Issledovanie Sposoba Formirovania i Obrabotki s (1)

30

SIMULINK

2009

2

621.391:519.27 2010/2011 .

30

SIMULINK

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21.01.2010 .

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1.

-

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.

.

.

2.

2.1

1. [1],

.

2. , -

.

3. 1

. :

N = N, N - , N -

.

4. 1 2 : 1)

OFDM SAMPLET ; 2) -

1_SAMPLET 2_SAMPLET Bernoulli Binary PN Sequence Generator -

; 3) OFDM OFDMN ; 4)

OFDM OFDMN . ; 5)

DFmax . OFDMmodel -

.

5. ,

OFDMmodel (. 2, 3 [2]).

6. -

. -

:

- ;

- ; -

;

- ;

-

OFDM;

- -

.

4

1.

N

F []

-

S

[/]

f

[]

[] V

[/c] [] []

SNR

[]

1 100 16 5 [0 160] [-2.6 -20] 25 -54 40 15

2 20 64 10 [0 800] [-1 -20.5] 25 -52 40 20

3 40 16 2 [40 400] [0 -20] 25 -50 50 25

4 20 4 8 [0 100 800] [0 -10 -30] 25 -48 50 10

5 40 16 6 [20 400] [-1.5 -20.5] 25 -46 20 5

6 100 64 5 [0 10 160] [-1 -13 -30] 20 -54 20 15 7 100 16 10 [0 160] [-4.9 -25.1] 20 -52 30 20 8 40 64 2 [0 400] [-2 -20] 20 -50 30 25 9 20 16 8 [100 800] [-1 -20] 20 -48 10 10

10 40 4 6 [0 20 400] [-1 -20 -30] 20 -46 10 5 11 20 16 5 [100 800] [-2 -30] 15 -54 30 15

12 100 64 10 [0 160] [-2 -30] 15 -52 30 20

13 20 16 2 [0 800] [-2.6 -20] 15 -50 50 25

14 100 64 8 [0 160] [-1 -20.5] 15 -48 50 10

15 40 16 6 [0 400] [0 -30] 15 -46 20 5

16 100 64 5 [0 40 160] [0 -20.5 -30] 10 -54 20 15

17 40 4 10 [10 400] [-1.5 -20.5] 10 -52 40 20

18 20 64 2 [0 50 800] [-1 -9.5 -30] 10 -50 40 25

19 40 16 8 [0 400] [-4.9 -25.1] 10 -48 10 10

20 100 64 6 [0 160] [-2 -20] 10 -46 10 5

21 20 16 5 [10 800] [-1 -20] 5 -54 30 15

22 20 4 10 [0 50 800] [-1 -5 -30] 5 -52 40 20

23 100 16 2 [5 160] [-2 -30] 5 -50 50 25

24 100 64 8 [0 10 160] [0 -8 -30] 5 -48 10 10

25 40 4 6 [0 400] [0 -30] 5 -46 20 5

. 1 :

F - , , []; - - ;

V - (), [/];

- - , []; - , []; SNR - , [];

S - , [/];

f - , [];

- , [].

:

R = 3/4 - ;

0f = 5.25 - ;

N = 48 - , ;

N = 4 - -.

5

1:

2.2.

1. MATLAB OFDMmodel.mdl, -

SIMULINK c OFDMmodel.

2.

1, -

(

):

) Bernoulli Binary Sample Time

1_SAMPLET Samples per frame OFDMN . ;

) Matrix Interleaver Matrix Deinterleaver -

Number of rows Number of columns , -

OFDM ( OFDMN );

) Rectangular QAM Modulator Baseband Rectangular QAM Demodu-

lator Baseband M-ary number -

1;

) Gain Normilize Gain -

1/sqrt(2) 4-, 1/sqrt(10) 16- 1/sqrt(42)

64-, Gain Denormilize Gain

sqrt(2) 4-, sqrt(10) 16- sqrt(42) 64-

;

) PN Sequence Generator OFDM Transmitter Channel Es-

timation and Compensation Sample Time

2_SAMPLET ;

) Multipath Rayleigh Fading Maximum

Doppler shift DFmax ( DFmax -

), Delay vector ( , [0 10] [0 10-9]) Gain vector

; ) AWGN Channel1 SNR -

1;

) Phase Noise Phase Noise Level S;

) Phase/Frequency Offset Phase offset

, Frequency offset f .

