A BPSKQPSK timing-Error Detector for sampled receivers(3)

EEE ITANRASCTONSI NOOMMUNICACITNS, OVO.'LCO M-43 N,O .5,AM Y1869

Uop namplsnig t at= rT

r+and T+r r-T/2,we obt ai

n(rE=x2),(T+ 7r) x2=(7+ rT + x2)(r (+r 1/-2) )

-2T(7X+FTX)T((r-+1'2/)T

~()-r1)=~(r+(2--/2)rT+)x~(r+(rl-T)) 2- x (+r (r -1/ 2 )T ) x(r+ ( r l -) ) . -T7)(etL hte alorithg bem

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e sbutrcatin aod onnesq uairngpe rsy bmloi ntrveal) .Now etl su se, weah timrpovemnts ere poassilbe.=x ( r - h l){ (x r)- ( xr- l}).

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$x( t)= x 2 ( )+ xt2 (t- T/2 )- 2 x ( t)x ( t - T/).26)(-

E(p)=aO

uAhotizre dilensed use limitce do: XtDIIA NNUVIERIST. DYwnooldedaon pAilr 9, 002 at 291:44 for IEmE Xplore.E eRtsritcoin applsy

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通信论文

GRDANR: BPSKIQPSK TEIMNIGERROR-DE ETTOR CFOR SMPLEAD EREIVCR

E472o

sE(apaq) 6,,E(a3=

=Pa.

(13)qTehfu cntio ng t() si th eshpea f toe filhtred seingapulsel I.t hs aoFureir ratsnofm G(f r ).A ppy1)l1() 2to 1(t o obtania(r, )4a

ut(r=)xP

='

Tj

Gv()ejrTuapgr+( r( -Vz) - T pT

)1()4Prfeormthe in icated dultmilicapiots andn ollecct tresm,thereb y btoaniin godbul esus mocnaitingnp ordcts uaaPqna dspa.sT aek ht eexectatponi oervthe ata endsmble eot rriavea t ht everagae otput ofuth ed teecot:r n Ithe als ltnei weh avei pmoesdth e estrriticon G( f )= 0 forIf1 21/ tTot akea counc of tand libmitngiand to smilpfy thei aanysls.i hTatrestri tiocnasurse thsa ttheeris nono zneroo velrp bateewe G n f() adn ( G( m/ T - f)for )mIl> 1 Th. oeny lcnotribuint gvlaeu of ms rea0 nd&a1. In ismilr manner,a deinfP(7)e=g(7,(U=d{UE(tr)=)

x4P

( rg+ ( -r' z/ T - p) T )[g ( r+r T - p T) (+4 -/12 1 T ) g r(+q -(1 )T)

e= e-4-g(+r(-1r)-TpT) g(]r(q-l+/zT))gr+q(T)g(r+q-WT(g)7+((q T)- ) (11)

an5d und,rtaeinkg te hsmea mnapulitionasa leady rsowh fnro(Y T(, )w ebtaionm*

Glv()(;G-)vejr-vdTv(. -)mlejzmr/r

T23)(

hwreeq= r -p C.osnider apa rtai terml f toe hfomr(~(~ )= g ( 7+ ( -q-/ z ) p )g (~+ q T=A())fjZefud f-m

1.Theuantqit of yinertse tisU(7)t=i74)4

m

P(7-)

)Tenh

1()6

A( f = )(rg(q-+1z/))gT(+7T)eq-j*fZ

rdr

= 1 11

2j=l/(T)g (r+( q-/1)z)ekjZr-fl Gv()jerZu(r+Tq)d rdvs

*s

m

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