aieee 2011 paper
TRANSCRIPT
8/2/2019 Aieee 2011 Paper
http://slidepdf.com/reader/full/aieee-2011-paper 1/13
NHFDSF MHKNHKCFI HIDDD – :288
uisip ts hp fppr=!!www+cfdnispzyczdsp+can! Rhod 8
8/2/2019 Aieee 2011 Paper
http://slidepdf.com/reader/full/aieee-2011-paper 2/13
NHFDSF MHKNHKCFI HIDDD – :288
uisip ts hp fppr=!!www+cfdnispzyczdsp+can! Rhod :
Nhvintn Nhzls= 8:2
Xtdspiak rhrdz eaznhp hk` Nhzliko scfdnd=
8+ Pfis xtdspiak rhrdz fhs 32 xtdspiaks ae dxthg wdiofp hod+ Dhcf xtdspiak is hggappd` 0&eatz) nhzls eaz dhcf
cazzdcp zdsraksd+
:+ · &akd eatzpf) ae paphg nhzls hggappd` pa dhcf xtdspiak i+d+' 8 nhzl wigg jd `d`tcpd` eaz ik`ichpiko ikcazzdcpzdsraksd
3+ Ka `d`tcpiak ezan pfd paphg scazd wigg jd nh`d ie ka zdsraksd is ik`ichpd` eaz hk ipdn ik pfd hkswdz sfddp+
0+ Pfdzd is akgy akd cazzdcp zdsraksd eaz dhcf xtdspiak+ Eiggiko tr nazd pfhk akd zdsraksd ik dhcf xtdspiak
wigg jd pzdhpd` hs wzako zdsraksd hk` nhzls eaz wzako zdsraksd wigg jd `d`tcpd` hccaz`ikogy+
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NHFDSF MHKNHKCFI HIDDD – :288
uisip ts hp fppr=!!www+cfdnispzyczdsp+can! Rhod 3
8+ Hnako pfd eaggawiko pfd nhvintn cauhgdkp cfhzhcpdz is sfawk jy pfd canratk` &8) SkCg: &:) HgCg3 &3) NoCg: &0) EdCg:
Sag+ &:)Hccaz`iko pa Ehmhk’s ztgds' Ozdhpdz pfd cfhzod hk` snhggdz pfd si}d ae chpiak' ozdhpdz is pfd raghzi}iko
rawdz hk` ozdhpdz is pfd cauhgdkp khptzd ae pfd canratk`+
:+ Pfd rzdsdkcd az hjsdkcd ae fy`zavyg ozatr ak wficf chzjak hpan ae stohz `ieedzdkpihpds ZKHhk` @KH+&8) :
k`&:) 3
z`&3) 0
pf&0) 8
sp
Sag+ &8)
Ik ZKH' pfd stohz is κ √@ √ Zijasd' wfdzd hs ik @KH pfd Stohz is κ .@.:.`davy Zijasd+Pfdsd pwa `ieedz ik pfd rasipiak ae fy`zavyg ozatr hp :k` chzjak+ κ .@.:.`davy Zijasd ghcls fy`zavyg
ozatr hp :k`
chzjak+
3+ Pzicfgazahcdphg`dfy`d whs stjmdcpd` pa Chkki}}hza’s zdhcpiak jy tsiko KhAF+ Pfd nivptzd ae pfdrza`tcps cakphiks sa`itn pzicfgazahcdphpd hk` hkapfdz canratk`+ Pfd apfdz canratk` is&8) Pzicfgazandpfhkag &:) :' :' :.Pzicfgazarzarhkag
&3) Cfgazaeazn &0) :' :' :.Pzicfgazadpfhkag
Sag+ &0)
KhAF3 3 3 ::CCg CFA CCg CAAKh,CCg CF AF ↚
Chkki}hza zdhcpiak is h `isrzarazpiakhpiak zdhcpiak & Sdge avi`hpiak hk` sdge zd`tcpiak)
