Kurtosis as a diffuseness measure

Cheol-Ho Jeong

Kurtosis as a diffuseness measure

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Abstract

This study presents a kurtosis analysis of room impulse responses as a potential room
diffuseness measure. In the early part of an impulse response, sound pressure samples do not
constitute a Gaussian distribution due to the direct sound and strong reflections. Such
deterministic reflections are extreme events, which prevent the pressure samples from being
normally distributed, leading to a high kurtosis. As the reflections are sparser and stronger, the
sound field becomes less diffuse and the kurtosis systematically increases, indicating that it can
be used as a diffuseness measure. The kurtosis converges to zero, as the reflection overlap
becomes heavier, which is an important condition for a perfect diffuse field. Two rooms are
analyzed. A small rectangular room shows that a non-uniform surface absorption distribution
tends to increase the kurtosis significantly. A full scale reverberation chamber is also tested with
many different diffuser settings. Results show that the kurtosis from a broad band impulse
response has a good correlation with the equivalent absorption coefficient according to ISO 354.

Original language	English
Title of host publication	Proceedings of 22nd International Congress on Acoustics
Number of pages	10
Publication date	2016
Publication status	Published - 2016
Event	22nd International Congress on Acoustics : Acoustics for the 21st century - Catholic University of Argentina, Buenos Aires, Argentina Duration: 5 Sept 2016 → 9 Sept 2016 http://ica2016.org.ar/

Conference

Conference	22nd International Congress on Acoustics
Location	Catholic University of Argentina
Country/Territory	Argentina
City	Buenos Aires
Period	05/09/2016 → 09/09/2016
Internet address	http://ica2016.org.ar/

Keywords

Diffuse sound field
Diffuseness
Kurtosis
ISO 354

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@inproceedings{43836600808c41999186a5030ec392bd,

title = "Kurtosis as a diffuseness measure",

abstract = "This study presents a kurtosis analysis of room impulse responses as a potential room diffuseness measure. In the early part of an impulse response, sound pressure samples do not constitute a Gaussian distribution due to the direct sound and strong reflections. Such deterministic reflections are extreme events, which prevent the pressure samples from being normally distributed, leading to a high kurtosis. As the reflections are sparser and stronger, the sound field becomes less diffuse and the kurtosis systematically increases, indicating that it can be used as a diffuseness measure. The kurtosis converges to zero, as the reflection overlap becomes heavier, which is an important condition for a perfect diffuse field. Two rooms are analyzed. A small rectangular room shows that a non-uniform surface absorption distribution tends to increase the kurtosis significantly. A full scale reverberation chamber is also tested with many different diffuser settings. Results show that the kurtosis from a broad band impulse response has a good correlation with the equivalent absorption coefficient according to ISO 354. ",

keywords = "Diffuse sound field, Diffuseness, Kurtosis, ISO 354",

author = "Cheol-Ho Jeong",

year = "2016",

language = "English",

booktitle = "Proceedings of 22nd International Congress on Acoustics",

note = "22nd International Congress on Acoustics : Acoustics for the 21st century, ICA 2016 ; Conference date: 05-09-2016 Through 09-09-2016",

url = "http://ica2016.org.ar/",

}

TY - GEN

T1 - Kurtosis as a diffuseness measure

AU - Jeong, Cheol-Ho

PY - 2016

Y1 - 2016

N2 - This study presents a kurtosis analysis of room impulse responses as a potential room diffuseness measure. In the early part of an impulse response, sound pressure samples do not constitute a Gaussian distribution due to the direct sound and strong reflections. Such deterministic reflections are extreme events, which prevent the pressure samples from being normally distributed, leading to a high kurtosis. As the reflections are sparser and stronger, the sound field becomes less diffuse and the kurtosis systematically increases, indicating that it can be used as a diffuseness measure. The kurtosis converges to zero, as the reflection overlap becomes heavier, which is an important condition for a perfect diffuse field. Two rooms are analyzed. A small rectangular room shows that a non-uniform surface absorption distribution tends to increase the kurtosis significantly. A full scale reverberation chamber is also tested with many different diffuser settings. Results show that the kurtosis from a broad band impulse response has a good correlation with the equivalent absorption coefficient according to ISO 354.

AB - This study presents a kurtosis analysis of room impulse responses as a potential room diffuseness measure. In the early part of an impulse response, sound pressure samples do not constitute a Gaussian distribution due to the direct sound and strong reflections. Such deterministic reflections are extreme events, which prevent the pressure samples from being normally distributed, leading to a high kurtosis. As the reflections are sparser and stronger, the sound field becomes less diffuse and the kurtosis systematically increases, indicating that it can be used as a diffuseness measure. The kurtosis converges to zero, as the reflection overlap becomes heavier, which is an important condition for a perfect diffuse field. Two rooms are analyzed. A small rectangular room shows that a non-uniform surface absorption distribution tends to increase the kurtosis significantly. A full scale reverberation chamber is also tested with many different diffuser settings. Results show that the kurtosis from a broad band impulse response has a good correlation with the equivalent absorption coefficient according to ISO 354.

KW - Diffuse sound field

KW - Diffuseness

KW - Kurtosis

KW - ISO 354

M3 - Article in proceedings

BT - Proceedings of 22nd International Congress on Acoustics

T2 - 22nd International Congress on Acoustics

Y2 - 5 September 2016 through 9 September 2016

ER -

Kurtosis as a diffuseness measure

Abstract

Conference

Keywords

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