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Auditory perception of structural uncertainty

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HAL Id: hal-00838685

https://hal.univ-brest.fr/hal-00838685

Submitted on 26 Jun 2013

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To cite this version:

Vincent Koehl, Etienne Parizet. Auditory perception of structural uncertainty. Euronoise 2006, 6th

european conference on noise control, May 2006, Tampere, Finland. pp.S22-20. �hal-00838685�

(2)

1 2

AUDITORY PERCEPTION OF STRUCTURAL UNCERTAINTY

12345367895AB

C

D7E6253357F256

C

7

2

3456748697A1B9574896CD1EF6D89A1 CD898814896C41AD1F9ACFAD1E9AD1A136C1 89AC81817 1!"159D 14#ACA1$A4C1%4AA1

&'&!21B9A754CCA1%AA 1()E%1

#*6A+,#49CD4-6C.71 1

ABSTRACT 1

AF4DA16.1D87F8741CFA7849C8 14C19CD8794165/AF817AD89C01.7614DD176F896C1F4C1

A+95981 41 470A1 #479459981 9C1 98D1 #95748671 4C1 4F6D89F41 5A+4#9671 6A1 7A#96D1 D89AD1

+4#A1 .6FDA1 6C1 8+A1 #4794896C1 9C1 C69DA1 4C1 #9574896C1 5A81AAC1 D87F87AD1 198+1 C69C41

9AC89F41 AD90C1 6CD1 A988A1 51 8+ADA1 D87F87AD1 1A7A1 4D61 69.9A1 2+D1 981 90+81 5A1

8+60+818+481D6C1A7FA896C1161#4714D11A15AF4DA16.1D87F8741#479459981361A#A7 1

8+481765A1+4D1C681A815AAC19C#AD89048A12+A14916.18+9D1D8114D1861D+611+6118614DDADD1

8+A1 A7FA841 F6CDAACFAD1 6.1 8+481 +D9F41 #479459981 E1 AF+4C9F41 6A1 DD8A 1 6C1

1+9F+1D87F8741CFA7849C81F615A1D948A 114D1DA811.671D6C1DC8+AD9D12+A1D6CD1

4A988A51 51 8+7AA1 9..A7AC81 8AD1 6.1 76F8D1 1A7A1 8+AC1 4DDADDA1 51 41 0761 6.1 9D8ACA7D1

A7.679C01 41 F48A067964896C1 84D*1 2+A1 76DA1 14D1 861 A8A79CA1 9.1 D6CD1 D8A9C01 .761

C69C41 9AC89F41 65/AF8D1 1A7A1 414D1 F48A06796A1 860A8+A71 671 9.1 D6CD1 A988A1 51

C69C41 9..A7AC81 65/AF8D1 F61 5A1 F6C.DA1 2+9D1 AA79AC81 AC45A1 861 .9C1 8+A1 68941

4789896C16.18+A1D89D1DA81#AC18+60+1D5F4DDAD14A47A1198+9C1D89917A7ADAC89C016CA1

8A16.165/AF8 1D6CD1DC8+AD96A1198+19..A7AC818AD16.165/AF8D11A7A1C681F6C.DA11

(3)

1 ! 1 INTRODUCTION

:A1 861 D87F8741 CFA7849C8 1 8+A1 #95748671 4C1 4F6D89F41 5A+4#9671 6.1 49CD87941 9AC89F451 76F8D1 41 A+95981 41 470A1 #479459981 .761 6CA1 F61 861 4C68+A71 2+A1 DF488A71 6.1 C69DA1 4C1 #9574896CD1 +4D1 5AAC1 D89A1 51 A7C+471 4C1 86A41 ;2<1 6C1 F6A1 D87F87AD1 DF+1 4D1 F47D1 671 51 =>7+40AC1 4C1 9C81 ;!<1 6C1 D9A1 D87F87AD1 DF+1 4D1 D91 D678A1 48AD1 #AC1 8+60+1 8+A1 F6CDAACFAD1 6.1 D87F8741 CFA7849C81 6C1 D6C1 7494896C1 1A7A1 D89A1 4C1 F4C1 5A1 7A9F8A 1 8+A971 A7FA841 F6CDAACFAD1 1A7A1 C681 9C#AD89048A1 D61 .471 A#A78+AADD 1 D6A1 4A7D1 1A7A1 A#68A1 861 D81 8+A1 9C.ACFA1 6.1 D87F8741 474A8A7D1

