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Khảo sát ảnh hưởng của dịch tần đến hệ thống MB-OFDM

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ĐA
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I HO
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C QUÔ
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C GIA HA
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̣
I
TRƯƠ
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NG ĐA
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I HO
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C CÔNG NGHÊ
̣









LƯU VĂN HOAN









KHO ST NH HƯNG CA DCH

̀
N ĐÊ
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N HÊ
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THÔ
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NG MB-OFDM







LUÂ
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N VĂN THA
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C SI
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H Ni - 2011


-OFDM





















































2011









n: 















































-OFDM















: 










: 
: 60 52 70













 : 













- 2011

iv





 i




 ii
T iii
 iv






vi




 viii
 ix
 x

1: 





1.1. 



 - 1 -
1.1.1. 





 - 1 -
1.1.2.  - 1 -
1.1.3.  - 4 -
1.2.  - 5 -
1.3.   - 5 -
1.4. 







 - 6 -

2: 




-OFDM
2.1. 

-OFDM - 7 -
2.1.1. 

 - 7 -
2.1.2. 









 - 8 -
2.1.2.1. 

- 9 -
2.1.2.2.  10 -
2.2.  12 -
2.3. 





 14 -

2.4. 









-OFDM 17 -
2.4.1.  18 -
2.4.2.  18 -
2.5. 



-OFDM 



 20 -
2.6. -OFDM 24 -
2.6.1.   30 -
2.6.2.  31 -


v
3: -OFDM
3.1. 














 35 -
3.2. 









 39 -
3.3.  47 -
3.4.  52 -

4: 




 


4.1. 

 54 -
4.2. 



 55 -
4.2.1.  55 -
4.2.2. MIMO Multiband OFDM 55 -

 - 56 -
: g MB-OFDM - 58 -


vi











1.1. 











. - 2 -
1.2. 
















. - 2 -
1.3. . - 3 -
1.4. : (a) 



(b) 

. - 4 -

2.1. 

. - 7 -
2.2. 















. - 8 -

2.3. 





-OFDM. - 9 -
2.4. 



-OFDM. - 9 -
2.5. 







-OFDM. 11 -
2.6. 





-OFDM. 11 -
2.7. 


-



. 13 -
2.8. 









 15 -
2.9. 


















. 16 -
2.10. G. 19 -
2.11. . 21 -
2.12. 1. 22 -
2.13. 2. 22 -
H2.14. 3. 23 -
2.15. 4. 23 -
2.17. 







. 26 -
2.18. = 0.04 % . 27 -
2.19. = 0.5 % . 27 -
2.20. = 1 % . 28 -
2.21. = 0.1%. 28 -
2.22. AWGN khi CFO = 2%. 29 -
2.23. 1 khi CFO = 0.1%. 29 -
2.24. 






1 khi CFO = 2%. 30 -
2.25. . 31 -
2.26. = 0.04%. 33 -
2.27. = 0.1%. 33 -
2.28. = 0.5%. 34 -

3.1. CM1  CM4 

. 36 -
3.2. . 37 -

vii
3.3. 1 









. 37 -
3.4. 2 










. 38 -
3.5. 3 









. 38 -
3.6. 4 









 nhau. 39 -
3.7. 








-

-368 39 -
3.8. 



CP preamble. 40 -
3.9. 



3 1. 41 -
3.10. 



3 2. 41 -
3.11. 



3 3. 42 -
3.12. 




3 4. 42 -
3.13. 











. 46 -
3.14. = 0.04% 0.5%. 47 -
3.15. = 0.1% 2%. 48 -
3.16. = 0.1%, 

(), 




(). 48 -
3.17. m sao trên kênh AWGN khi CFO = 2%, 

(), 





(). 49 -
3.18. 1 





= 0.04% 0.5%. 49 -
3.19. 1 





= 0.1% 2%. 50 -
3.20. 1 khi CFO = 2%, 

(), 



().
50 -
3.21. . 51 -
3.22. , CM1, CM2 


= 2 %. 51 -
3.23. , CM3, CM4 

= 2 %. 52 -
3.24. 

































SNR = 18 dB. 53 -


viii








2.1.  - 8 -
2.2. . 12 -
2.3. 



. 14 -
2.4. . 20 -
2.5.  












1. 21 -
2.6. . 25 -

ng 3.1. . 39 -
3.2. 1. 40 -
g 3.3. 



