The Analysis of Shift Alternative Repeated Unequally Spaced Channels Allocation for DWDM System

Transcription

1 Intrnatonal Journal o Inormaton and Eltron Engnrng Vol. 3 No. Novmbr 3 Th Analy o Sht Altrnatv Rpatd Unqually Spad Channl Alloaton or DWDM Sytm C. Srnuan and S. Noppanakpong Abtrat Th papr propo th nw mthod to mprov th onvntonal thnqu n th hannl alloaton n ordr to rdu tranmon lo n th a that a larg numbr o hannl ar n lo proxmty to ah othr. Th phnomnon alld Four-Wav Mxng () an b obrvd n th a o Dn Wavlngth Dvon Multplxng (DWDM) whh th au o tranmon lo du to th nonlnar haratrt o th br. Th hannl alloaton that an b utlzd to rolv th problm ar Equally Spad () Equally Rpatd Unqually Spad () and a-unt Rpatd Unqually Spad (). Th papr prnt th nw thnqu o th hannl alloaton alld Sht altrnatv rpatd unqually pad (S) to avod th Four-Wav Mxng. From th mulaton rult th nw propod thnqu an dra an avrag ny rom -8.9dm to -3.7dm and rdu ER rom -9.7dm to -5.dm. Furthrmor th numbr o hannl ha bn nrad to 43 hannl n DWDM tranmon ytm (C band). Th rult ndat that S ha a lowr ny than and othr abov mntond thnqu. Indx Trm Dn wavlngth dvon multplxng our wav mxng nonlnar ht altrnatv rpatd unqually pad hannl alloaton. I. INTRODUCTION At th prnt tm optal ntwork apaty ha bn nrang du to Wavlngth Dvon Multplx (WDM) ytm. DWDM th ky lmnt that nur th tv opraton o th Intrnt and tlommunaton tra n wd-ara and loal-ara ntwork. Whn long-dtan tranmon ytm rqurd th lvl o launhd optal powr nra and br nonlnarty bom promnntly nrad. Th lad to ntrrn dtorton and x attnuaton o th tranmttd gnal whh ndu ytm dgradaton. Thr ar vral nonlnar t n WDM ytm uh a tmulatd raman attrng (SRS) tmulatd brlloun attrng (SS) l-pha modulaton (SPM) ro-pha modulaton (XPM) and our-wav mxng (). mparmnt bom nrangly mor vr n DWDM ytm. Th DWDM lght our multplxr wa ud a GHz rquny qually pang () [] that our at a vry hgh numbr o valu. Th howvr ould rdu valu wth an optal ltr o DWDM d-multplxr dv or whh hannl alloaton an b utlzd. In ordr to dgn a nw mthod n hannl alloaton vral rarh papr (RUS [] [3] [4]) wr analyzd. Th nw mthod alld Manurpt rvd Augut 5 3; rvd Otobr 3. C. Srnuan and S. Noppanakpong ar wth th Tlommunaton Engnrng Dpartmnt Faulty o Engnrng Kng Mongkut o Thnology Ladkrabang angkok Thaland (-mal: hollat@tot.o.th knuth@kmtl.a.th). S modl. It purpo to dra wthout th nd to dpnd on any optal ltr dv. Th rult o th rarh ndat th lowr and ER valu. Th mulaton wa ontrutd undr th ondton o th gnratd wavlngth ollow n C-band ( nm) EDFA n ITU-T G.94. [5]. From th rarh t dovrd that S modl an tvly dra and ER. In th papr th rquny pang pd hghr than 5GHz du to th lmt o optal multplxr and d-multplxr dv []. Th paramtr n th mulaton ar a ollow: Dpron Shtd Fbr (DSF) pd at th lngth (L) o 8km br lo ont α o.d/km drvatv dpron ont ( dd/ d ) o.p/km/nm tv or ara (A ) 5 m and APD ha quantum ny ( ) o 8% [7]. II. FUNDAMENTAL OF ANALYSIS A. Four-Wav Mxng A lght rquny o rquny whh gnratd by thrd-ordr non-lnar atd to thr gnal lght rqun and how on Fg. and a ollow k ( k) () k k Fg.. btwn rqun pad that nonlnar t arng rom a thrd-ordr optal nonlnarty. Sn th prmary onrn l-pha modulaton ro-pha modulaton and wavorm dgradaton du to bandwdth lmt ar gnord. Th total numbr o rqun M gnratd n an optal DWDM ytm o hannl N llutratd () and Fg. how t rom 3 hannl. k k 3 M ( N N ) () Th gnraton o lght au prorman dgradaton n two way namly by dpltng th powr o tranmttng gnal lght and by ntrrng wth th lght DOI:.773/IJIEE.3.V

