“没入型聴覚ディスプレイ装置”音響樽”による音場シミュレータの開発

—
—
∗
(
1
/JST CREST)
2
(BoSC
)
[1][2]
1
96
U
80ch
(
BoSC
1×80
[Xj ](∈ C
)
[3]
[Xj ] = [Fj ]U = [Dj + Rj ]U
[4]
[Fj ](∈ C1×80 )
[Rj ](∈ C1×80 )
(1)
U
BoSC
[Dj ](∈ C1×80 )
[Fj ]
[5]
U
U
!
D0
! j ](∈ C1×80 )
[D
[Gij ](∈ C96×80 )
[Gi0 ](∈ C96×1 )
τ1
マイクロホンアレイ
[Rj]
[Qi ](∈ C1×96 )
[Xj]
BoSC
[Dj]
音源U
[Yj ]
!j + R
!j ]U
[Yj ] = [D
(a)
!j ] =
[R
[Gij]
[Dˆ j ]
[Yj]
[Gi0 ]
ˆ]
U [D
0
(b)
Fig. 1
∗
[Qi]
[Yj ]
τ1
(2)
! 0 [Qi ][Gij ]e−jωτ1
D
1 − [Qi ][Gi0 ]e−jωτ1
(3)
[Dj ]
!j ]
[D
!j ]
[Rj ] = [R
[Qi ]
U
[Gi0 ] = 0
[Qi ]
[Xj ] =
!0 = 1
D
3
Development of a Sound-Field Simulation System Based on Boundary-Surface Contriol Principle
— Reproduction and evaluation of stage sound field —. by YOSHIDA, Hisato , WATANABE,
Yuko, IKEDA, Yusuke, ISE, Shiro (Tokyo Denki University/ CREST, JST)
′
[Qi ] = [Rj′ ][Hji
]ejωτq
(4)
τq = τh′ − τr + τ1
(5)
[Rj′ ]
[Rj ] τr
[Rj′ ] = [Rj ]ejωτr
τh′
′ ]
[Rj′ ][Hji
′ ]
[Hji
τq
2m
2.5 m
1.2 m
12
(Bruel
Kjaer Type4292) BoSC
0.35 m
0.9 m
BoSC
[Fj ]
τr =25ms
[Fj ] 0 25 ms
[Rj ]
BoSC
(RION NL-21)
3
4
3.1
4.1
1.
[Fj ]
(
BoSC
τ1
48kHz)
τ1
2.
τ1
3.
τ1
[Fj ]
τr
5
[Rj ]
[Qi ]
4
τq
′ ]
[Rj′ ][Hji
τq
τq
τh′
10 21 42ms(
N 1024 2048 4096 ) 3
[HjiN ]
τq
4.
[Qi ]
3.2
1.5
2
BoSC
"80
SN R = 10log10 "80
j=1 |rj |
j=1 |rj
[rj ]
Fig. 2
2
− r!j |2
(6)
[Rj ]
[!
rj ]
!j ] = [Qi ][Gij ]
[R
τq
SNR
3
N
SNR
′
τq = 0
τh = 42ms(N = 4096)
17.3 dB 21ms(2048)
13.7 dB
10ms(1024)
7.0 dB SNR
′
τh = 42ms
τq 30 ms
N=4096
3000
τh′ = 21ms
τq 10 ms
N=2048
1000
pN (t)
p(t)
N
1
5(b)
5(c)
-10 ms
1kHz
[Hji4096]
[Hji2048]
15
0
[Hji1024]
Energy [dB]
SNR[dB]
20
10
5
-20
-40
-60
0
0
10
20
τq
τq [ms]
40
50
100
200
300
400
Time [ms]
500
600
700
500
600
700
(a)
SNR
0
Energy [dB]
Fig. 3
30
4.2
-20
-40
-60
100
200
(b)
300
400
Time [ms]
(
)
Energy [dB]
0
p(t)
τ1 11ms
4.1
-20
-40
-60
100
200
4096
300
400
Time [ms]
(c)
(
500
600
700
)
Fig. 4
1ms
4.3
4(a)(b)
60ms
(sennheiser
5(a)
1
8000Hz
125
MKH416)
50cm
5(a)
0.1s
TSP
[Qi ]
Steinberg Nuendo 6.0 Reverence
[6]
τ1
Ler
Lrev
Ler =
11ms
[7]
# 100ms
pN (t)2 dt
10log10 #25ms
10ms
pN (t)2 dt
0
#∞
Lrev = 10log10 #100ms
10ms
0
pN (t)2 dt
pN (t)2 dt
4(c)
(7)
(8)
Time [s]
6
ཎ㡢ሙ
෌⏕㡢ሙ
2
1
100
1k
Frequency [Hz]
10k
(a)
L-er [dB]
0
ཎ㡢ሙ
෌⏕㡢ሙ
-10
-20
100
1k
Frequency [Hz]
10k
(b)
5
L-er [dB]
0
ཎ㡢ሙ
෌⏕㡢ሙ
-10
-20
100
1k
Frequency [Hz]
10k
(c)
Time [s]
Fig. 5
ཎ㡢ሙ
෌⏕㡢ሙ
2
1
100
1k
Frequency [Hz]
10k
(a)
L-er [dB]
0
ཎ㡢ሙ
෌⏕㡢ሙ
-10
-20
100
1k
Frequency [Hz]
10k
(b)
[1]
[2]
[3]
[4]
[5]
53(9), 706-713 (1997.9)
67(11), 532-537 (2011.11)
, 51(12), 1110-1115 (2012.12)
1-10-17
(2011.9)
1-Q-27 2014
[6] Gade, Acoustica, 69, 193-203(1989.11)
[7] Ueno et al., Acoust. Sci. & Tech. 24(3), 130-138
(2003.5)
L-er [dB]
0
ཎ㡢ሙ
෌⏕㡢ሙ
-10
-20
100
1k
Frequency [Hz]
(c)
Fig. 6
10k