raoal Joral o Ora Elro (JOE) ol.6 No. Aprl 7 ON OMZAON O MANUAURNG O AN AMER O NREASE ENSY O BOAR RANSSOR RAMEWORK HE AMER E.. arao a E.A. Blaa Nh Nooro Sa Ur 3 Gaar a Nh Nooro 6395 Ra ABSRA h papr or a pobl o ra of bpolar hroraor framor a amplfr o ra of hr mo. h or approah ba o op of rqr ara of hrorr h pf ofrao b ffo or o mplaao. h op fh b opm aal of opa a/or raao f. Aal of rrbo of opa h ao rrbo of raao f (afr mplaao of o of opa) for opmao of h abo aal ha b o b rl ro aalal approah. h approah a pobl o aal ma a ha rapor a hrorr ho rol of olo o rfa b lar of h hrorr h ao olar of h rapor a arao m of hr paramr. KEYWORS Bpolar hroraor ra of of raor a amplfr r. NROUON h pr m a aal qo ra of mo of ol a lro. o ra h mo ar ol b ra of lm of ra r a ra mo of h lm. o a ral mho o ra mo of lm of ra r ha b lop. O of hm roh of h flm rr [-5]. h o approah ffo or o op of rqr ara of ampl or hrorr a fahr lar or mroa aal of opa a/or raao f [6-8]. U of h abo approah of aal la o rao of homoo rbo of mprar a oql o ra of mo of lm of ra r. Aohr approah o ha propr of op maral raao pro [9]. h pr papr or r of a amplfr [] (. ). Ba o rl formla rommao o ra mo of l raor (boh bpolar a flff) [-7] formla rommao o ra of bpolar framor h or r. W am ha h or r r mafar framor h or. hrorr. h hrorr o of a bra a a paal lar. h paal lar l o lf ral o mafar b ohr maral. h o r op b ffo or b o mplaao o ra rqr p of o ( or p) h rqr maral. ramor h papr aal rrbo of opa r aal of h opa a/or raao f o formla oo hh orrpo o ra of h or r. O:.5/jo.7.6
raoal Joral o Ora Elro (JOE) ol.6 No. Aprl 7.. Srr of rr []. from op o paal lar. MEHO O SOUON o ol or am l rm pao-mporal rbo of orao of opa. h rqr rbo rm b ol h o ' la [989]. () Boar a al oo for h qao ar ()f (). () h Eq. () a () h fo () rb h pao-mporal rbo of orao of opa h paramr С h opa ffo off. opa ffo off ll b ha h ha of maral of hrorr ha a ool of hrorr r aal of opa or raao f (h ao Arrh la). p of opa ffo off o oora hrorr mprar of aal a orao of opa a raao f ol b r a [8] * * ς ς ξ. (3)
raoal Joral o Ora Elro (JOE) ol.6 No. Aprl 7 3 Hr fo () rb p of opa ffo off o oora a mprar of aal. o () rb h am p of h lm of olbl of opa. h paramr r a all ol b ar h follo ral [3]. h paramr rb qa of har f hh ra ( ara) h ah aom of opa. Mor al formao abo oraoal p of opa ffo off pr [8]. h fo () rb rbo of orao of raao aa pa a m. h paramr * rb h qlbrm rbo of orao of aa. hol b o ha ffo p of op a pobl o oba op maral ho raao f. h ao ζ ζ. W rm pao-mporal rbo of orao of raao f b ol h follo m of qao [3] (4). Boar a al oo for h qao ar ()f (). (5) Hr. h fo () rb h rbo of orao of raao ral pa a m. h fo () rb p of h ffo off of po raao f o oora a mprar. h qar o orao rm of Eq. (4) rb rao aa a ral. h fo () rb p of h paramr of rombao of po raao f o oora a mprar. h fo () a () rb p of h paramr of rao of mpl ompl of po raao f o oora a mprar. No l alla rbo of orao of aa () a ral () pa a m b ol h follo m of qao [9] (6)
raoal Joral o Ora Elro (JOE) ol.6 No. Aprl 7 4. Boar a al oo for h qao ar ()f () ()f (). (7) h fo () rb p of h ffo off of h abo ompl of raao f o oora a mprar. h fo () a ( ) rb h paramr of a of h ompl o oora a mprar. W alla rbo of orao of po raao f pa a m b rl labora approah [3]. o h approah l raform p of ffo off of po f pa a m o h follo form: () [ ()] hr ar h ara al of ffo off < ( ). alo raform p of aohr paramr o h mlar form: ( ) [ ()] () [ ()] a () [ ()] hr ar h hr ara al < < < () () (). ro h follo mol arabl: * / / / * ω Ω. h roo la o raformao of Eq.(4) a oo (5) o h follo form { ω Ω (8) { ω Ω
