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Acoustics 08

Experimental analysis

of the acoustical behaviour of Musikverein in concert and ballet configurations

A. Farina, D. E. Commins and N. Prodi

(a) University of Parma, Via delle Scienze 181/A, Industrial Engineering Dept., 43100 Parma, Italy

(b) Commins Acoustics Workshop, 15 rue Laurence Savart, 75020 Paris, France

(c) Engineering Dept. - Univ. of Ferrara, Via Saragat, 1, 44100 Ferrara, Italy

(2)

Topics

z

Configurations of the room

z

Standard room acoustics measurements

z

Coupling with the storage space under the stalls

z

Surface intensity measurements

z

Analysis of the results

(3)

Concert configuration

(4)

Concert configuration

(5)

Ballroom configuration

(6)

Ballroom configuration

(7)

Measurement method:

Exponential Sine Sweep

Portable PC with 4 - channels sound board Original Room

SoundField Microphone

B- format 4 - channels signal

(WXYZ)

Measurement of B - format Impulse Responses

MLS excitation signal

Portable PC with additional sound card Room

Microphone

Output signal y Measurement of room

Impulse Response

Sweep test signal x Loudspeaker

Not-linear, time variant

system K[x(t)]

Noise n(t)

input x(t)

+ output y(t) linear system

w(t)⊗h(t) distorted signal

w(t)

(8)

Exponential Sine Sweep method

ƒ x(t) is a sine signal, which frequency is varied

exponentially with time, starting at f1 and ending at f2.

⎥ ⎥

⎥ ⎥

⎢ ⎢

⎢ ⎢

⎟⎟

⎟ ⎟

⎜⎜

⎜ ⎜

⎟⎟ −

⎜⎜ ⎞

⋅ ⎛

⎟⎟ ⎠

⎜⎜ ⎞

⋅ 1

ln

ln

sin 2

1

2

1 2

1

f

f T

t e f

f

T f

= π

x(t)

(9)

Test Signal – x(t)

(10)

Measured signal - y(t)

z

The not-linear behaviour of the loudspeaker causes

many harmonics to appear

(11)

Inverse Filter – z(t)

The deconvolution of the IR is obtained convolving the measured signal y(t) with the inverse filter z(t) [equalized, time-reversed x(t)]

(12)

Deconvolution of Exponential Sine Sweep

The “time reversal mirror” technique is employed: the system’s impulse response is obtained by convolving the measured signal y(t) with the time-reversal of the test signal x(-t). As the exp. sine sweep does not have a “white” spectrum, proper equalization is required

Test Signal x(t) Inverse Filter z(t)

(13)

Result of the deconvolution

The last impulse response is the linear one, the preceding are the harmonics distortion products of various orders

(14)

IR Selection

z After the sequence of impulse responses has been

obtained, it is possible to select and insulate just one of them:

(15)

Maximum Length Sequence vs. Sweep

(16)

Hardware: loudspeaker & microphone

Dodechaedron loudspeaker

Soundfield microphone

(17)

Equipment: computer & sound interface

Laptop PC

MOTU Traveler

(18)

Directivity of transducers

- 40 - 35 - 30 - 25 - 20 - 15 - 10 - 5 0

0

30

60

90

120

150 180

210 240 270

300 330

1000 Hz

-40 -35 -30 -25 -20 -15 -10 -5 0 0

30

60

90

120

150 180

210 240 270

300 330

2000 Hz

LookLine D200 dodechaedron

- 40 - 35 - 30 - 25 - 20 - 15 - 10 - 5 0

0

30

60

90

120

150 180

210 240 270

300 330

250 Hz

- 40 - 35 - 30 - 25 - 20 - 15 - 10 - 5 0

0

30

60

90

120

150 180

210 240 270

300 330

4000 Hz

- 40 - 35 - 30 - 25 - 20 - 15 - 10 - 5 0

0

30

60

90

120

150 180

210 240 270

300 330

8000 Hz

- 40 - 35 - 30 - 25 - 20 - 15 - 10 - 5 0

0

30

60

90

120

150 180

210 240 270

300 330

16000 Hz

(19)

pressure-velocity microphone

z The Soundfield microphone allows for simultaneous measurements of the omnidirectional pressure and of the three cartesian components of particle velocity (figure-of-8 patterns)

(20)

Directivity of transducers

Soundfield ST-250 microphone

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6

0

30

60

90

120

150 180

210 240 270

300 330

125 Hz

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6

0

30

60

90

120

150 180

210 240 270

300 330

250 Hz

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6

0

30

60

90

120

150 180

210 240 270

300 330

500 Hz

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6

0

30

60

90

120

150 180

210 240 270

300 330

1000 Hz

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6

0

30

60

90

120

150 180

210 240 270

300 330

2000 Hz

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6

0

30

60

90

120

150 180

210 240 270

300 330

4000 Hz

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6

0

30

60

90

120

150 180

210 240 270

300 330

8000 Hz

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6

0

30

60

90

120

150 180

210 240 270

300 330

16000 Hz

(21)

Measurement method:

B-format Impulse Response

(22)

3D Impulse Response (Gerzon, 1975)

Portable PC with 4- channels sound board Original Room

Sound Source

SoundField Microphone

B-format 4-channels signal (WXYZ) Measurement of B-format

Impulse Responses

MLS or sweep excitation signal

Convolution of dry signals with the B-format Impulse Responses Sound Source

Mono Mic.

B-format Imp. Resp.

of the original room

B-format 4-channels signal (WXYZ) Convolver

Ambisonics decoder

Speaker array in the reproduction room

(23)

Measurement positions

(24)

ISO3382 Parameters

(25)

Results

(26)

Results

(27)

Results

(28)

Results

(29)

Results

(30)

Storage room

under the stalls

(31)

Sound reduction index

Sound reduction index

(32)

Reverberation time of storage room

(empty)

(33)

Surface Sound Intensity

(34)

Surface Sound Intensity

(35)

Conclusions

z Musikverein is a truly variable acoustics room

z The Ballroom configuration exhibit reverberation times significantly larger than the Concert configuration, particularly at medium

frequencies

z Also G is significantly different

z However, C80 and LF do not change remarkably, ensuring good acoustical quality also in Ballroom configuration

z The storage room under the stalls is heavily insulated, hence it cannot have any effect

z The effect of the audience should be taken into account, particularly in Ballroom configuration, where it would be probably much larger than in Concert configuration.

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