3.

,

( ) .

4. Switch1, Switch2, Switch3 Switch4 ( -

)

( AWGN Channel1); ,

.

5. Simulation Start

Transmitted Binary Signal, Received Binary Signal, Transmitted Signal,

Received Signal, Received Signal After Channel Compensation, Transmitted Spectrum

Received Spectrum :

) , - ;

6

) , - ;

) .

6. Switch1, Switch2, Switch3 Switch4

( Multipath Rayleigh Fading)

(AWGN Channel2); , -

.

7. 5, 5 5 .

8. Switch1, Switch2, Switch3 Switch4 -

, ( Phase Noise)

.

9. 5 5 .


, (

Phase/Frequency Offset Frequency offset ).

11. 5 5 .


, (

Phase/Frequency Offset Phase offset , Fre-

quency offset f ).

13. 5 5 .

2.3. , -

:

-

;

-

.

2:

2.4.

1. MATLAB

, 1.

SIMULINK c OFDMmodel.


( AWGN Channel1); , -

.

3. SNR AWGN Channel1 (SNR =0, 5, 10, 15),

, BER ( -

610 ).


( Multipath Rayleigh Fading)

( AWGN Channel2); ,

.

5. SNR AWGN Channel2 (SNR =0, 10, 20, 30,

40, 50), , BER (

610 ).

7


; .

7. Phase Noise Level Phase Noise (-30, -40, -50, -

60), , BER ( -

610 ).

2.5. , -

:

- -

;

- -

;

- .

3.

3 :

1.

(. .6 2.1);

2. 1

(. 2.3);

3. 2

(. 2.5).

4.

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OFDM ,

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OFDMmodel. -

OFDM .

SIMULINK,

MATLAB.

SIMULINK MATLAB. -

SIMULINK -

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SIMULINK. -

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Sample Time .

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3105 35 e ). .

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OFDM .

6. OFDM ,

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OFDM ?

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OFDM .

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13. OFDM ?

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1. .., .., .. -

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9

1

OFDM

OFDM -

. :

1,...,0,1 1

0

1

2

NkeAN

SN

n

nkN

j

nk

,

N - , OFDM , nA -

, 1,...,1,0 Nn - , 1,...,1,0 Nk -

OFDM . -

OFDM -

.

OFDM ST -

4 . =max, ST =4 max.

OFDM f -

STf /1 .

F - fFN / .

.1. OFDM

OFDM -

NTT SSAMPLE / .

/

S TT . 4/.. TT .

SAMPLE TTN /.... . -

OFDM .. TTT .

OFDM OFDMN

N .N :

)(log2. KAMMN , .NNN OFDM .

OFDM

OFDMOFDM RNN . .

() -

-

10

. .

.

- , -

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)cos(0

VfF D

DF - , ;

0f - , ;

V - , /c;

- , /c;

- .

1)cos( ,

VfF D 0max .

2

OFDMmodel

Bernoulli Binary , -

{0, 1}.

0 , 1 , 110 . 0

Probability of a zero, 0.5.

: -

OFDM ,

Sample Time

OFDMSAMPLESAMPLE NNNTT ...1_ /)( ( SAMPLET - , ..NN

- OFDM , OFDMN . -

OFDM ) Samples per frame OFDMN . . -

-

.

Convolution Encoder . , -

. -

, , -

. Trellis structure,

, -

7 133 171 ( -

). R . = 1/2, ..

. Operation mode

: , ., -

.

Puncture vector, .

Puncture , . -

, .

,

11

. Puncture vector

[1 1 0 1 0 1] (0 , ). -

.

Matrix Interleaver .

, -

, .

. -

, .

Number of rows

Number of columns .

Rectangular QAM Modulator Baseband .

( M-ary number). Normalization

method , -

Min. Distance between

symbols. Minimum distance,

, 2. -

( Constellation ordering) . -

Input type, Bit.

Output data type, -

double. Phase offset .

Normilize , .