raoal Joral o Ora Elro (JOE) ol.6 No. Aprl 7 5 * f. (9) rm olo of Eq.(8) a h follo por r [3] Ω j j j ω. () Afr bo of h r () o Eq.(8) a oo (9) oba qao for al-orr appromao of orao of po f a orro j a j a oo for hm for all j. h qao ar pr h App. W alla olo of h qao b aar orr approah []. h olo ar pr h App. arhr rm pao-mporal rbo of orao of mpl ompl of po raao f. o rm h rbo raform appromao of ffo off h follo form: () [ ()] hr ar h ara al of ffo off. h ao h Eq.(6) ol b r a. W rm pao-mporal rbo of orao of ompl of raao f a h follo por r. () Eqao for h fo () a oo for hm ol b oba b bo of h r () o Eq.(6) a appropra boar a al oo. W pr h qao a oo h App. Solo of h qao ha b alla b aar approah [] a pr h App. No alla rbo of orao of opa pa a m b h am approah hh a for allao h am rbo of aohr orao. o h approah raform pao-mprar appromao of opa ffo off o h form: () [ ()] hr h ara al of opa ffo off < (). No ol h Eq.() a h follo por r
raoal Joral o Ora Elro (JOE) ol.6 No. Aprl 7 j ( ) ξ ( ). j h qao for h fo j () a oo for hm ha b oba b bo of h r o Eq.() a oo (). W pr h qao a oo for hm h App. W ol h qao b aar orr approah []. h olo ha b pr h App. W aal rbo of orao of opa a raao f pa a m aalall b h o-orr appromao o all paramr hh ha b appropra r. h appromao ar all oh oo appromao o ma qala aal a o oba qaa rl. W h all rl of aalal mol b omparo h rl of mral mlao. 3. SUSSON h o ba o rl alla rlao aal rrbo of opa h ao rrbo of raao f. h rlao pobl o oba paal rbo of orao of opa. pal paal rbo of orao of opa ro hh prplar o hal ar pr.. r of h papr a pal rbo of orao of opa ro of hal. h fr ho ha pr of rfa b lar of hrorr pobl o oba mor ompa a mor homoo rbo of orao of opa ro hh prplar o h rfa. Hor h ao o hall o opm aal m. Rao of h opmao follo. f aal m mall opa a o ah h rfa. f aal m lar opa ll ff o aohr lar of hrorr oo p. W alla opmal al of aal m b rl ro rro [-7]. ramor h rro approma ral rbo of orao of opa b al p- fo ψ (). arhr h rqr opmal al of opa orao b mmao of h follo ma-qar rror U [ ( Θ) ( ) ] j ψ. () p of opmal al of aal m ar pr o. 3. Opmal al of aal m of mpla opa hol b mallr omparo h h am aal m of f opa. Rao of h ffr o aal raao f bfor aal of opa. 6
raoal Joral o Ora Elro (JOE) ol.6 No. Aprl 7.. h f opa orao rbo. h or ro prplar o rfa b paal lar a bra. ra of mbr of rbo orrpo o ra of ffr b al of opa ffo off lar of hrorr. h rbo ha b alla r oo h al of opa ffo off paal lar larr ha al of opa ffo off bra..5 4 3 (Θ)..5 Epaal lar Sbra. /4 / 3/4.3... h mpla opa orao rbo. h or ro prplar o rfa b paal lar a bra. r a 3 orrpo o aal m Θ.48 ( )/. r a 4 orrpo o aal m Θ.57( )/. r a ha b alla for homoo ampl. r 3 a 4 ha b alla for hrorr r oo h al of opa ffo off paal lar larr ha al of opa ffo off bra.5.4 4 Θ -.3. 3......3.4.5 a/ ξ 7