#4794896CD1 6#A71 D6C1 A7FA896C1 2+ADA1 D89AD1 .6FDA1 6C1 D6CD1 A988A1 51 D6A1 54D9F1 D87F87AD19*A1547D1;?<14C148AD1;@<118114D1D+61C18+481D41D87F8741#4794896CD1F615A1 A7FA9#A1519D8ACA7D181418+D15A18+60+818+481D87F8741CFA7849C819D14741C689FA45A1 4C18+4818+9D1+D9F41#479459981F4C14D614..AF818+A176F81D6C14981C18+A17ADAC814A7 1 D8991 1A7A1 DC8+AD96A1 D9C01 41 CA79F41 6A1 2+A1 91 C681 7AF9DA1 7A7ADAC81 D6C1 4981 6.1 76F8D1 A#A78+AADD 1 41 D6C1 4981 4DDADDAC81 76FA7A1 14D1 766DA1 861 A8A79CA19.1F6C.D96C114D16DD95A15A81AAC165/AF8D1198+17ADA19..A7AC81D6C14981

2 CATEGORIZATION TEST 2.1 Listeners

E107616.1?71D5/AF8D1AB1.A4AD14C1!!14ADC1866*147819C18+9D1AA79AC812+A11A7A1 D8AC8D16.18+A14567486714C18+A97140AD174C0A1.761!?1861?71A47D 14#A740A15A9C01!&1A47D1 4C1D84C471A#94896C1!"1A47D1E17A678A1+4#9C01C6741+A479C01

2.2 Stimuli

6CD18615A14DDADDA11A7A1DC8+AD96A1D9C0141AF+4C9F416A1DD8A12+9D1CA79F41 6A114D14A116.14C1AC09CA1F6CCAF8A186141749489C014CA1#9418+7AA1A4D89F16C8D12+A1 AC09CA1 AA78A1 41 +476C9F1 F6A1 .67FA1 6C1 8+A1 6C8D 1 F6CD9A7A1 4D1 7A1 D79C0D 1 8+A971 C69C41D89..CADD15A9C012771D12+A1749489C014CA114D16AA14D141D91D678A1 D47A1 48A 1 98D1 AC08+1 14D1 "771 1 2+7AA1 9..A7AC81 8AD1 6.1 476F8D51 1A7A1 6AA1 9C1 67A71 861 DC8+AD96A1 D8991 198+1 9..A7ACFAD1 9C1 D6C1 4981 2+A1 8+7AA1 65/AF8D1 9..A7A1 51 8+A97148A148A79414C18+9F*CADD1EFF679C018618+A165/AF818A 198D176A789AD147A19C9F48A19C1 245A121E5/AF818A121AD8AA148A 12118+9F*CADDC114D147A41DA19C1417A#96D1D81;2<1 E5/AF81 8A1 !1 4C1 ?1 1A7A1 4A1 6.1 4C1 49C91 48A1 +4#9C01 7ADAF89#A1 A9#4AC81 8+9F*CADD14C14DD14D18+A148A1DA1.6718A121

12345678692A5BC2462DE6AFCD566AF5642A56B652F6A566BEA86 976F818A1 F48A7941 2+9F*CADD1F11

2A121 8AA11 2711

2A1!1 E9C91 2711

2A1?1 E9C91 !G11

1

(4)

1 ?

2+A1 D87F8741 CFA7849C81 F6CFA7CA1 6C1 8+A1 D89..CADD1 6.1 8+A1 6C8D1 4C1 8+A1 48A1 8+9F*CADD1 1+9F+1 1A7A1 D6DA1 861 #471 198+9C1 8+A1 F66C1 86A74CFA1 74C0A1 ACF6C8A7A1 9C1 9CD871 2+A1 86A74CFA1 74C0A1 14D1 ?!"1H1 .671 8+A1 8+9F*CADD1 4C1 !71H1 .671 8+A1 D89..CADD1 2+9D1

#479459981 14D1 F+6DAC1 861 9CFA1 D41 581 A7FA895A1 F+4C0AD1 9C1 D6CD1 (9#A1 DC8+AD9D1 F6C.9074896CD11A7A1DA811.671A4F+165/AF8I18+A1C69C41D848A14C1.671A87AA1F6C.9074896CD1 9C11+9F+18+A18161474A8A7D147A148A7C48A14818+A1A714C161A7199816.18+A186A74CFA174C0A1 6CD121861"11A7A1DC8+AD96A1D9C0165/AF818A12 1&1861271D9C018A1!14C12218612"1D9C01 8A1?1

