Auto Inter-Carrier Frequency Offset Rectification Using Conjugate Cancellation in Multi-carrier CDMA Broadband Communications

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2 rvo of BE for T-om pr C DS-CD ym pr o So V ow umrl mulo rul lly oluo pr o V SYSTE ODEL Trmr ol T rmr lo rm of T-om pr C DS-CD ym w CC m ow for l ur T ry ymol of ur fr pr m om u rom ur qu T pr l v o prlll r wr rfr o l of frquy pr T r of l mulpl y orrpo p vlu of -om pr qu ollow -om pr of r l moul o of urrr frqu u vr ourr Trform T lo um umr of urrr qul o frquy pr for T m T oupu rvl T xpr π v wr rm l powr T m-frquy pr o r um p rom o T m-om pr wvform of ur v l P lt l wr P rpr rulr T-om p wvform p rvl T l { } r r of p um rm powr of ur l qul o T rm l of fr p or rulr l v π S l for o p or ou l v π Sˆ 4 T wo p r rm u m-vo mulplx TD B vr ol fr ro of ur rvl S l rm rou f l T l wll or ly m-m f l 4 T f ruo lo of o lly m-m ruo of v f o l-mol oor mol mulp propo T prmr m m ruo rrz vry of f l wr m rpr yl f m> pproxm loorml ruo wl m orrpo o Gu ruo propr lo of umr of urrr w or urrr xpr p fl f um r r yroou T-om pr C DS-CD ur ym w m rm powr w prf powr orol rv l ur rvl mpr y frquy off v r π ε ψ η 5 wr l pψ r rom vrl v uform ruo π propo ly for urε ormlz frquy off η v w Gu o G w oul- powr prl y of vlu / 6 wl f mplu r p m rom vrl w proly y fuo v y 4 m m m p xp 6 Γ m wr m rfr o xpo opror Γ Gmm fuo m m f prmr w qul o m / vr fr rmov ur rvl from rv l rv l rvr omo w fr p ou of o p u fr T pro l urrr xpr y { S S } ψ S S } η { T w fuo S- v S π ε π ε π ε π ε ou w fuo S v 7 8

3 T-Spr S/P -Sp T P/S CP TD Trmr ol * P/S -Dp & Com T- Dp T S/P Dmux vr ol * Blo Drm of T-om pr C DS-CD ym U Cou llo m S π ε π ε π ε π ε uo U 6 off Cou ulr w fuo 8 mlr o 9 u of frquy off rmε from pov o v Trfor w frquy off ε > wll rul f o r opro o w fuo of 9 oppo o f o lf of 8 w u of CC m w wll o w w fuo - w v S S T w fuo ompr w rulr w fuo 8 ow llur w w fuo v o r l rly w o of rulr vlu low frquy off ε < Bu frquy off ε > rulr ym prform r CC ym S Surrr x w fuo ε for rulr ou m S uo U 6 off Cou ulr Surrr x fuo ε for rulr ou m

4 fr m frquy pr u o of r ur mxmum ro om C o l v ψ η ψ wr 9 v 7 ˆ wr ˆ r ro-orrlo w T-om pr qu of ur ur w r v T T T T ˆ T ov quo xpr C D wr fr rm D r ymol of ur o rm lf rfr r rm C rrrr rfr w u o rfr four rm mulpl rfr fl rm G o l BT EO TE LYSS o w rv owl BE of T-om pr C DS-CD ym ovr m-m f l pr of rrr frquy off T l f p f vrl r um o o w ymol-uro B o Gu pproxmo 5 o vrl pproxm Gu rom vrl v m v y S ε π wr 7 w um v xpolly y mulp y profl P ruo v y l l xp ζ ζ p umr vr l r orrpo o fr rolvl p ζ r of vr powr y um ll urrr l of ffr ur v m P ruo T vr of lf rfr lul follow 4 wr vr of v vr 5 By follow m p ov w vlu vr of o rrrr rfr mulpl rfr w r v C Vr 6 Vr 7 / / l ψ v 7 lly vr of omplx Gu rom pro ow o follow vr of o rm v y Vr 8 from 9 o w o vr of o vrl w wr 9 / Vr rom m vr ow 9 rpvly w xpr vr BE of T-om pr C DS-CD ym u CC m ovr m-m f l Q Vr Q P γ γ wr / E γ for BPS l moulo E ry ur

