use of double layer beamforming antenna to identify and locate noise

Other techniques called "high resolution" use the cross-spectral matrix of signals ... vector h between the focalisation point and the microphones of the array.
1MB taille 1 téléchargements 216 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" ; $ +