소리의 공간 제어를 위한 구형 다채널 스피커 어레이 설계 = Design of Multichannel Spherical Loudspeaker Array for the Spatial Sound Manipulation

다국어 초록 (Multilingual Abstract)

The objective of this paper is to design multichannel spherical loudspeaker array by considering various positioning methods such as Gaussian grid, Lebedev grid and packing method. For the spatial sound manipulation, which is to make desired sound field by controling multiple sound sources, the Kirchhoff-Helmholtz integral states that sound fields can be reproduced in terms of infinite control sources on the integral surface. But since we cannot control infinite number of sources for the implementation, we have to allocate finite number of sound sources which can approximately act as infinite number of sources. To manipulate sound field inside of a sphere (which is typical example of three dimensional array) by controlling sound sources on the surface, three methods of allocating sound sources, which are Gaussian grid, Lebedev grid and packing method, are reviewed. For each geometry, the performances of manipulation rendered by time-reversal operator and higher-order ambisonics are compared.

다국어 초록 (Multilingual Abstract)

The objective of this paper is to design multichannel spherical loudspeaker array by considering various positioning methods such as Gaussian grid, Lebedev grid and packing method. For the spatial sound manipulation, which is to make desired sound field by controling multiple sound sources, the Kirchhoff- Helmholtz integral states that sound fields can be reproduced in terms of infinite control sources on the integral surface. But since we cannot control infinite number of sources for the implementation, we have to allocate finite number of sound sources which can approximately act as infinite number of sources. To manipulate sound field inside of a sphere (which is typical example of three dimensional array) by controlling sound sources on the surface, three methods of allocating sound sources, which are Gaussian grid, Lebedev grid and packing method, are reviewed. For each geometry, the performances of manipulation rendered by time-reversal operator and higher-order ambisonics are compared.

참고문헌 (Reference)

1 강동수, "음장 제어를 위한 구형 다채널 스피커 시스템 설계 및 성능 비교" 39-48,

2 이태웅, "음장 제어 실험을 위한 32채널 스피커 시스템 구성" 868-869, 2009

3 M. Fink, "Time Reversal of Ultrasonic Fields-Part I : Basic Principles" 39 (39): 555-566, 1992

4 N. J. A. Sloane, "Tables of spherical codes"

5 F. M. Fazi, "Surround system based on three dimensional sound field reconstruction" 1997

6 J.–W. Choi, "Spatial Manipulation and Implementation of Sound" Korea Advanced Institute of Science and Technology 2005

7 KAIST Acoustics & Vibration Laboratory, "Soundball Project"

8 Y.–H. Kim, "Sound visualization and manipulation : theories and applications" 4-7, 2011

9 김양한, "Sound propagation" John Wiley & Sons (Asia) 2010

10 D. B. Ward, "Reproduction of a Plane-Wave Sound Field Using an Array of Loudspeakers" 9 (9): 697-707, 2001

11 V. I. Lebedev, "Quadratures on a sphere" 16 (16): 293-306, 1976

12 M. A. Gerzon, "Periphony : with-height sound reproduction" 21 (21): 2-10, 1973

13 S. L. Sobolev, "On mechanical quadrature formulae on the surface of a sphere" 3 (3): 486-496, 1962

14 N. Epain, "Objective evaluation of a three dimensional sound field reproduction system" 2010

15 "MERO Spaceframe system, (n.d.), Retrieved September 9, 2009"

16 J.-W. Choi, "Integral approach for the reproduction of a virtual sound source surrounded by loudspeaker arrays" 2011

17 J.-M. Lee, "In-situ calibration of a multichannel loudspeaker system by modeling transfer functions" Korea Advanced Institute of Science and Technology 2011

18 A. J. Devaney, "Holography and the inverse source problem part II: Inhomogeneous media" 2 (2): 2006-2011, 1985

19 김양한, "Generation of an acoustically bright zone with an illuminated region using multiple sources" ACOUSTICAL SOC AMER AMER INST PHYSICS 111 (111): 1695-1700, 200204

20 Y.-H. Kim, "Generation of Sound ball: Its theory and implementation" Principles and Applications of Spatial Hearing, World Scientific 393-406, 2011

21 R. P. Porter, "Diffraction-limited, scalar image formation with holograms of arbitrary shape" 60 : 1051-1059, 1970

22 F. M. Fazi, "Application of functional analysis to the sound field reconstruction" 2007

23 M. A. Gerzon, "Ambisonics in multichannel broadcasting and video" 20 : 859-871, 1985

24 J. Daniel, "Ambisonics Encoding of Other Audio Formats for Multiple Listening Conditions" 1998

25 J. S. Bamford, "Ambisonic sound for us" 1995

26 장지호, "32채널 스피커 시스템을 이용한 소리 공 형성" 866-867, 2009

27 J. Seo, "21-channel surround system based on physical reconstruction of a three dimensional target sound field" 2010