use of double layer beamforming antenna to identify and locate noise

ABSTRACT. Beamforming microphone antenna has been widely used to locate sound sources and build acoustic model. The particularities of this technique are ...
1MB taille 3 téléchargements 215 vues
USE OF DOUBLE LAYER BEAMFORMING ANTENNA TO IDENTIFY AND LOCATE NOISE SOURCES IN CABINS

!

"#

" !

$

$ !

' "

%#$ (

%& ()

"

!

ABSTRACT & '( ' # ' !) ) * + ' , -) ! ( ) ) ) ( +( * ' ( ' !) '! ( ) # ! #, % ) ) ( + ,& ' ) ! *( +, " ! ( ) %) ) ) !! ) ( ( ) ! . + + %) . ( ) / ,0 * %( ) ( %) # + * # ) ) ( % # (( 1! ) , " ) ! ! % . + ' !) * + (' !) + ( ' !) + ( + !! 1 ' , -) ' ) ) ! ! + (' ' # ) * ) +2! ' +3 # 2 3 (+ * ( ( ' , " )* )* ! # ' ) ' ) ( ) + * ! ) *) ) ' ( ' * ( ' + 4 # % # / , ) * ( ) , ' ' ' . ' ' ) ( ) ) ,

566 %- '!

1

%7

8

.

3

8 #.7 #

INTRODUCTION -)

( + ( , 2 ( ) ) ) .( 0 # !)+, ) ) '( ' # &7 %*) ) ' (' !) ! ( ) / ( ! , -) ! ! * ! ) !! ( '( ' # , -) ( ) + ) %4 * 9 +. . ' '( ' # 9 : ;% ! ) * # )%*) ) &7 * ( +, 2) ) ;, +% . ! '( ' ) + ' ) # # !! , ' * ) 9 '( ' # . ! '( ' ! ! ) , + 2! ' +3 # 2 3 # )' %*) ) ! ' +) ! #( ( #/ * ) # ! (' ) ( ! ( ) ! ! ," )* ) ) + '! *( + +) ) , + ) ! +'' +* ) ! ) +! ," ) # !)+%! ' ( ! # ) ( ? 4 + # . + ( ' !) :@;, ) '! + ! 7 ( ' ! ! * + *) ) % ) +% ! ) * ' * ) ! ! # , -) !! ) * 4 * ) '( ' # ) ! + * ) ' ) + # ( , '! +. (( !! ): ; ' ) ) + ! * ' *) # ) ( 4 ! ( ) , 7 ) # %* '! ( ) '! / % ( '' ' ( ) ! ) % ) ( ' ! +' ' , + ( ' !) * ) ! + +( . (( !! 1 ' , ' + )+ # (' !) (! +, 2

) '!

(

+) + )

'

) (

THE SOAP ALGORITHM (

( )

+ " = ω 5π % ) '! '! 1 ! ! +

( ' *

*)

' ( ) )

%) *

# ) (

+

=

( ' )

( )

+

) 0 ' !

'

*

!)

) '

5

! !)

! ( )

) +,

)

( .( '

(

566 %- '!

%7

8

1!(− -., ! ) , ! %* ) , ! ) (

)

.

3

( ' ) =

+

'

) ' *

(

=

8 #.7 #

!,

!)

+

),

+

5

" ) (& ! #% = # ( ) %*) ) * #) # A .& %& 4' % , ( # ) + , -) + 2! ' +3 # 2 3 ! ) # ) 2 0 # )' ! +0 ( ) # !)+ :B;, &+ 4 * ! # ' 1 %) ' ( ) 1!

0

#% (

# +C

=

-) ' ( 1!

)

/

×

×

, &+

' 1 * ))

1 (! =

, -)

×

) '

)

#

/

! '



! *

)

'

+ +) C

# (

# +

×

[

+

)

]

! + = %) !

'

/

=

+

(

+, -)

) '





! (+ ) ' ( !