raoal Joral o Ora Elro (JOE) ol.6 No. Aprl 7.3a. Opmal aal m of f opa a p of ral paramr. r h p of h or aal m o mol h of paal lar a/ a ξ for qal o ah ohr al of opa ffo off all par of hrorr. r h p of h or aal m o h paramr for a// a ξ. r 3 h p of h or aal m o h paramr ξ for a// a. r 4 h p of h or aal m o paramr for a// a ξ 4. ONUSONS h papr or a pobl o ra of lm r of a amplfr ba o bpolar hroraor. Sral oo o ra h ha b formla. Aal of rrbo of opa h ao rrbo of raao f (afr mplaao of o of opa) for opmao of h abo aal ha b o b rl ro aalal approah. h approah a pobl o aal ma a ha rapor a hrorr ho rol of olo o rfa b lar of h hrorr h ao olar of h rapor a arao m of hr paramr...8 4 Θ -.4 3.....3.4.5 a/ ξ.3a. Opmal aal m of mpla opa a p of ral paramr. r h p of h or aal m o mol h of paal lar a/ a ξ for qal o ah ohr al of opa ffo off all par of hrorr. r h p of h or aal m o h paramr for a// a ξ. r 3 h p of h or aal m o h paramr ξ for a// a. r 4 h p of h or aal m o paramr for a// a ξ AKNOWEGEMENS h or ppor b h arm of A 7 3.В.49..3 b h Mr of ao a of h Ra rao a obah Sa Ur of Nh Nooro. REERENES. G. oloh. Mor hp UM3h la mafar b frm MS. Mor Elro... -7 (6).. A. Kr. a. or-holoal far of MOSE-raor. or Elro... 34-38 (8). 3. O.A. A A.E. Bla N.S. Bolo.N. ao R.. Koaoa Ya.Ya. Kr.M. 8
raoal Joral o Ora Elro (JOE) ol.6 No. Aprl 7.. Ml A.. Saho. fl of plam of h lro-hol qlbrm o h pro of rao mal ffo GaA. Smoor. ol. 43 (7).. 897-93 (9). 4. N.. oloobaa.n. Komaro.. Maoha.. Rho A.A. Rh.. ala A.S. Yarbo. ao of holoal pro of mafar of h bpolar por hh-ola raor h a r of lo h ollor ro. Smoor. ol. 35 (8).. 3-7 (). 5. A. Sbramaam K.. al E.M. ol. A a a Elro ompo. ol. 3 557 (3). 6. K.K. O K...S. A..S. W X.. Wa Y.. ho. opa rbo h rrallao ra a h mamm ml ph b lar aal. Appl. h.. 89 (7) 7-74 (6). 7. H.. Wa.S. a E.. hor. l lar aal of B-mpla GaN. J. Appl. h. 98 (9) 949-9495 (6). 8. Y.. Bo A.G. Yrm N.A. Zharoa.. loo K.. Rbao M.N. roo Y.N. roo.. Spo. ffo pro moor rr r mroa aal. Raoph a Qam Elro. ol. 43 (3).. 836-843 (3). 9... Kol. Mofao of moor b proo bam (Naa Sa-rbr 3 Ra).... G.A. Kholoar' Raa ph of moor. ("Naoa ma" K 979 Ra).. S. Kararra. a.-m. Zrl. Sol-Sa Elro. ol. 6.. 33-37 (6).. E.. arao E.A. Blaa. ra of harp of ffo-jo hrorfr b raao pro.. J. Nao. ol. (5).. 58---58-8 (). 3. E.. arao E.A. Blaa. Abo om a o ra qa of f maral for ol a lro a ao of hr ralao. R horal S. ol. 3 ().. 77-5 (5). 4. E.. arao E.A. Blaa. A approah o ra mo of loal lm ba o bpolar raor.. J. omp. S. Appl. ol. 5 (4).. -8 (5). 5. E.. arao E.A. Blaa. O approah o ra mo of lm OR mafar b fl-ff hroraor. Nao S a Nao holo: A a Joral. ol. 9 (4).. 43-6 (5). 6. E.. arao E.A. Blaa. Opmao of mafar of mr-opl lo o ra rfa of hp.. J. Mo. h. B. ol. 9 (5).. 553--553- (5). 7. E.. arao E.A. Blaa. ra of mhaal r a moor hrorr b raao pro. J. omp. hor. Nao. ol. ().. 9- (4). 8. Z.Y. Gora. holo of mrolro (Rao a ommao Moo 99). 9..M. ah.b. Grff J.. lmmr. ffo a po f lo. R. Mo. h. 989.. 6... 89-388.. A.N. hoo A.A. Samar. h mahmaal ph qao (Moo Naa 97) ( Ra).. H.S. arla J.. Jar. oo of ha ol (Ofor Ur r 964). Ahor: arao E ooh a ll oor of S a Aoa rofor of Nh Nooro Sa Ur. H ha 86 pblh papr ara of h rarh. Blaa Ela Ala a h of Nh Nooro Sa Ur. Sh ha 34 pblh papr ara of hr rarh. AENX Eqao for h fo ( ) a ( ) hm j j j a oo for 9
raoal Joral o Ora Elro (JOE) ol.6 No. Aprl 7
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raoal Joral o Ora Elro (JOE) ol.6 No. Aprl 7 j j j j j j ( j ) * f j ( j ). Solo of h abo qao ol b r a hr * o o o f p () o ( ) p hr () ( ) [ ]
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raoal Joral o Ora Elro (JOE) ol.6 No. Aprl 7 4 { } { }. Eqao for h fo () boar a al oo for hm ol b r a
raoal Joral o Ora Elro (JOE) ol.6 No. Aprl 7 5 ()f () (). Solo of h abo qao ol b r a [ ] hr f p () o ( / ) hr () ( / ). Eqao for h fo j () boar a al oo for hm ol b r a
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