2.3 Apparatus

2+A1 F48A067964896C1 AA79AC81 866*1 4FA1 9C1 8+A1 456748671 39D8ACA7D1 1A7A1 DA48A1 9C1 4C1 9D648A19D8AC9C0176616CD11A7A17A76FA1.6719689F1+A479C01198+1419%1A9A1198+1 4C1 F+61 :909841 E961 =E!@1 D6CF471 #941 41 DA81 6.1 ACC+A9DA71 3:&771 +A4+6CAD1 5/AF8D1+41C619C.674896C1456818+A1D6C1D67FAD1

2.4 Procedure

:79C01 8+9D1 AA79AC8 1 9D8ACA7D1 +41 861 4DDADD1 2"1 D6CD1 4C1 861 048+A71 8+A1 9C861 A9#4ACFA1 F4DDAD 1 8+A1 A9#4ACFA1 7A4896C1 5A9C01 8+A1 A7FA9#A1 D9947981 6CD1 1A7A1 7ADAC8A1 6C1 8+A1 8AD81 19C611 481 8+A1 D4A1 89A1 4F+1 D6C1 14D1 7A7ADAC8A1 51 41 A9F48A1 5886C18+481F615A1.7AA16#A16C18+A1DF7AAC1139D8ACA7D1+4186107615886CD19C861FD8A7D1 886C1 C5A7D1 1A7A1 74C61 4774C0A1 2+A1 C5A71 6.1 F48A0679AD1 14D1 C681 7ADF795A1 4C1 F61 +ACFA1 #471 5A81AAC1 21 4C1 2"1 CD87F896CD1 1A7A1 6741 C689.9A1 861 9D8ACA7D1 5A.67A1 8+A1 5A09CC9C01 6.1 8+A1 8AD81 5/AF8D1 F61 9D8AC1 861 A4F+1 D89D1 4D1 4C1 89AD1 4D1 8+A1 14C8A1 2+9D176FA7A114D1448A1.761D9947981671A4D4C8CADD14DDADDAC8176FA7AD11+A7A18+A1 9D8ACA71 14D1 D6DA1 861 5A1 414D1 45A1 861 9AC89.1 8+A1 D6C1 D67FA1 ;&<1 C1 671 F4DA 1 8+A1 9D8ACA7D1+41C619C.674896C1456818+A1D89914C11A7A1C6814D*A18617AF60C96A18+A971D67FAD1 A#A78+AADD 1 981 14D1 AAF8A1 8+481 8+9D1 AA79AC81 161 AC45A1 861 9AC89.1 8+A1 48AC81 A9#4ACFA1F4DDAD1198+9C18+A1D89D174C0A12+A18AD8174896C1#479A1.761B18612"19C14C1 14D189F412219C1

1

3 RESULTS

3.1 Partition analysis and optimal partition

4F+1 9D8ACA71 F7A48A1 +9D1 DAF9.9F1 4789896C1 6.1 8+A1 D89D1 DA81 2+A1 9D8795896C1 6.1 F4DDAD1 C5A71 9C1 9C9#941 4789896CD1 9D1 D+61C1 9C1 (901 !1 4F+1 4789896C1 F615A17A7ADAC8A15141 A5A7D+9148791;2< 11+A7AI

1

1

2+A1D16.18+A19C9#941A5A7D+914879FAD1461A1861A79#A14C19CF9ACFA148791;<1 8+481F615A1874CD.67A19C86141A4C19DD994798148791;<I1

2 9.1D6CD1 14C1 147A 9C 8+A D4A F4DD A C

7 68+A719DA1 1111 11111111111111111

C

2 C 1

= 2

3 1 A2C1

(5)

1 @ 1

1+A7A1;2

4

<19D18+A1A5A7D+9148791.6719D8ACA714 1D15A9C018+A1C5A716.14789F94C8D1 1

1 C8686CABC3ACD66AF56D35B6642562D6AF56 6CDEC!CE2462BACACD86

1

JD9C01A4C19C*40A1A8+6 18+9D19D84CFA14879104#A18+A14006A74896C187AA1AAC76074C1 D+61C19C1(901!181F615A1C689FA18+4811+AC1F889C018+A14006A74896C187AA19C861?1F4DDAD 1 8+A19..A7AC818AD16.165/AF8D14A47A181F4C18+AC15A1F6CFA18+4819..A7AC818AD16.165/AF8D1 1A7A1C681F6C.DA1519D8ACA7D11