2 Intrnatonal Journal o Inormaton and Eltron Engnrng Vol. 3 No. Novmbr 3 whh hav th am rqun a th lght. Gnratd Powr Wavlngth(nm) Fg.. t rom hannl alloaton o. Th total powr gnratd at rquny xprd a a ummaton [8] [9] [9] m P ( ) P ( ) Th output powr total m k k m an b (3) P o produt gvn by [8] (3) 4 dk L L ( k ) 4 k k n A P PP P whr P P and P k rprnt th nput powr o rqun and k rptvly P lght-wav rom at th rquny (4) th powr o th n th br rratv ndx th wavlngth a vloty o lght n a vauum A th tv or ara o th br th br lo ont L br lngth dk th dgnray ator ( dk 3 or dk or ) and (3) th thrd-ordr nonlnar uptblty. Th ny k gvn by [8] [9]. L 4 n ( L / ) (5) k L ( ) ( ) whr rprnt th pha mmath trm whh an b xprd n trm o gnal rquny drn [8] [9] whr dd D ( ) () k k d and Equally Spad () Optal Frquny Frquny k ar lght rqun o gnal D th br hromat dpron and dd / d a drvatv dpron ont o an optal br.. t Error Rat (ER) I th Gauan approxmaton ud to drb th no aud by ntrrn th rror probablty o P or an ntnty-modulatd on-o kyng (OOK) gnal wrttn a [8] [9] P t xp dt (7) Q Thror n a DWDM ytm th nonlnar ntraton btwn th rquny hannl may gnrat ntrrn rquny to a gnal hannl and au dgradaton o gnal and nra bt rror probablty. In othr word atual no aud by xptd to b lowr than th alulatd rult n th papr. lght dttd at th rvr at th am tm a th gnal lght whh ndu th ntrrn no. Th no powr N wrttn a [8] [9] N P b P (8) 8 P th gnal lght powr at th rvr. In a o th nput lght powr to th br P th br lngth L and L br lo ont ar P P. Th SNR an b xprd a [8] [9] Q bp N N N N th h th Sn th thrmal no N th and hot no N h ar vry mall N th domnant ator o th dnomnator thu th quaton (9) an b wrttn a [8] [9] Q L bp bp () N b P P P P n P P (9) b () h h whr h Plank ontant quantum ny o th dttor and th lmntary ltr harg. It alo aumd that th APD ha a quantum ny ( ) o 8%. III. CHANNELS ALLOCATION A. Equally Spad () Th thnqu ha gnal lght wth qual rquny paraton btwn adant gnal ung a hannl pang = and numbr o hannl =N a total bandwdth or = wrttn a [3] au N () ontant or ah hannl a lot o 595

3 Intrnatonal Journal o Inormaton and Eltron Engnrng Vol. 3 No. Novmbr 3 rqun wth ar gnratd. From () th rqun o lght gnratd wthn a total bandwdth ar alway onurrnt wth tho gnal. Tabl I. Show an xampl o hannl alloaton wth th numbr o hannl = GHz. N = 4 n C band and th rquny pang C TALE I: EXAMPLE OF CHANNEL ALLOCATION OF ITU-T G.94. Channl (GHz) (THz) Equally Rpatd Unqually Spad () Th a thnqu ung pad ( ) nto th bor rt o ba unt and btwn ah ba unt. Whh total bandwdth or ( ) xprd a [3] b n ( n ) (3) Hr n th numbr o th ba unt b th bandwdth o th ba unt and th bandwdth o addtonal hannl. r C. a-unt Rpatd Unqually Spad () Th a thnqu ung pad ( 3 ) nto th bor rt o ba unt. Whh total bandwdth or ( ) xprd a [4] b b bn.. (4) n Hr n th numbr o th ba unt b th bandwdth o th ba unt and r th bandwdth o addtonal hannl. ad unt ar dnotd a RUS n th ollow. Th rt b ompod o hannl -7 nxt b ompod o hannl 8-3 th nxt ompod o hannl 4 9 and nxt ompod o hannl 5. twn th hannl and ar addtonal hannl ( ) and btwn th hannl 7 and 8 ar addtonal hannl ( ). D. Sht Altrnatv Rpatd Unqually Spad (S) Th S modl a nw propo a hown n Fg.3. Th thnqu hannl alloaton ar mody rom rquny alloaton []. Th thnqu ung pad ( ) nto btwn ah altrnatv ba unt a hown n Fg.3. Th thnqu ha lowr th t o Four-Wav Mxng than th onvntonal thnqu and dra bt rror probablt ontanng hghr hannl a hown n Tabl II. W u 5.5GHz. 5GHz Th Tabl II hown S whh orrpond to Fg. 3 and th ba unt ar GHz. Th rt r r ompod o hannl -7 nxt b b ompod o hannl 8-3 th nxt ompod o hannl 4 9 th nxt ompod o hannl 5 th nxt ompod o hannl 3 th nxt ompod o b hannl 3 37 and nxt b7 ompod o hannl or th rt ba unt hannl wr addd and btwn th ba unt and b ar addtonal hannl b ( ) btwn th ba unt b and ar addtonal hannl ( ) btwn th ba unt 3 and ar addtonal hannl ( 4 ) btwn th ba unt and ar addtonal hannl ( ) btwn th ba unt 5 and ar addtonal hannl ( b )and btwn th ba unt and b ar addtonal hannl ( b7 ). A 7 total bandwdth or S xprd a n S b n Hr n th numbr o ba unt r b (5) th bandwdth o th th pang btwn th ba unt and th bandwdth o addton hannl. r b b Δƒ Δƒ S Δƒ 3 Fg. 3. Channl alloaton o S modl. IV. RULT OF ANALYSIS Δƒ n bn Th Fg. 4 how a rlaton btwn ny wth and a drn n lght rqun or and S. Hr a rquny o an lght and a zro-dpron rquny whh t at a mdpont o a total bandwdth o gnal lght. It a mdpont hannl whh ha th largt numbr o rqun among all th onttunt hannl lod tar opn rl opn tar and opn trangl whh ar alo orrpond to n o and 59

