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ETC.
Video
qualityComplexity
video
Broadcast or
interactive
solution
Bit rate
Error
resilience
Delay
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Chapter 1
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()
()
1
B
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R( )=NoB.sinc( 2 B )
2B
1
0f
NB(f)
0 B-B
No2
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0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0p
0.0
0.2
0.4
0.6
0.8
1.0
H(p)
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Yes
Sort source symbols in
No
Derive subgroups of
near-equal probabilities
Assign zero & one to top and
bottom branches, respectively
one symbols are in
subgroups ?
More than
Stop, output encoded symbols
descending order of probabilities
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Merge two of the lowest prob.
symbols into one subgroup
Assign zero & one to top and
bottom branches, respectively
Is there
more than one un-
merged node ?
Yes
Stop, read transition bits on the branches
from top to bottom to generate codewords
Arrange source symbols in
descending order of probabilities
No
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S0=0.27
S1=0.20
S2=0.17
S3=0.16
S4=0.06
S5=0.06
S6=0.04
S7=0.04
01
0.27
0.20
0.17
0.16
0.08
0.06
0.06
01
0.27
0.20
0.17
0.16
0.12
0.08
01
0.27
0.20
0.20
0.17
0.16
0
1
0.33
0.27
0.20
0.20
01
0.40
0.33
0.27
01
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& %
X
1
X
2
p
1 2
= P ( X
2
= X
1
)
' $
P ( X
1
) P ( X
2
)
p
1 1
= P ( X
1
= X
1
) = 1 ; P ( X
2
= X
1
)
p
2 2
= 1 ; P ( X
1
= X
2
) = P ( X
2
= X
2
)
p
2 1
= P ( X
1
= X
2
)
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p =0.234
p =0.433
p =0.244
p =0.211
p =0.843
p =0.432
p =0.423
p =0.422
p =0.812
p =0.221
4
1 2
3d
a
p(4)=0.1
c
P(3)=0.4
a
d
c b
b
P(2)=0.4b
c
P(1)=0.1
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$RCSfile: gofl.gle,v $
0 2 4 6 8 10 12 140.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
g()=p(1-p
)
p=0.9p=0.1
$RCSfile: cdfgofl.gle,v $
0 2 4 6 8 10 12 140.0
0.1
0.2
0.3
0.4
0.5
0.60.7
0.8
0.9
1.0
CDF
ofg()
p=0.9p=0.1
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$RCSfile: bsc-performance.gle,v $
0.0 0.25 0.5 0.75 1.0
P(1)
0.0
0.25
0.5
0.75
1.0
P(1,1
)
pe=0
pe=0.5
pe=0.25pe=0.125
pe=0.375
0.0 0.25 0.5 0.75 1.0
P(0)
0.0
0.25
0.5
0.75
1.0
P(0,0
)
pe=0
pe=0.5
pe=0.25pe=0.125
pe=0.375
0.0 0.25 0.5 0.75 1.0
P(0)
0.0
0.25
0.5
0.75
1.0
P(1,0
)
pe=0.125
pe=0.5
pe=0.25pe=0.375
0.0 0.25 0.5 0.75 1.0
P(1)
0.0
0.25
0.5
0.75
1.0
P(0,1
)
pe=0.125
pe=0.5
pe=0.25pe=0.375
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$RCSfile: bsc-capacity-vs-pe.gle,v $
10-4
2 5 10-3
2 5 10-2
2 5 10-1
0.2 0.5 1
pe
0.0
0.2
0.4
0.6
0.8
1.0
C=1
+(1-pe
)log2
(1-pe
)+pe
log2pe
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$RCSfile: graph-representation-shannon-hartley-law.gle,v $
0 2 4 6 8 10 12
fB [KHz]
0
50
100
150
200
C=
fBlog2
(1+S/N)
[Kbit/s]
10dB
20dB
30dB
40dB50
dB60
dB80
dB100dB
150d
B
200d
B
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$RCSfile: snr-vs-fb-for-shannon-hartley-law.gle,v $
0 2 4 6 8 10 12 14
fB [Hz/KHz/MHz]
0
50
100
150
200
250
300
350
400
450
500
S/N
[dB]
C=fB log2(1+S/N) [bit/s] for fB in Hz
C=fB log2(1+S/N) [Kbit/s] for fB in KHz
C=fB log2(1+S/N) [Mbit/s] for fB in MHz
C=50
C=100
C=200
C=400
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Chapter 2
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2
6
7
5
4
2
3
6
1
5
4 2
3
6
7
1
5
4
2
3
6
7
1
5
4
2
3
6
7
1
5
4
2
3
6
7
1
5
4
2
3
6
7
1
5
4
2
3
6
7
1
5
4
2
3
6
7
1
5
4
2
3
6
7
1
5
4
1
3
7
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1.5 2 2.5 3 3.590
100
110
120
130
140
150
160
PATH-LOSS REGRESSION
Log. of Distance from BS (m)
Path-loss(dB)
Measured Hata Regression
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fading-mag-ph.gle
0.0 0.25 0.5Time (s)
-40
-20
0
20
Rayleigh magnitude (dB)
0.0 0.25 0.5Time (s)
-200
0
200
Rayleigh phase (Deg.)
0.0 0.25 0.5Time (s)
-40
-20
0
20
Ricean k=0dB magnitude (dB)
0.0 0.25 0.5Time (s)
-200
0
200
Ricean k=0dB phase (Deg.)
0.0 0.25 0.5Time (s)
-40
-20
0
20
Ricean k=3dB magnitude (dB)
0.0 0.25 0.5Time (s)
-200
0
200
Ricean k=3dB phase (Deg.)
0.0 0.25 0.5Time (s)
-40
-20
0
20
Ricean k=6dB magnitude (dB)
0.0 0.25 0.5Time (s)
-200
0
200
Ricean k=6dB phase (Deg.)
0.0 0.25 0.5Time (s)
-40
-20
0
20
Ricean k=12dB magnitude (dB)
0.0 0.25 0.5Time (s)
-200
0
200
Ricean k=12dB phase (Deg.)
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DIRECTION OF MOTION
INCIDENT
WAVES FROM
DISTANT BS
A Bd
l
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S(f)
0-fm fm
S(f)
0-fm fm
2
MAGNITUDE
PHASE
RAYLEIGH
AWGN
AWGNn (t)
n (t)I
Q
R
I
Mag.=SQRT[I + R ]2
Phase=arctan(I/R)
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