School of Information and Communication Engineering, Harbin Engineering University, Harbin , China.

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2d I Cfc Au, chc C d Cpu Egg (ACCE 27) Rsch P Cby Spd Spcu Cuc Sys wh Adpv Vb-R D Tsss Bg L, Hgyg Shb, Yx Xuc d Xu Wd Sch f If d Cuc Egg, Hb Egg Uvsy, Hb 5, Ch bg@hbuduc Kywds: p cby spd spcu; ch s; vb Absc Ths pp pss v p cby spd spcu (PC/SS) cuc sys whch cbg wh ch s chgy I c b usd z dpv vb- d sss Wh h ch cd chgs dug h cuc pcss, h ub f h scd PN squcs s chgd hugh h sg--s (SNR) fd-bckd f h ch s[] S s z h c h d sss Ad h ub s dd by -vu Th su sus shw h chsg g -vu f g SNR d chsg s -vu f s SNR c su h b bw 3 d pv h vg d sss Iduc Wh h dvp f b cuc chgy, p cby spd spcu (PC/SS) chgy hs b ppd s f h bus cuc d bd d cucs whch bsd s hgh cuc ffccy, hgh d sss cpby[] I hs pp, w pps w hd sudy h ch chg y dug h cuc I h cuc pcss, h SNR s fd bck h sg s hugh ch s Th bg -vu shud b scd wh h SNR s bg, d wh h SNR s s w shud sc h s -vu, whch c su h h sys BER h fwg 3 wh vg d sf s fs Fg shws h v sys bck dg Sc h vu PC P sg cbd spd spcu PN cd sychz PC sg P cbd spd spcu dspdg du Fdbck ch sg - - s ch C sychz ddu Ch s Fg Th v sys bck dg 2 Sys d yss 2 P cby spd spcu (PC/SS) PC/SS cuc chgy s kd f cuc d h dvpd h bss f sf spd spcu, hs vy hgh f sss cpby PC/SS c s f d: K + [g 2 (C )], wh [X] s udg X Fg2 d Fg3 shw h s d cv bck dg f PC/SS sys Cpygh 27, h Auhs Pubshd by As Pss Ths s p ccss c ud h CC BY-NC cs (hp://cvcsg/css/by-c/4/) 284

I h s, k-b d s s d-spdg squc pp Th scd PN squcs d c squc py f hg squcs f cby squc squcs ddd f u-vu sg, d h sd sg f c Sp d pu cvs 2 D-squc pp k 2 Oupu D(,) Σ du C 2 Ohg squc d u v u x s v c s P Fg2 h s bck dg f PC/SS sys PN ddu Ddud sg D +T PN 2 PN d +T d 2 D squc vs pp 2 +T Sychus c d 2 D upu k Fg3 h cv bck dg f PC/SS sys dug[2] I h Guss ch, h ddus h cvg d Af h c ddug, h c ccu s pfd by usg PN () (,2,,) s dspdg pcss I h cs f c d spd spcu sychzg, h upu f h spd spcu ddu s: () D () P q PN ( ) PN ( ) d + N + J,2,, T+ j j j wh τ s h cuc ppg dy, j g s h uc f h spdg squc, j s Css-c hg squcs usd: j T (2) PN () PN () d j T j Th ddu upu s: q PT + N + J D j N + J j (3) j F h ddu upu sgs scg h spdg squcs d h py whch cspd h upu wh h gs bsu vu s h sd cbd squc Thugh h d - squcs vs pp, h k-b d g I chvs spd spcu cucs 22 SNR s I hs pp, h c s hd s usd s h SNR Ths hd uzs h uc chcsc f h PN squcs cd h cvd sg chv ppx s f h SNR [3,4] Fg4 shws Th bsc bck dg Lc squc C sychz R() Rd Pk/N SNR s squ Sg gy ccu y ( + ) ( ) y() + () + Fg4 Kw squc uc gh chv h schc dg A h cvg sd, h c PN cds s usd ccu h uc wh h cvd sg squc Supps h cvd sg wh s s: X (k) S(k) + N(k) X (k) d h kw c squc S (k) c p, yu c g: (4) R(ττ ) E{[S2 (k) + N(k)][S(k )]} Accdg h u f h c fuc w c s h wh τ c b d h pk: R() E[S2 (k)] + E[S(k) N(k)] Wh h fs pss h sg cp upu by h c d h scd pss h s cp upu by h c Wh h squc gh s g ugh, h c upu s s ggb S h upu f h 285