-

. 4-

2/1 , 16- 10/1 , 64- -

42/1 . Gain, Gain

; Multiplication ,

Element-wise(K*u).

OFDM Transmitter ,

OFDM .

: Multiport Selector, Matrix Concatenation, Zero Pad, IFFT, Add Cyclic Prefix, PN

Sequence Generator, Unipolar to Bipolar Converter. Multiport Selector

6 - 1:5, 6:18, 19:24, 25:30, 31:43, 44:48

. Matrix Concatenation

, ,

- .

Zero Pad , , 53

64 . -

. IFFT , -

OFDM . ,

64 .

OFDM -

. Add Cyclic Prefix 16

. , 80

OFDM . , -

. , -

- PN Sequence Generator

Unipolar to Bipolar Converter. PN Sequence Generator -

12

, Sample Time )( ..2_ SAMPLESAMPLE NNTT .

Unipolar to Bipolar Converter -

.

AWGN Multipath Rayleigh Fading ,

. Multipath Rayleigh Fading

: Maximum Doppler shift, Delay vector Gain vector. Max-

imum Doppler shift -

, . Delay vector -

. Gain vector

. AWGN : Mode

, SNR; SNR - -

;

Input signal power, 0.01 .

Phase Noise

. Phase Noise Level - -

/ Frequency Offset .

-

. , ,

.

1 ,

( - 1 ), 1-

.

Phase/Frequency Offset -

. -

Phase offset. Frequency offset.

OFDM Receiver , -

OFDM .

: Remove Cyclic Prefix, FFT, Remove zero-padding and

reorder, Select Rows. -

OFDM Transmitter.

Channel Estimation and Compensation ,

-,

OFDM , -

OFDM .

: PN Sequence Generator, Unipolar to Bipolar Converter, Select Rows,

Matrix Concatenation, Complex to Real-Imag, Real-Imag to Complex, Interpolation,

Product.

Denormilize - ,

Normilize.

Rectangular QAM Demodulator Baseband .

Matrix Deinterleaver . -

,

Matrix Interleaver.

Unipolar to bipolar converter -

, .

Viterbi Decoder . -

, .

13

Error Rate Calculation

. Display. -

, -

.

14

3

.2. - OFDMmodel

15

4

IEEE 802.11 HiperLan

.3,

IEEE 802.11 HiperLan.

i ,

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B , -

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D , ,

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E ( -), ,

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16

2 D E

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1 0 0 0 -2,6 0 -3,3 0 0 0 -4,9

2 10 -0,9 10 -3 10 -3,6 10 -10 10 -5,1

3 20 -1,7 20 -3,5 20 -3,9 20 -10,3 20 -5,2

4 30 -2,6 30 -3,9 30 -4,2 30 -10,6 40 -0,8

5 40 -3,5 50 0 50 0 50 -6,4 70 -1,3

6 50 -4,3 80 -1,3 80 -0,9 80 -7,2 100 -1,9

7 60 -5,2 110 -2,6 110 -1,7 110 -8,1 140 -0,3

8 70 -6,1 140 -3,9 140 -2,6 140 -9 190 -1,2

9 80 -6,9 180 -3,4 180 -1,5 180 -7,9 240 -2,1

10 90 -7,8 230 -5,6 230 -3 230 -9,4 320 0

11 110 -4,7 280 -7,7 280 -4,4 280 -10,8 430 -1,9

12 140 -7,3 330 -9,9 330 -5,9 330 -12,3 560 -2,8

13 170 -9,9 380 -12,1 400 -5,3 400 -11,7 710 -5,4

14 200 -12,5 430 -14,3 490 -7,9 490 -14,3 880 -7,3

15 240 -13,7 490 -15,4 600 -9,4 600 -15,8 1070 -10,6

16 290 -18 560 -18,4 730 -13,2 730 -19,6 1280 -13,4

17 340 -22,4 640 -20,7 880 -16,3 880 -22,7 1510 -17,4

18 390 -26,7 730 -24,6 1050 -21,2 1050 -27,6 1760 -20,9

17

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SIMULINK

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04.11.2009. 6084/16. .

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Issledovanie Sposoba Formirovania i Obrabotki s (1)

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