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THE HISTORY OF OFDM
STEPHEN B. WEINSTEIN
Group 3:





HỌC VIỆN CÔNG NGHỆ BƯU CHÍNH VIỄN THÔNG
contentS


 !"#$%&'!(
 ) )(#$ )
)*&$&  '$*!()*& "$*)""*+  $*!
$), "*')$-!'!"$++*$*!
 *&!"$ & ),
 .*+' "*/$! '!*&*&+ $%!$ '$& '$*!
 *&!"$ & ),
 .*+' "*/$! '!*&*&+ $%!$ '$& '$*!
! '$++*$*!)
The fdm background

 * 012345 6768664 9 :67;4 4;7 <4 7; =>78> 76 87 ;?  76>68 74=44; >6 @  46:6> ;76?6
?;=7;6>4

=69:4;=>78>6AB

"6C69:4;=>78>6AB"

*0D035"?;>;:;64>4=E47:6@6696=;47769@&6;6)C65=F;76()$=)B>;8458874<7


;6@46@99;6844@96>

*0D015$G968>;6974;<E:6B6>4476=7746;7B4;B4@6?6C6649686764
The fdm background

*0DH3456I64476=4699;@>6496@9=8>796=;9>7;974=776987;I33=>64

*760D2345"64476=4<79:9>4@6>4?;:;64>4@657;@668>69@J"9864476=4

64<67;748;@>6=<746>9774=44;9;?6C6K'"L6>4K9>76)<746:66>947;7696>4L<47;;
@M7;E6B69"5;6779776>644?9694@6>4

6468;@>6=46;:6;=69@"7;@6;=6=;6;=8>6764476=4!"
FDM had two drawbacks:
N6<476;?46<6>644?6C64867=94864@67<66764@6>4
N6>6;=8>6A7;?=>78>7;?46876=;9>7;4?;769??6674@6>4
*!"4476=469;=8>6A97O

P5764@6>4>45

6=7>>;7;;>964876;:6>884867
'67>9?>>B;46B;>>;??8>464964>7!"4867

DENSE SUBCHANNELS
( ) ( )
( )
( )
2 ,
/ , 0 –1,
1 ; 0

0 ; 0 (1)
( )

n n n
n
s t a g t exp j f t
f n T n N
g t t T
g t t hoac t T
π
=
= ≤ ≤
= < <
= ≤ ≥
DENSE SUBCHANNELS

$B8;7:646"K*"L;867;76K8;44@>;=8>6AL97@>;M
O
3
5
0
5Q5
B0
P

667644=8>64577=676:>4J5;?76!"4>774764=;?764@6>4>496E69 C0

!867;7666:694><776"5>M6 CI@7<767:66A8;6756;:647697
1
0

2{ } 2/ ( )
N
k n
n
s a exp j nk N
π

=
=

!"4476=
DENSE SUBCHANNELS

96:6>;86966>;97;4?;764864;?8>464596E69476;=@7;;?74=776E>7696>76475<7
@9>=769@747>>;:6>884867
4476=?;!"<76>B968696774=776E>764
DENSE SUBCHANNELS

)>7R@66A76969S4<;M7;;=8>6A975>>69!"B!$K;??467$L

;4M;7@769?7666=6747;!"J!$587>>=?4768;6447;68>6=67;?B8;7"<7
JIB8;7"
OFDM-OQAM implementation with staggered time-delayed subchannels(adapted from Saltzberg and Hirosaki ).
SIGNAL GENERATION USING THE DFT AND ITS FFT IMPLEMENTATION

646;98;@>6=;?"56?E67>667=>76>5>;46>8M69K!"L974>5<44;>:69@76""=8>6=677;;?76
"

%$'.6676976;7;;>4@6>4>4476">;9<6=8>6=677;66<66TU4@@6>4T
%R@9<97

SIGNAL GENERATION USING THE DFT AND ITS FFT IMPLEMENTATION

6 ""5 6A8>;7 76 86;97 9 4==67 8;86764 ;? 6A8;67>45 ?7;4  >67  " 7;  =@6 ;? 4;76B>67 "4 <7
=>78>66B46;?7664>74;?76464;76B>67"4

!"<;>9>4;5 4 V==6= 9%4;7690DH25488;7E>6A@>67>R7;;?4867=77<44@F677;?9;K4 $)L
?6C6B46>67:676?666

(476""=96!":@>65@77696@76;:6766>7:6;=8>6A7;?!"4>8;64494>66<96B6>6C>R7;
;7647;749

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9;=6E>6A@>7;?!"88647;:6=96776<667876
ADSL: THE FIRST MAJOR OFDM APPLICATION

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9;76496E694>66>4476=477;>9<;M7=6@776;4@4@6>644>;401M>;?667

$=7S48;7;786  $) =;96=,8@>7 7; :;9 6A869 8;<6 874;? 76 4867= 76R69 @ :6 >6 ;46 ; 9668
6>>>58@>79?E>77;6:6?;4>6B64476=4

6$=7;896:4699=@744=6747766477446997K94>8;<6L;96<776E>776>9
;46;97;478>;?7<476984@4@6>6
ADSL: THE FIRST MAJOR OFDM APPLICATION
ADSL1 Technology

(464IYHB8;7"<74@64468769@UT0IYMR9
K@>;ML4=@;>76;?U333J4

&986;9;?U34=8>64


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697764=>78>6;?TIM@J487;88;A=76>1@J4

)@@943ZTI6469?;8476=9TTZIYY?;9;<476=

67;7>4@4@6>6@9<97,00R
ADSL2 + Technology

Y0I4@@946469

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[ Note: 6 47>> 6<6 )5  @9 4476=4 <7 76 4;7647
4@4@6>64546764=64@64894=@;>76
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@9<97 $>767:6>5 )  46  1 MR 4=@;> 76 9
1HIY MR 4@6 485 488;7 8 7; 0Y3 @J4
9;<476=977692Y@J48476=
MEETING OFDM CHALLENGES:
THE CYCLIC PREFIX

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$>86EA47668677;;?76>4787;?7674=77694>97686EA76:>

6>86EA<457;767;S4M;<>6965E478;8;469@+6>699'RWITX0D13
MEETING OFDM CHALLENGES:

THE CYCLIC PREFIX

$44=674=77694>4=8>64K4
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5Q54
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54
3
54
0
5Q54
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L_8797K
3
5Q5
B0
L_764=8>64;?766>=8>46648;466K
3
5Q5
:
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764=8>6966:694>K
B:
5Q5
B0
5
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B0
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L

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;867;496;8>64764@6>4

";6A=8>65:aI

MEETING OFDM CHALLENGES:
OVERCOMING HIGH PEAK TO AVERAGE RATIO

686M7;:668;<67;K+$+'L;?!"<4446;48;@>6=4764=@;>76?666

b6764=6=;9>7;>6:6>4469?;>>764@644;94_77a376<>>>>:6764=68;>799987;>6:>6

86M:>64;?6C67>@7@6:6

966944469=@6;?88;647;>=7+$+'>9=8>796>885;957;6646:7;;F67;59=
;476>>7;6A764;5Q

&664769"7R6>9;7@7696><;M;4>847;==R6+$+'
OFDM-based frequency-hopping systems of Hedy Lamarr

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@7768696644;;?;7688>7;5!"B@469
?6C6B;884476=4


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4867=76C6?;:;976?666?;7;77F==

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K* 13I0Y0L

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">4!"4476=
Frequency-hopping system
DVB-T:Digital Video Broadcasting – Terrestrial

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The other major two-way wireless applications of OFDM

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9;<76;96;?0R

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THANK YOU !

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