. 41 -


ix









STT













1
BER
Bit Error Rate

2
CFO
Carrier Frequency Offset

3
CM
Channel Model
Mô h
4
CRLB
 Rao Lower Bound









- Rao
5
DSS
Direct-Sequence Spreading

6
ECMA
European Computer Manufactures
Association















7
FFT
Fast Fourier Transform



8
IFFT
Invert Fast Fourier Transform





9
MAC
Multi Access Control layer







10
MB-OFDM
Multiband OFDM

11
MSE

Mean Square Error







12
OFDM
Orthogonal Frequency-Division
Multiplexing





13
PAM
Pulse Amplitude Modulation



14
PHY
Physical layer








15
PLCP
Physical Layer Convergence
Protocol













16
PPM
Pulse Position Modulation





17
PSDU

PHY Service Data Unit

















18
TFC
Time-Frequency Code
-
19
UWB
Ultra-Wideband
B


20
WPAN

Wireless Personal Areal Network

21
WUSB
Wireless Universal Serial Bus







x
 

.




b


(CFO) 



 




b

b


b
 
arg .


 
.E


(.)Var


(.,.)f


 
Re .




 
Im .










- 1 -


















1.1. 




 g
 (UWB) 





 1960 












, 

























 [1]. 





 (Ultra-WideBand) 






1989 








. 





 1990, 





















.

1.1.1. 

























 


 

 (FCC)  cho UWB. 




, 




















 


n 500 MHz 

 B/f
c
> 0.2, 

B = f
H
 f
L
 -10 


f
c
=(f
H
+f
L
)/2 ; f
H
 f
L






-10 dB 









 [1].







:  3.1 GHz


10.6 

 






 (PSD)  


   1.1. 

, 

  1 MHz






-41.3 dBm. 

1.2, 






 , 








 












.

1.1.2. 
 , 












  




























 cho

   . 
 : 





 ( ), 
( )  

(








 ). 





 



 (


7.5 GHz), 

 






.









   , 


. 

, 














 2

- 2 -




 : 















( 

  WPAN), 











 (,




). 










 , 






















.

1.1. 










 

 [1].



1.2. 















 [1].






















 




( 5 

10 

)  100 


 500 Mbps trong
1.6
1.9
2.4
3.1
5.0
10.6
GPS
PCS
Bluetooth
802.11b
Cordless Phone
Microwave Ovens
802.11a






802.15





(GHz)







- 3 -
 20 m. 

  



 




 (WUSB) 







 (PC)  i,















 , 





























 (1.3).


(a). 













 .



(b). 










,  [22].

H1.3. CWPAN 

.

- 4 -
1.1.3. 

 UWB
,  2 : 


(single-band)  (multiband) [1]. 1.4 





 











(

)  (

).



1.4. : (a) 



(b) 

[1].














i, 




(impulse radio) 



 . 













 , 



 









 (pico second). 








   . 









. 

, 

1 bit thông tin. 
(PAM) 



(PPM). 










 












 (time-hopping) 








 (DSS).  , 








 . 

















. Tuy nhiên, 



























 , 

















 thu






.














 , 

  




. 














, 
 UWB 

3.1 

10.6 GHz th
(subband). 













500 MHz theo 


. 






  
n , 















 , 
.

- 5 -
, 

  (MB-OFDM), 




  


 



(OFDM), 



.  


  



 . 

,






  




 



 (




 ). 











 
 :   







,  









 . a








  





















  .  -OFDM s 


 (frequency synthesizer)  (frequency hopping). Khi s
 -(TFC) 



, 

  




 . 

 MB-OFDM  





802.15.3



 WPAN 
















(ECMA) -368.

1.2.  















 






 (MB-OFDM).  (timing synchronization) 
 (frequency offset estimation)  








-OFDM.

(Frequency Offset - FO) 


 

: 


, 







 

 
(Carrier Frequency Offset - CFO), 
















 
 (ADC)  (Sampling Frequency Offset - SFO). 
 gây ra ICI. 












 , nên ta 
 (BER) 







 .















     (Carier
Frequency Offset  CFO) 



 kênh UWB. , 





















3 .

1.3. 





















 (CFO) 














 . Tuy nhiên, c








, 



-






.

 , 2 













 .


, 
















 







(Maximum
Likelihood  ML) [2]. 

















2  . 







 .


, trên mi, 

 [3] 



2  (traning
symbol) 






 













 . 




 2 





 , 











 









 

 CFO. 

, 


 2  





 CFO. 















 . N,
, 


















[13, 14, 15].