1

1

C8686952D6245B2ACD6AB556B6AF56AC465A662A5BC"2ACD6A5A#63A2CD5E6B6AF56ECA2D56 2ABC$6CD62!5B2564CD2565AFE861F56E2F5E64CD56F%6AF56AC246AACD645!54626CDEC2A5E636 AF56BB5A5E6&2DE6CDE5$86

[ ] [ ]

2

[ ]

2 2

D

4

2

4

D D

= − = − 4

=

1 A!C1

(6)

1 "

2+A1689414789896C114D1DAAF8A1D614D186148F+18+A19C9#9416CAD14D11A14D16DD95A1 FA4C14789896CD16.18+A1D89D174C0A1AF6C849C9C01.761218612"1F4DDADC1F615A165849CA151 F889C01 8+9D1 87AA1 481 #4796D1 4006A74896C1 A#AD1 2+A1 )4C1 9CA1 ;G<1 9D1 4C1 AD8948671 6.1 8+A1 F6CF674CFA15A81AAC181614789896CD135A7814C1E7459A1;B<1A#A6A141F677AF8A1#A7D96C16.1 8+9D1 9CA 1 AC459C01 861 F6ACD48A1 8+A1 .4F81 8+481 4789896C1 F677AD6CACFA1 F61 5A1 A1 861 F+4CFA1 2+A1 F677AF8A1 )4C1 9CA1 14D1 F68A1 861 AD8948A1 8+A1 F6CF674CFA1 5A81AAC1 A4F+1 A4C14789896C1A7AD89C01.7618+A1AC7607414C1F6C849C9C01.761218612"1F4DDADC14C18+A1?71 9C9#941 4789896CD1 ED1 D+61C1 9C1 (901 ? 1 8+A1 5AD81 A4C1 F6CF674CFA1 4A47A1 1+AC1 4789896C9C01 8+A1 D89D1 DA81 9C861 .9#A1 F4DDAD1 4FF679C01 861 8+A1 4006A74896C1 87AA1 2+A1 5AD81 F889C01 A#A1 6C1 8+A1 AC760741 9D1 9C9F48A1 51 8+A1 4D+A1 9CA1 9C1 (901 !1 EFF679C01 861 8+A1 7AD89C014789896C 1D5F4DDAD11A7A1A7FA9#A1198+9C141.4916.1D6CD1

1

1 C8686'BB5A5E6&2DE6CDE5$6B652F66AF567(652D62BACACD86

3.2 Perceptual space of similarity

E1899ACD96C414C4D9D114D1F4779A1681861A8A79CA18+A1A7FA841D4FA16.1D9947981 .671 8+A1 F48A067964896C1 84D*1 JD9C01 F:%E31 406798+1;'< 18+A17AF6CD8988A19D84CFA148791

;<17A#A4A18+A14AD16.18+A1A7FA841D4FA1E1?-9ACD96C41A7FA841D4FA1AA49C9C01 67A1 8+4C1 B7H1 6.1 8+A1 86841 #4794CFAC1 7AD8A1 .761 8+9D1 4C4D9D1 2+9D1 A7FA841 D4FA1 14D1

#4948A1D9C0141497A1F6479D6C18AD81(6718+48176DA 1'1D6CD11A7A1DAAF8A1.67141497A1 F6479D6C16.1D99479814F+1F4DD114D17A7ADAC8A151!1D6CD 1AFA81D6C1'18+48114D141 F4DD1 51 98DA.1 F899ACD96C41 DF49C01 A:%E31 ;'<C1 6.18+A19C9#9419D84CFA14879FAD1 7A#A4A1 41 ?-9ACD96C41 A7FA841 D4FA1 #A71 F6DA1 .761 8+A1 6CA1 65849CA1 .761 F48A067964896C148414C1A49C9C0167A18+4C1B"H16.18+A186841#4794CFA12+A19ACD96CD11A7A1 7ADAF89#A1 7A48A1 861 DAF8741 FAC87A1 6.1 074#981 A)'* 1 1 &

1

K17B'LLLC 1 6CADD1 A+ 1

&

1

K17'2LLLC14C1760+CADD1A& 1&

1

K17G2LLLC16C19..A7ACFAD1A1861D87F8741#479459981

1A7A1A7FA9#A1518+A1D6C18957A1A)'* 1&C14C1A#A1A+C

1

(7)

