Video Book Ch1 3+5

8/3/2019 Video Book Ch1 3+5

1/177


2/177


3/177


4/177


5/177


6/177


7/177


8/177


9/177


10/177


11/177


12/177


13/177


14/177


15/177


16/177


17/177


18/177


19/177

ETC.

Video

qualityComplexity

video

Broadcast or

interactive

solution

Bit rate

Error

resilience

Delay


20/177


21/177


22/177


23/177


24/177


25/177


26/177


27/177


28/177


29/177


30/177

Chapter 1


31/177


32/177


33/177


34/177


35/177

()

()

1

B


36/177


37/177

R( )=NoB.sinc( 2 B )

2B

1

0f

NB(f)

0 B-B

No2


38/177


39/177


40/177


41/177

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)


42/177


43/177


44/177


45/177

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


46/177

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


47/177


48/177

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


49/177


50/177


51/177

& %

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

)


52/177


53/177


54/177


55/177

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


56/177


57/177


58/177


59/177


60/177

$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


61/177


62/177


63/177

$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


64/177


65/177


66/177


67/177


68/177


69/177


70/177


71/177


72/177


73/177


74/177


75/177


76/177


77/177


78/177


79/177

$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


80/177


81/177


82/177


83/177


84/177


85/177


86/177

$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


87/177

$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


88/177


89/177


90/177


91/177


92/177


93/177


94/177

Chapter 2


95/177

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


96/177


97/177


98/177


99/177


100/177


101/177


102/177


103/177


104/177

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


105/177


106/177


107/177


108/177

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


0.0 0.25 0.5Time (s)

-200

0

200


0.0 0.25 0.5Time (s)

-40

-20

0

20


0.0 0.25 0.5Time (s)

-200

0

200


0.0 0.25 0.5Time (s)

-40

-20

0

20


0.0 0.25 0.5Time (s)

-200

0

200



109/177


110/177

DIRECTION OF MOTION

INCIDENT

WAVES FROM

DISTANT BS

A Bd

l


111/177


112/177

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)


113/177


114/177


115/177


116/177


117/177


118/177


119/177


120/177


121/177


122/177


123/177


124/177


125/177


126/177


127/177


128/177


129/177


130/177


131/177


132/177


133/177


134/177


135/177


136/177


137/177


138/177


139/177


140/177


141/177


142/177


143/177


144/177


145/177


146/177


147/177


148/177


149/177


150/177


151/177


152/177


153/177


154/177


155/177


156/177


157/177


158/177


159/177


160/177


161/177


162/177


163/177


164/177


165/177


166/177


167/177


168/177


169/177


170/177


171/177


172/177


173/177


174/177


175/177


176/177


177/177

Documents

Video Book Ch1 3+5