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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 ). 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... to one fourth the OFDM symbol length, provides added protection at the cost of lower spectral efficiency Spectral efficiency ranges from 0.62 bits/sec/Hz to 3.27 bits/sec/Hz, in an 8 MHz channel, depending on the code rate (1/2 to 7/8) and the modulation (QPSK, 16-QAM, 64-QAM) • DVB has been extended to a more mobile-friendly version, DVB-H (handheld) Thestandard (“8K”) version of DVB-H employs an 8192-point... cyclic prefix is the repetition of the last part of the transmitted signal during the prefix interval • The cyclic prefix was, to the author’s knowledge, first proposed by Peled and Ruiz [23] in 1980 MEETING OFDM CHALLENGES: THE CYCLIC PREFIX • Assume transmitted signal samples (sN-v, …,sN-1, s0, s1, …,sN-1); input data (a0, …,aN-1); the samples of the channel impulse response are (h0, …, hv); the sampled . 13I0Y0L • *78866976;76A7;?6>>>=;@>6;==7;476">; ">4!"4476= Frequency-hopping system DVB-T:Digital Video Broadcasting – Terrestrial • 6#B@;9476464I3U1KI%]L;1 0DI K1%]L"96=8>;4;969!"K!"L • $>67669976:>587;;6?;776!"4=@;>>6758;:96499698;767;776;47;?>;<64867>6?E6)867>6?E664?;= 3HI@74J46JR7;TI2@74J46JR51R6>596869;76;9676K0JI7;2J1L976=;9>7;K+)%50HB$5HUB$L • #4@666A769697;=;6=;@>6B?69>:64;5#BK96>9L64799K1%]L:64;;?#B6=8>;410DIB8;7"@7;>464H1027:6 4@644869@000H%R5;?<H3U14697 6#B4476= The. 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 • ";;9!"<767>8>4694864:66>464764=@;>76?666 • $976:>;>86?A6C>7;76=6=;]K94864;7=6L^;?766>@64697;=77674 • $>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. 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