5 rvl T Gu Q-fuo rpr form of / Q x / π 6 u for x ov lyl xpro of vr BE w u lrv xpro of Q-fuo w w pr 8 v π / x Q x xp θ x π θ To ompu vr BE w mu lly vr 4 ovr o proly y fuo of f uo p or umpo of p f l ffr urrr vr BE xpr π / m θ P θ π γ m θ T rm powr of p of ym w CC m lf of of rulr T-C DS-CD T BE G o from quo y Tu proly of BE v P γ Q Q λ Vr wr λ v λ E / m 4 x w v prform of propo ym o proly of rror r ow V PEOCE ESULTS o w vlu prform of T-om pr C DS-CD ym w CC m follow w um rom m frquy pr o ompr mulo rul of T-om pr C DS-CD ym w orl prform ow yl f l m u rom pr qu ffr vlu of frquy off T mulo rul r prform y u TLB w 5 ro BPS l w m l u uro T umr of ur mulo r ur w rom m frquy pr o for ur T COST 7 r ur l u mulo o mol f l orv mulo rul r w umrl rul u r r f ffr E/ T mulo mulo umrl rul of T-C DS-CD ym G l ow 4 u 6 p 8 urrr ur 4 B Error 6 8 urrr ur m Smul Smul Smul um um um Smul um E/o B BE of T-om pr C DS-CD ym u ou llo mulp yl f l 5 w ompr prform of ym u CC m w ym wou CC m ε rom rul 5 w o ε 4 proly of BE ym wou CC m 4 B mor ym w CC m o v m prform wl ε 6 B So w y ym w CC m v powr w rp o rulr ym T BE prform of propo ym vru umr of ur ow 6 orv ym w CC py ompr w rulr ym 5 ffr vlu of frquy off ε BE ym w CC v oul py ym wou CC wl ε m BE ym w CC v upror py rly 5 m rulr ym T ff of umr of urrr o prform of ym ow 7 By r umr of urrr ym w CC m frquy off ε prform of ym mprov w frquy off E / o B E / o > B u w o w umr of urrr x 64 >64 urv ovr prform o o mprov mor vlu 8 w ompr w T-C DS-CD ym w wou CC m ovol C-CD ym vru ormlz frquy off E / o B T rul 8 ow T-C DS-CD ym w CC upror prform ovr ym wou CC ovr ovol C-CD ym ul ε ov vlu rulr ym wou CC r prform 9 llur ff of l f prmr m o prform of ym of u CC m rulr ym ffr vlu of CO E / o B w o from fur prform w CC m mprov mor for rulr ym xp BE mprov mou of f prmr m r for o

6 ym T prform of o ym 9 w o-f l o ul m prmr ppro V COCLUSO ppr w mploy Cou lf llo m o m C for ulrrr CD ym w u Tm-rquy T or yr pr o vlu ool proly of BE of T-om pr C DS-CD ym w u CC m ovr G m-m f l y u SG lorm T T-C DS-CD w ou llo CC wor fly r rulr ym wou CC m f ormlz frquy off l v w Gu o G f l T mulo rul ow oo rm w umrl rul G l frquy-lv-f l T py of ym w CC r o oul rulr ym o o T-om pr C DS-CD ym ouprform ovol C-CD ym w prom for x ro of wrl oloy T rw of mo lf llo m r ruo w ffy w omp y u lrr l lp z rom ly mulo rul of T-om pr C DS-CD ym w y ym v rqurm of x ro wrl oloy EEECES LL Y LHzo ulrrr DS-CD: ulpl Sm for Uquou Bro rl Commuo EEE Commu O pp 6-4 G B G rl mulrrr ommuo EEE Sl Pro z vol 7 o pp9 48 S Hr Pr Ovrvw of ulrrr CD EEE Commu D 997 pp 6-4 V Tro w Dro rl Commuo r w Yor Sprr 9 5 L or Tmpl l Evoluo of T r rf of Cllulr Commuo Sym Towr 4G lzo EEE Commu Survy & Tuorl Qurr 6 6 J J B L Eff of frquy off o C/CD ym prform EEE Commuo Lr vol o7 pp H Sm oly T Eff of Crrr rquy Off o Dowl Upl C-DS-CD EEE J Sl r Commu Vol 9 o D pp H Sm H Brul oly Compro Bw Upl Dowl C-DS-CD Svy o S Tm Clo rquy Off EEE Tr Sl Pro Vol 5 o 5 pp J L uy P Brr C of Syroou Dowl C-CD w rquy Off EEE Tr rl Commu Vol 5 o r 6 pp 69-7 Y o S Hm rrrr rfr Slf-Cllo Sm for OD ol Commuo Sym EEE Tr Commu vol 49 o 7 July H Y Y C B H Sm for Cll rrrr rfr U Cou Trmo ulrrr Commuo Sym EEE Tr rl Commu vol 6 o Jury 7 Gu H Sm Prform Evluo Prmr Opmzo of C-CD EEE TrV Tol Vol 56 o pp y 7 LL Y L Hzo You Prform of rolly 4 Spr ulrrr CD G ll Slow 5 m- m l EEE TrVTol vol 54 o 5 Sp 5 pp LL Y L Hzo Prform of Grlz ulrrr DS-CD Ovr m-m Cl EEE Tr Commu vol5 pp Ju 7 orrow ur CD BE Clulo w Low Compuol Complxy EEE Trl Commu vol 46 o ov 998 pp Ppoul S U Pll Proly om Vrl So Pro 4 pp 6 pp w Yor: Grw Hll 9 Smo S lou uf ppro o Prform ly of l ommuo ovr rlz f l Pro EEE vol 86 pp Sp998 BE BE G u 6 8 umrl umrl umrl umrl Smulo Smulo Smulo Smulo E/ B 4 Smul BE prform of T-om pr C DS-CD u rom pr qu G l BE p 6 urrr ur T-C DS-CD wou CC T-C DS-CD wou CC T-C DS-CD w CC T-C DS-CD w CC E/o B 5 Prform of T-om pr C DS-CD w wou CC G l ε 5

7 E/o B p ur 8 urrr - - wou CC w CC wou CC w CC wou CC w CC w CC wou CC BE -4-5 BE w CC w CC w CC wou CC wou CC wou CC umr of Ur 6 BE prform of T-om pr C DS-CD w wou CC vru umr of ur G l ur ormlz off m prmr 9 BE prform of T- C DS-CD w wou CC vru m-m prmr f l - BE E/o B 7 BE prform of T-om pr C DS-CD ffr vlu of urrr G l BE C-CD T- C DS-CD wou CC T- C DS-CD w CC ormlz rquy Off 8 BE prform of T- C DS-CD w wou CC ovol C-CD vru ormlz frquy off G l 6

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