' + ) ' × *) ) % ( % ) * + =[

' . ! '

%(

Ω # + , 7 ) # %* ( ) ' ,

'!

'

=

β

( *)

=

!

) '

!

)

#

'

(

# *) ) ) ( (

1 ! (

!

)

! '

(! ( ) +

=

+

)

#

= #

+

+

1

( +'

#

% 1

]%

+

,

>

. . ,

, -) '! !

( ' )

(( * )

( (

'

/

),

@

" ) ( * . ) (9 # ' + , 6,6E ' , -) ' ( ' )

# 1 '! %# ) ' !) # , -) # . >6 &, 2 7 #, % ) ( 2 3 '( ' '! * ) '( ' & ! ( ) ( >D ' !) *) ! ' , -) ' !) ! # ) (* # ) 56B5 0/ ( # ' Ω # ( × ! ( 5'×5' , -) ' ) 2 3 ! ' ) ' , -) ! ) 1 ( ) ! * ) + ' # ( @ &, " )* ) ) ' ) 2 3! *( +( ," ( %) ) #+ ! ( ) ( β *) ) ! ( ) # . . , "( β >>

(

+

)

%) 2 3

'( '

) &

'( ' ,

566 %- '!

%7

8

250 Hz

&$, 0

3

500 Hz

"*

) !" !

.

3

8 #.7 #

1000 Hz

1 02

/

) !" !

2000 Hz

1)

!2

" 3

4

DOUBLE LAYER PROCESSING

3.1 Beamforming from particle velocity measurements "( ) , -) '! # +

@

( +)

! ( )

) ' '

5! =

θ!

*) ) ) (

)

#

,7 . ((

)

. ) +)

( '

− -., !

ρ6

θ!

((

+ (' ' ) F = -(

*) ) * 1!

5! =

!

5

+ , (

ρ6



5

'

(

θ ! , ! − ∆5

'! ( )

)

θ! ,! 5

) >

(. .

'

'

F

%)

) (ρ 6

+,

% ., ! ( '

+

.∆ ) %

B

) + ,∆ ) ( . (( ' C

− -., ! 5

+ :D;% ) ( ) ! *)

#!

!)

+! # ) ( )

(



,!

+)

( !! 1 '

) ! '

θ ! ∆ 5) θ !∆ 5



-

) !! 1 '

(.

θ ! ∆ 5) ., !

* %)

,

E

566 %- '!

%7

8

.

3

8 #.7 #

3.2 Evaluation of source power distribution on each side of the antenna -)

!

( )

+

!

*

# ) ' ) 2 3 *) ,B 4 # ) 1!

F !

,@

# # '

'

( )

'

5 0

+) ! '

*

%*) ) ' +%

(6 , 0 * ) '! ! 6 ,7

* ' # ) ( ' ) *

, ( )

6 = 5π ) * 1!

{

# ( % , @

, -) ! *

5

( )

ρ6 ,

D

*

# (

∗ 0

% ( ) ( ) ) ! +'' +%* ( * #! *

= (6 0 + 6 ) ( )

) > +6

5



6

) ! *

# !)+ ( ) ' *) )' + , ( '

! "

4

C 6

( ) , "( * ! )

= (6 0 + 6 (

!

) > −6

1 3 :$ 2 9 5 5 ) . " 5

@

)* 7 #, *) ) * '

, 6 * ) ) ! %)

5

? ) 4 ( ) +) 7 #, ,

Wu

" 0 9 " 5

'

( )

,

+% ) ( ) * ) '

6

Wp

" 5 8

0

, &+ , E

' # ) ) ( ) ! * ( ) ( * ( 6 'G 66 & ! ) * ! ) ! , -) ! * ) ! ) + 60 6 %*) ) ) (

6(

& 7 " ! 5

'

'!

ρ6

6 = 5π -) '! 5 ( ) +'' # )

) ! (

( ) !)

! 6 0 = 5π

" :B;% * ) ( )

) '!

+ ' #

WI

0 0

3 1" ; $ +