c s R() L Ad h yu c g h sg gy E s hugh squg A h s, ccu h gy f h cvd sg whch wh ss bf h c,d us h fu y () ( ρρ ) y() + () vg[5]th h sg--s s ccud s fws: ES (5) SNR g E ES Th SNR s sd Af bg h SNR, w d chs dff -vus ccdg h dff SNR f BER yssnx, h b yss s dscussd A h cvg d, h cvd sg s sscd wh c spdg squc Th su s: T + (6) D () R () PN ( ) cs(ω + ϕ ) d VS + V + VJ I h fu, V s s h sg cp Wh h g fuc s, h spdg squc s cpy hg Th c fqucy d phs s w s h spdg squc phs sychzd: j q PT (7) V S j I h fu, T s h gh f h spdg squc V s z d h vc s (/ 2)N PT Th s cp f h dub-sdbd pw spc dsy N / 2 s: V T + (8) () 2 PPN ( ) cs(ω + ϕ ) d T + VJ s h fc cp: (9) VJ J () 2 PPN ( ) cs(ω + ϕ ) d If h h spdg squc s f h squcs whch h sd scg spd spcu squcs sd Th h cc dspdg, h bsu vu f h h c upu vu V s g h h c vu f h h (-) c upus Whch s V > V,2 - Thf, h cc pbby f dspdg f h h dspdg, c c b xpssd s: P P( V >, V > V, (, 2,, ) V ) () p( V > V ) p( V ) dv Sc h "" d "" f h sd d dy qu pbby, h py f h scd spdg squc s s f qu pbby I s ssud h h sd h spdg squcs hs psv py d h ch s s Guss wh s V Pbby dsy bys h Guss dsbu V pbby dsy s fws h Guss dsbu Thf, Equ () c b w s fws: P () p( V > V ) p( V ) dv + + 2p h x 2 x + h /2 fc 2 ( ) dx I h fu, h 2kEb / N, s h pu SNR f h h dspdg c fc( ) s h cpy fuc Th pbby f h squcs upud by h vf cc: P (P ) Sc h pbby f phs f s uch w h h pbby f dspdg, c b gd I hs wy, w c g h b fu f p cbd spd spcu sys: (2) x + h k k k ( ) Pb 2k ( P ) 2k 2k 2π h x 2 /2 fc 2 dx As c b s f h bv w yps, Th f h p cbd spd spcu cuc sys s y dd by h sys ps, d h SNR h 23 Adpv Vb R Tsss Ayss d Su Rsus Th d sss cpby f PC/SS sys s d by fu K + [g 2 (C )] I hs sudy, h s fxd 6, s h d sss cpby s d h chc f vu, s shw Tb : 286

Tb 6, chs dff vu cspdg d sss -vu D s sd 5b 2 8b 3 2b 4 4b 5 6b Fg7 shws h wh h -vu s cs, h cspdg BER s s wh h SNR s g Ad c SNR, h s s wh scg s -vu Th SNR whch s cspdd dff -vus s shw b 2, c gu h BER bw 3 Tb 2 Th SNR g whch s cspdd dff -vus -vu SNR g db [-9, 2 [ 3 [ BER cps - 5 [ - >5 > Sc h dff vu BER su 6, 6,2 6,3 6,4 6,5 4 [ BER BER -7 - SNR/dB -9-7 SNR/dB - Fg5 Sc h dff -vu Fg6 Th BER f scg dff PN Cd BER su Squcs ud dff SNR Accdg h bv f, w c g h sg--s f h cu ch hugh SNR s, d chs dff -vu gu h b bw 3 z h dpv vb d sssfg8 shws h BER bu scg dff PN squcs cspdg h dff SNR, s c h h BER s w h 3 3 Ccuss Cbg wh h ch s fdbck chqu h p cby spd spcu cuc sys, h PN squcs ub c b dpvy scd ccdg h quy f h ch Th su sus shw h wh h sg--s s g h -9dB, chs 5, h b c b gud b ss h 3, s h sys c dp h ch v 4 Ackwdgs Ths sch hs b suppd by I Scc d Tchgy Cp Pg f Ch (24 DFR24), H Lg Jg Psdc Fud (LBH-Z466), Scc Fud f Hgjg Pvc QC2575, d Fud Rsch Fuds f h C Uvss GK282646 Rfcs [] L Bg Rsch h ky chgy f P cb spd spcu cuc sys [D] Hb Egg Uvsy, 24 [2] PAN J-B Adpv du OFD syss [D] Bjg Uvsy f Pss d Tcucs, 26 [3] L Yyg, Ch J, Zhg Yug, L Hchg Sg--s s hd bsd uc fuc [J] Ju f y Cucs, 2,2: 8 [4] Zhg Jchg, Pg Hu, Zh Guqg Sg s s gh sch [J] If Egg Uvsy, 2,5: 53543 287

[5] Qu A cs cuc sg cvg chgy d FPGA p [D] Xd Uvsy, 2 288