Akd hg`dfy`d nagdctgd is avi`i}d` pa shgp ae pfd chzjavygic hci` hk` pfd apfdz akd is zd`tcd` pa
Hgcafag+ Sa pfd canratk` eaznd` is 3 :CCg CF AF
ITRHC Khnd ae pfd canratk` eaznd` is :' :' :' . Pzicfgaza dpfhkag
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NHFDSF MHKNHKCFI HIDDD – :288
uisip ts hp fppr=!!www+cfdnispzyczdsp+can! Rhod 0
0+ Sa`itn dpfavi`d fhs zdhcpd` wipf dpfhkayg cfgazi`d+ Pfd canratk` pfhp is rza`tcd` ik pfd hjaudzdhcpiak is&8) :.Jtphkakd &:) Dpfyg cfgazi`d &3) Dpfyg dpfhkahpd &0) @idpfyg dpfdz
Sag+ &3)
4+ Pfd zd`tcpiak rapdkpihg ae fy`zaodk fhge cdgg wigg jd kdohpiud ie &8) r&F:) > 8 hpn hk` \F,^ >8+2 N &:) r&F:) >: hpn hk` \F,^ >8+2 N
&3) r&F:) > : hpn hk` \F,^ > :+2 N &0) r& F:~ >8 hpn hk` \F,^ > :+2 N
Sag+ &:)
& ), .: F , : d F o:
↚
RF :
2 ,:D> D . 2+249gao Fdzd D .ud wfdk R ; FF:
, :F
wiggjd
2+2498 :> . gao
82: 8
> kdohpiud uhgtd
5+ Pfd spzakodsp hci` hnakosp pfd eaggawiko canratk`s is&8) FCAAF &:) CF3CF:CF&Cg)CA:F
&3) CgCF:CF:CF:CAAF &0) CF3CAAF
Sag+ &:)+ ,I deedcpiko ozatrs `dczdhsd hci`ic khptzd hk` ikczdhsd jhsic khptzd
.I deedcpiko ozatrs ikczdhsd hci`ic khptzd hk` `dczdhsd jhsic khptzd +
F is phldk hs zdedzdkcd+
Hs pfd – I deedcpiko ozatr nauds ehzpfdz ezan pfd etkcpiakhg ozatr' hci`c khptzd `dczdhsds+
Cg fhs – I deedcp hk` hglyg ozatrs fhud ,I deedcp+
Pfdzdeazd pfd akd wipf – I kdhzdz pfd etkcpiakhg ozatr wigg fhud nazd hci`ic khptzd+
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NHFDSF MHKNHKCFI HIDDD – :288
uisip ts hp fppr=!!www+cfdnispzyczdsp+can! Rhod 4
?+ Pfd `dozdd ae `issacihpiak &θ) ae h wdhl dgdcpzagypd' HvJy is zdghpd` pa uhk’p Faee ehcpaz &i) jy pfddvrzdssiak
&8)8
8
i
v yθ √
>, ,
&:)8
8
v y
iθ , √
>√
&3)8
8
v y
iθ , ,
>√
&0) & )
8
8
i
v yθ √
>, √
Sag+ &0)
& )i > 8. θ , kθ > 8 , θ k .8
8θ
8
i
k
√>
√
y v H J vH yJ
v y, √
↚ ,
k > v,y
Sa 8θ >8
i v y
√
, √
6+ bh’ hk` bj’ hzd uhk `dz _hhgs’ caksphkps eaz ohsds+ Cfgazikd is nazd dhsigy gixtdeid` pfhk dpfhkdjdchtsd&8) h hk` j eaz Cg: 7 hk` j eaz C:F5
&:) h eaz Cg: 7 h eaz C:F5 jtp j eaz Cg: ; j eaz C:F5
&3) h eaz Cg: ; h eaz C:F5 jtp j eaz Cg: 7 j eaz C:F5
&0) h hk` j eaz Cg: ; h hk` j eaz C:F5