4 Intrnatonal Journal o Inormaton and Eltron Engnrng Vol. 3 No. Novmbr 3 S hannl alloaton rptvly. An avrag numbr o ny wth or and SU-RUS -.3dm -4.5dm -8.9dm and -3.7dm rptvly. Th rult ndat that S ha lowr n than. TALE II: EXAMPLE OF S CHANNEL ALLOCATION OF ITU-T G.94. Channl (GHz) (THz) Channl (GHz) (THz) Channl (GHz) (THz) Channl (GHz) (THz) Total Powr P t rror probablty P F W M (dm) X: Y: Numbr o Channl N Fg. 4. Compar ny o or hannl alloaton S Fg. 5. Compar ER o or hannl alloaton. Fnally th rror probablty o n Fg. 5 how a rlaton btwn bt rror probablty o P or an ntnty-modulatd On-O Kyng (OOK) gnal and nput powr pr hannl P. Th horzontal ln how th rvr at powr pr hannl. Th vrtal ln how th bt rror probablty o. Hr lod tar opn rl opn tar and opn trangl orrpond to total powr o n and S hannl alloaton. Th S Powr at th rvr P (dm) rvr at powr pr hannl P rqurd to ahv a ER o - or and S ar -5dm -5.7dm -9.7dm -5.dm rptvly. Thror th gnratd wavlngth o EDFA ( nm) n whh th bt rror probablty o P wth or S lowr bt rror probablt o than hannl alloaton. V. CONCLUSION From th rult n Fg. 4-Fg. 5 t an b onludd that S mor nt than and hannl alloaton mthod bau o th lowr n and lowr bt rror probablt o wth. Th output rom DWDM lght our multplxr wth qually hannl pang alloaton ndat a hgh numbr o valu. S modl an rdu th valu and mprov th opraton o a DWDM lght our multplxr by not havng to u an optal ltr n th DWDMd-multplxr dv. A a rult man that th S modl an rpla th optal ltr dv. REFERENC [] K. Inou Four-wav mxng n an optal br n th zro-dpron [] T. Numa and O. Kubota Analy o rpatd unqually pad hannl or FDM lghtwav ytm J. Lghtw. Thnol. vol. 8 pp [3] S. Koma and T. Numa Thortal analy o modd rpatd unqually pad rquny alloaton n FDM lghtwav tranmon ytm J. Lghtw. Thnol. vol. 4 no. 7 July. [4] A. Jumpat S. Nopanakpong and N. Inoungrakt Th analy o (a-unt Rpatd Unqually Spad) hannl alloaton or FDM loghtwav ytm n Pro. ICEAST angkok Thaland -4 Nov. pp. -5. [5] ITU-T Rommndaton G.94. Sptral grd or WDM applaton: DWDM rquny grd ITU-T StudyGroup 5. [] G. P. Agawal Fbr opt Comm. Sytm 3 rd d. John Wly & Son. [7] S. Futa T. Suzak A. Matuoka S. Myazak T. Torka T. Nakata and M. Shkada Hgh ntty 5 Gb/ optal rvr modul ung S IC and GaInA APD Eltron. Lt. vol. 99 pp [8] L. Zhang and J. Tang Labl wthng arhttur or IP tra ovr WDM ntwork IEEE Pro-Common Lt. vol. 47 no. 5 Ot. pp [9] T. S. Chn F. M. Abbou and E. H. Tat Impat o our wav mxng () n routng and wavlngth agnmnt Amran Journal o Appld Sn vol. 5 no. 8 8 pp

5 Intrnatonal Journal o Inormaton and Eltron Engnrng Vol. 3 No. Novmbr 3 ommunaton. Chollat Srnuan rvd h.eng. n Tlommunaton ngnrng rom Kng Mongkut Inttut o Thnology Ladkrabang (KMITL) Thaland n 9. H a anddat o M.Eng. n Tlommunaton Engnrng at KMITL Thaland and urrntly workng at Tlom o Thaland (TOT). H rarh ntrt nlud optal br and mobl Suthha Noppanakpong rvd h.eng. and M.Eng. n Tlommunaton ngnrng rom Kng Mongkut Inttut o Thnology Ladkrabang (KMITL) Thaland n 984 and n 989 and h Ph.D. rom th Tokyo Inttut o Thnology Tokyo Japan n 99. H rarh ntrt nlud optal br ommunaton and rado wav propagaton. 598