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TRANSCRIPT
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( ) { ( ) ( ) ( ) ( )
( ) ( ) ( ) ( )
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13
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( )
( ) ∑| ( )|
∑ ( )
( ) ( ) ( )
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( ) { ( ) ( ) ( ) ( )
( ) ( ) ( ) ( )
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( ) ( ) ( )
( ) ( ) ( )
( ) { ( )
( )
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( )
( ) ( ) ( )
( ) ( ) ( )
( ) {
( )
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( ) ( )
( ) ( )
( ) ( )
( ) ( ( )
( ))
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{
( ) ∑ ( ) ( )
∑ ( ) ( )
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( ( ) ( )
( ) ( ) ( )
( )
( )
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Pr(X=1)
H2(X
)
Probability distribution of binary entropy
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0 2 4 6 8 10 12 14 16 18 200
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1Binary average value of bits in feature vector (0,5 = maximum entropy)
bit number
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Correlation matrix of bits in feature vector
2 4 6 8 10 12 14 16
2
4
6
8
10
12
14
160
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
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)
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∑ ( )
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∑ ∑ ( )
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( ) ⟨ ( ) ( )⟩
15
( )
( )(
)
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P S D P S D P S D P S D P S D P S D
370 3071 3308 3160 2617 2586 2649 2697 1822 2840 588 541 533 493 327 431 509 325 443
200 4258 4241 3847 3845 3509 3440 5229 3822 6050 1203 989 882 1034 627 809 1058 653 867
5511 4812 4308 5208 4167 4050 10541 7555 12043 2193 1706 1538 1990 1213 1493 2097 1278 1608
50% 4287 3601 2764 4205 3217 2727 7775 5618 7085 1705 1253 961 1668 1003 1072 1687 1011 1068
32 6941 5820 5161 6691 5351 4942 22598 20492 26519 4839 3287 2955 4538 2827 3008 4778 2948 3211
10 16 4890 4872 4705 4623 4269 4456 5418 4226 6593 1240 792 881 1151 584 818 1204 604 895
add speech +
multiband companding
BP + add speech +
multiband compandingMP3
MP3 + multiband
companding
BP + singleband
compandingadd speech
0%
Audio
length
(sec)
20
100
0%
16
Misalign-
ment (% of
hop size)
Bark
spectral
subbands
window
size
(ms)
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0
5000
10000
15000
20000
25000
30000
MP3 MP3 +multiband
companding
BP +singleband
companding
add speech add speech +multiband
companding
BP + addspeech +
multibandcompanding
KL2
dis
tan
ce
Degradation
16 vs 32 bands
Philips
Symmetric Single Derivatives
Double Derivatives
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0
2000
4000
6000
8000
10000
12000
14000
MP3 MP3 +multiband
companding
BP +singleband
companding
add speech add speech +multiband
companding
BP + addspeech +
multibandcompanding
KL2
dis
tan
ce
Degradation
0% vs 50% misalignment
Philips
Symmetric Single Derivatives
Double Derivatives
0
2000
4000
6000
8000
10000
12000
14000
MP3 MP3 +multiband
companding
BP +singleband
companding
add speech add speech +multiband
companding
BP + addspeech +
multibandcompanding
KL2
dis
tan
ce
Degradation
100 vs 370ms window
Philips
Symmetric Single Derivatives
Double Derivatives
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0
2000
4000
6000
8000
10000
12000
14000
MP3 MP3 +multiband
companding
BP +singleband
companding
add speech add speech +multiband
companding
BP + addspeech +
multibandcompanding
KL2
dis
tan
ce
Degradation
20 vs 10 seconds of audio
PhilipsSymmetric Single DerivativesDouble Derivatives
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1,00
1,20
1,40
1,60
1,80
2,00
2,20
MP3 MP3 +multiband
companding
BP +singleband
companding
add speech add speech +multiband
companding
BP + addspeech +
multibandcompanding
Me
an r
atio
Degradation
SHAZAMMASK A0MASK A1MASK A1-32MASK A1-50%MASK B0MASK C0
SHAZAMMASK
A0
MASK
A1
MASK
A1-32
MASK
A1-50%
MASK
B0
MASK
C01,83 2,34 2,10 1,82 1,25 1,92 2,10
1,62 1,96 1,81 1,67 1,23 1,66 1,77
1,39 1,62 1,61 1,94 1,19 1,43 1,49
1,09 1,22 1,18 1,16 1,06 1,17 1,18
1,07 1,13 1,10 1,11 1,05 1,08 1,09
1,05 1,14 1,11 1,12 1,05 1,09 1,10
add speech + multiband companding
BP + add speech + multiband companding
MP3
add speech
MP3 + multiband companding
BP + singleband companding
Degradation
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