- 6 -
 -OFDM, 


 CFO 



 . Yak  [4] 


C





 

[2], 






 2 
 (PS) trong 

, 











 .
































1 2. Tuy nhiên, 
-



 CFO. Sahu  [5] 









MB-



C

3. Li  [6] 




 

 (Best Linear Unbiased Estimator  BLUE) 
  C

 -OFDM. Li  

















 [16]. 


,  



 

,  




 10 Hz. 























con, 


























 . Trong
[17], Debarati Sen  

















 3 







 1  -OFDM. 








 . Debarati Sen  [7] 






 C














 [3]


-















 trên
. 





 




c so


 [17]. 

























1 2.















 [17] 








 : 

























 



.

1.4. 

























 . 2 






  -OFDM 


 -368, 

 

 
 802.15.3a. 




 

 . 












 . 

, 




 
 ATLAB 







 kênh UWB (CM1 
CM4) 

 C 












sao. C
















.

3  -OFDM. 


lu (



) 

. 
theo, 

 












. 







, 
 . , 

 













 










 MATLAB .



4 



 











.

- 7 -











-OFDM






2.1. 



-OFDM



 -368 [10] 







 (PHY) 


(MAC) cho   
(WPAN), 


















 3100  10600 MHz, 














480 Mbps .

2.1.1. 

 






n ECMA-368, p






 14  (subband), 


 528 MHz 

 2.1. 

, 12 
(1 

12) 

 4 (band group), 







 3 .
2 (13 14) . 
 

9, 10 11   , 

















  . 










1 trong 6 . 



, 1 .




2.1. 

 [10].



 

 f
c
  n
b



2.1 

. 2.1 .

f
c
(n
b
) = 2904 + 528 x n
b
(MHz), 


n
b
 (2.1)


#1
#2
#3



#4
#5
#6
#7
#8
#9
#10
#11
#12

#13
#14
#1
#2
#3
#4
#5
#6
3432

MHz
3960
MHz
4488
MHz
5016
MHz
5544
MHz
6072
MHz
6600
MHz
7128
MHz
7656
MHz
8184
MHz
8712
MHz
9240
MHz
9768
MHz
10296
MHz

- 8 -
2.1. 












 [10].








(n
b
)








(MHz)





(MHz)





(MHz)
1
1
3168
3432
3696
2
3696
3960
4224
3
4224
4488
4752
2
4
4752
5016

5280
5
5280
5544
5808
6
5808
6072
6336
3
7
6336
6600
6864
8
6864
7128
7392
9
7392
7656
7920
4
10
7920
8184
8448
11
8448
8712

8976
12
8976
9240
9504
5
13
9504
9768
10032
14
10032
10296
10560
6
9
7392
7656
7920
10
7920
8184
8448
11
8448
8712
8976

2.1.2. 

























 -









. 











 -








(TFC) . 2.2 

























1.



2.2. 

 










 [10].

2.3  2.4 

















 -OFDM. 
chung, : 



 . 











 : 









 (data scrambler ), 





 (convolution encoder and
puncturer), 




 (bit interleaver), 

 (constellation mapper), 


T
ZP
T
SYM



(ns)
3168
3696
4224
4752
#1
#2
D#3
T
FFT

(MHz)
Symbol 1
Symbol 2
Symbol 3
Symbol 4
Symbol 5

Symbol 6

- 9 -




 (IFFT). 


















, 








.



2.3. 





 MB-OFDM.




2.4. 



 MB-OFDM.

2.1.2.1. 































 
















n 



(data scrambler).








  

bit .









 bit 0 



1. 


 bit 



























, 

 . 























, 

 





.
































PLCP
header




QPSK/DCM

mang pilot,

, 
mang null
& IFFT



/
Song
song





.
.
.
.
.
.

Song
song /


PLCP
preamble



RF
Re{x
l
(n)}
s
RF

(t)
X
l
(0)
X
l
(N
FFT
-1)
x
l
(0)
x
l
(N
FFT
-1)
Im{x
l
(n)}
X
l
(k)

RF
OLA
CP





(FFO)


FO

FFT

kênh, 
RFO

kênh, 




















Viterbi














,






x
l
(n)

- 10 -



































 (convolution encoder) 


(puncturer). 







 






 (SNR)  . Khi
, 





 , 









, 









.



-368 



5 : 1/3, 11/32, 1/2, 5/8 3/4. 


1/3 








 . , 





Viterbi (Viterbi decoder) 






 . 




. 










 

bit 0 


















.































 (bit interleaver). 

















 .  ênh, 


. 




