1 &

4 CONCLUSIONS

2+A1 A7FA841 84D*1 6.1 F48A067964896C1 AC45A1 861 A8A79CA1 8+A1 68941 4789896C1 6.1 8+A1 D89D1 DA81 2+9D1 4789896C1 4A1 6DD95A1 861 9A948A1 9AC89.1 8+A1 F6C.D96CD1 671 DA474896CD19C18+A1D6C1DA818+4811A7A1F4DA151D87F8741#479459981C1671F4DA19814A47A1 8+481 8+A1 9..A7ACFAD1 5A81AAC1 8+A1 #4796D1 8AD1 6.1 D6CD1 1A7A1 8661 470A1 861 F7A48A1 F6C.D96C1 F4DA1 51 D87F8741 CFA7849C81 A#A78+AADD 1 D5F4DDAD1 4A47A1 198+9C1 8+A1 7AA.9CA1 8AD1 6.1 D6C1 1+9F+1 D+61A1 8+481 9D8ACA7D1 9AC89.9A1 9..A7ACFAD1 9C1 8957A1 46C01 8+ADA1 65/AF8D1

1

2+A1 A7FA841 D4FA1 6.1 D9947981 F61 5A1 65849CA1 1+AC1 874CD.679C01 9C9#941 4789896CD19C86141A4C19D84CFA1487912+481A7FA841D4FA176#A18615A1F6CD9D8AC81198+18+A1 6CA165849CA1198+19C9#9419D84CFA14879FAD16CD11A7A19D89C09D+A1518+A9718957A14C1 A#A1

1

811615A19C8A7AD89C01861418+481A8+616C1D6CD1A988A1517A4176F8D1861D818+A1 A#6896C16.1D6C149816#A71414CA16.119CD879419AC89F4198AD11

1

REFERENCES 1

;2<1 F1186A414C1)1$1A7C+47 14B4794896C16.1D87F874-4F6D89F41F+474F8A79D89FD16.1 486689#A1#A+9FAD 5169DA1%6C8761C01$1@@A!C 1'?-'' 12''&1

;!<1 1 =>7+40AC1 4C1 $1 9C8 1 4B4794896C1 6.1 #A+9FA1 B31 76A789AD1 A1 861 F66CAC81 A90AC.7AACF1D+9.89C014D9F1998D16.17A9F845998 51E194A71'"2?7! 12''"1

;?<1 1FFE4D 1E1%+490CA14C1B1)6DD479A 142+A1DF+6AF+4C9FD16.1D948A1D6C1 D67FAD1I1F48A794176A789AD16.194F8A1547D 51$1EF6D816F1E122"A?C 12?7&-2?!7 1

!77@1

;@<1 $1 (47A1 4C1 %1 F479D-(4#7A 1 49A7FA841 4DDDADDAAC81 6.1 D87F8741 474A8A7D1 9C.ACFA1.67141749489C0148A 51EF841EFD81JC98A1EF1'2A2C 1GG-'7 1!77"1

;"<1 B186A+14C1194796A8 149A7FA841%6CDAACFAD16.187F8741JCFA7849C89AD51(671 EFD89F 14AD8 13C047 1!77"1

;&<1 (1 =68 1 F1 %4D8AAC061 4C1 1 (457A 1 4M8A1 A1 41 F480679D4896C1 NC1 F67D1 A1 5798D1 6AD89AD 51 %+41!1 9C7 '2A,BC2ACD6 5A6 DCACD6 -6 56 426 5B5ACD6 26 ECB#6A98A151:1:569D1A89 19479D 12''GC1

;G<1 OF1 )4C 1 4E5/AF89#A1 F798A7941 .671 8+A1 A#44896C16.1FD8A79C01A8+6D 51.86/86)A2A86 /81&& 1B@&PB"7 12'G21

;B<1 3135A7814C191E7459A 14%6479C014789896CD 51.86'42C81! 12'?P!2B 12'B"1

;'<1 O1 2670A7D6C 1 4F899ACD96C41 DF49C01 I1 1 8+A671 4C1 A8+6 51 0F5ABC21 2GA@C 1@72P@2' 12'"!11

;27<1 1O9CD5A7014C1$:1%4776 14E14D9-C6CA879F1A8+61861899ACD96C41DF49C01

#9414C1A8ACA1AF9A4C16A 510F5ABC21"@ 1!2GP!!' 12'B'1

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