexible means to obtain desired frequency resolution behavior, which allows low filter orders even for complex corrections. Kautz filters have also the desirable property to avoid inverting dips in transfer function to sharp and long-ringing resonances in the equalizer. Furthermore, the direct least squares design is applicable to nonminimum-phase EQ design and allows using a desired target response. The proposed method is demonstrated by case examples with measured and synthetic loudspeaker and room responses.
url http://dx.doi.org/10.1155/2007/60949
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