, 
 

. 




, 





.



















  (constellation
mapper). 

















 
  . 














 200
Mbps, 



. 
320 Mbps, 





. 







 X
l
(n), 

n N
FFT
 1 l N
packet
- 1.


















    









 . 



 , 
(frequency-domain spreading) trong 1   (time-domain
spreading) qua 2   





. 





 122 con


128 , 

100 , 12 hoa tiêu, 10

 ,  6  0.   n 


 

l I

x
l
(n), 

n N
FFT
 1 l N
packet
- 1.

2.1.2.2. 




 -OFDM, 














 3 












(TFC) 







. 




, 
 . 2.2 











 




  1 = [1 2 3 1 2 3]. 

-368, 
1, 2, 3, 4 6 10 





 ;  5  3 TFC. 







x
l
(t)  

l 











x
l
(n) 











 

(DAC) 






( ) ( ) ( )
l I Q
x t x t jx t
(2.2)


,
( ) Re{ ( )}
Il
x t x t

( ) Im{ ( )}
Ql
x t x t
 x
l
(t). 


,
 

 

 x
l
(t) 



 (up-convert) 









- 11 -
(mixer) 
ic,

, 


ic,




i = 1, 2, 3 trung tâm 
1, 2, 3  3432 MHz, 3960 

4488 MHz. 


 





 










. 








 T
SYM
= 312.5 ns, 








 T
ZP
  .  
 (frequency synthesizer)  3  
ic,

, 


 . 2.5 2.6 






RF
MB-OFDM.



2.5. 







 MB-OFDM.





2.6. 





 MB-OFDM [9].

DAC
DAC


BPF

PA
1,c


2,c


3,c



TFC













Re{ ( )}
l
xt


Im{ ( )}
l
xt

Cos
Sin
Re{ ( )}
l
xn

Im{ ( )}
l
xn

s
RF
(t)

BPF

LNA

LPF

LPF
ADC
ADC
AGC
AGC

1,c


2,c


3,c


Cos
Sin














- 12 -
2.2. 


K UWB ,  











 [8]. 


















, 










. , 










 , 

, 

, 












 




.  0.3 








1 ns. 
















7.5 GHz, nên 






 



 133 









 




.










  n
, 1
m, 



 





.



 Saleh-Valenzuela (S-V) (2.7) 









802.15.3a v  







 UWB. 




: 





 , 





























 







(LOS).

4 

 (channel model  CM), 





 

 CM1, CM2, CM3 
CM4, 



 





  (LOS) hay


(NLOS)  . 


1 






  4 m. 

2 
1, 

 . Kênh CM3 



   
 4  10 m. Kênh CM4 tron







  
(25 ns). 2.2 4 

 


.

2.2.  .

Kênh
CM1
CM2
CM3
CM4
 (m)
0  4
0  4
4  10
10



LOS
NLOS
NLOS
NLOS










 802.15.3a [8] 


,,
00
( ) ( )
LK
i i i i
i k l l k l
lk
h t X t T
  

  

(2.3)



:
- {
i
lk,

} k 



l (realization) 


i.
- {
i
l
T
} l i.
- {
i
lk,

} 

 

k 

 trong l.
- {X
i
} 







i.






802.15.3









:
- T
l
l.
-

.
-

.

- 13 -
 :  t = 0, 



T

0
= 0,  




 l 
l,0

= 0.  

, 
  

Poisson, 





















. 




















:

   
 

11
exp|


llll
TTTTP
, 

l > 0 (2.4)

   
 
lkklklk
p
),1(1),1(,
exp|



, 

k > 0 (2.5)



2.7. 

-V 

 


.

 









:
lkllklk
p
,,,


(2.6)



 
),(log20
2
2
2
1,,10



lklkl
hay
20
,
21,
10
nn
lkl
lk




(2.7)


n
1

),0(
2
1


n
2

),0(
2

2

















.
 



lk
l
eeE
T
lkl
,
0

2
,




(2.8)



, T
l
 l 
0


 (),
1
,

lk
p






 /
l

T
e


/
,lk
e


1/


1/












T
0

T
1


T
2

T
3

  







0
1
2
3

- 14 -
( -1).




. 

,
lk,








 
 
20
)10ln(
)10ln(
1010ln10
2
2
2
1
,
0
,











lk
l
lk
T
(2.9)



,
l









 l, 
lk,








k 




 l. 









 


X
i
, 









{
i

lk,

} 





1








.

 

L
l
K
k
lk
0 0
2
,
1


(2.)







:

),0()(log20][
2
10 xii
XdBX


(2.10)

 802.15.3




2.3.

2.3.  [8].





CM1
CM2
CM3
CM4

- t





(ns
-1
)
0.0233
0.4
0.0667
0.0667

- t(ns
-1
)
2.5
0.5
2.1
2.1

- h
7.1

5.5
14.00
24.00

- h
4.3
6.7
7.9
12
1

- 






(dB)
3.4
3.4
3.4
3.4
2

- 





(dB)
3.4
3.4
3.4
3.4
x

- 








 X
i
(dB)
3
3
3
3
0

- 










1
1
1
1

2.3. 






{X
l
(k)}   





  i  . 
  




 /


IFFT. 







 N
FFT
= 128 

.  n 


 





l 








:

1
2 ( )
0
1
( ) ( ) ( )
FFT
FFT
FFT
k
N
j n lN
N
l FFT l
k
FFT
x n x n lN X k e
N




  

(2.11)

- 15 -



 lN
FFT


n < (l + 1)N
FFT
l N
packet
 1, 

N
packet



.

  , 



 (Cyclic Prefix  CP) 







 

  ISI do 

 gây ra. , 


















  

  







 



 













. 




















  .  , 


ECMA-368 









 








 . 
 N
ZP
= 37 







 0,  S (zero padding surfix)
(2.8b). Tuy nhiên, khi 









 S 







(Overlap-and-Add),  






 CP [21]. 





S 












. KN
SYM
= N
FFT

+ N
ZP
. i S :

()
()
0
l ZP
l
x n N
xn











(2.11), :

1
2 ( )
0
1
()
()

0
FFT
SYM ZP
FFT
k
N
j n lN N
N
l
l
k
FFT
X k e
xn
N











(2.12)


2.8 










 





 sau khi




 S.



(a) T

S.




(b) Sau khi ZPS.

2.8. 

 



.



l-1
N
FFT
ZPS
N
ZP



l
N
FFT
ZPS
N
ZP


l+1

N
FFT

ZPS
N
ZP

lN
SYM

lN
SYM
+ N
FFT




(l - 1)N
SYM
lN
SYM
+N
FFT
+N
ZP
=(l+1)N
SYM
lN
FFT


(l + 1)N
FFT




l-1
N
FFT
Sy

l
N
FFT


l+1
N
FFT



(l - 1)N
FFT
, 

lN
SYM



n < lN
SYM
+ N
FFT
, 

lN
SYM
+ N
FFT


n < (l + 1)N
SYM


, 

lN
SYM


n < lN
SYM
+ N
FFT
, 

lN

SYM
+ N
FFT


n < (l + 1)N
SYM



- 16 -


, N
FFT






l 

:

1
2 ( )
0
1
( ) ( )

FFT
SYM ZP
FFT
k
N
j n lN N
N
ll
k
FFT
x n X k e
N






, 

 lN
SYM


n < lN
SYM
+ N
FFT
(2.13)


 x
l
(t) 



 




Re{ ( )}
l
xn

Im{ ( )}
l
xn
 x
l
(n) trong (2.12) qua  





  


(DAC) 2.9.




2.9. 

















 [10].


1
2 ( )
0
1
()
()

0
FFT
k SYM ZP
N
j f t lT T
l
k
l
FFT
X k e
xt
N











(2.14)



,
f
k

= k/T
FFT
k 



.

T
FFT
= 1/D
f
= N
FFT
/f
s
 .

f
s
 D
f
 .

T
ZP
= N
ZP
/f
s

S.

T
SYM
= T
FFT
+ T
ZP
 

S.



i N
packet
 OFDM x
l
(t) 

  




















,
2 ( )
c b c
fb











con 

b.  




 p
:

1
0
( ) Re ( )exp( 2 ( ( ))
packet
N
RF l c
l
s t x t j f q l t








(2.15)



, Re[.]  , N
packet
 

, f
c

(m) 






 m, q(l)  

l 







 






, x
l
(t)   

l 







trong (2.14),  : x
l
(t) = 0 

t

[0, T
SYM
). 










  

l    trong , 


PLCP preamble, PLCP header hay PSDU (


3.1).

DAC











DAC










Re{x
l
(n)}
Re{x

l
(t)}
Im{x
l
(n)}
Im{x
l
(t)}
, 

lT
SYM


t < lT
SYM
+T
FFT

, 

lT
SYM
+T
FFT


t < (l+1)T
SYM

×