Sag+ &3)
Dhsd ae gixtdehcpiak h
jθ
Eaz dpfhkd h > 4+45: G: Jhz nagd.8' j > 2+2536 G nagd.8
Eaz Cg: h > 5+4?9 G: Jhz nagd.8' j > 2+245: G nagd.8
9+ H udssdg hp 8222 L cakphiks CA: wipf h rzdsstzd ae 2+4 hpn+ Sand ae pfd CA: is cakudzpd` ikpa CAak pfd h``ipiak ae ozhrfipd+ Ie pfd paphg rzdsstzd hp dxtigijzitn is 2+6 hpn' pfd uhgtd ae L is&8) 3 hpn &:) 2+3 hpn &3) 2+86 hpn &0) 8+6 hpn
Sag+ &0)CA:&o) , C &s) ↚ :CA&o)
Ikipihg nagds r ADxtigijzitn nagds r.v :v
Paphg rzdsstzd hp dxtigijzitn > 2+6 hpn< Paphg ka+ae nagds > r , v
Pfdzdeazd
<
2+42+3
2+6
r k
r v
r v
θ
> ⇚ >
,
:
CAr
:
R 2+5 ß 2+5L > > > 8+6 hpn
CA 2+:
8/2/2019 Aieee 2011 Paper
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NHFDSF MHKNHKCFI HIDDD – :288
uisip ts hp fppr=!!www+cfdnispzyczdsp+can! Rhod 5
82+ Jazak chkkap eazn wficf akd ae pfd eaggawiko hkiaks 1
&8) .JF0
&:) & ).
J AF0
&3) .JA:
&0) 3.JE5
Sag+ &0)Sikcd Jazak fhs akgy eatz azjiphgs ik pfd uhgdkcd sfdgg & i+d+ :s' :rv' :ry % :r})' ip chk sfaw h nhvintn
cauhgdkcy ae eatz+Pfdzdeazd \JE5^
3. is kap rassijgd
88+ _ficf ae pfd eaggawiko ehcps hjatp pfd canrgdv & )Cz KF Cg3 35
is wzako 1
&8) Pfd canrgdv is rhzhnhokdpic&:) Pfd canrgdv is hk atpdz azjiphg canrgdv
&3) Pfd canrgdv oiuds wfipd rzdciriphpd wipf sigudz kipzhpd sagtpiak
&0) Pfd canrgdv ikuaguds `:sr
3fyjzi`i}hpiak hk` is acphfd`zhg ik sfhrd+
Sag+ &:)
Ik \Cz&KF3^5^3, 'Cz3,
fhs 3`3
cakeiotzhpiak+
Ka+ae tkrhizd` dgdcpzaks > 3+Sa ip is rhzhnhokdpic+
& )Cz KF Cg3 35
ikuaguds `:sr3 fyjzi`i}hpiak hk` ip is hk ikkdz azjiphg canrgdv jdchtsd ip is nhliko
tsd ae &k .8) ` azjiphgs i+d+' ikkdz ` azjiphgs+
8:+ Dpfygdkd ogycag is tsd` hs hk hkpiezdd}d ik h cag` cginhpd+ Nhss ae dpfygdkd ogycag wficf sfatg` jdh``d` pa 0 lo ae whpdz pa rzdudkp ip ezan ezdd}iko hp √5 aC wigg jd=\Le eaz whpdz > 8+65 L lo nag√8 ' hk` naghz nhss ae dpfygdkd ogycag > 5:o nag√8 )
&8) :20+32 o &:) 022+22 o &3) 320+52 o &0) 620+3: o
Sag+ &0)
:e e e
8 :
ß 8222∅P > L ß n > L ß
ß n
w
w
w8 % w: > _p ae sagudkp % sagtpd zdsrdcpiudgy' n: > nag+wp ae sagtpd
& )2 2 :e
ß 8222∅P > a . . 5 > 5 > 8+65 ß
0222 ß 5:
w
w: > 622o
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NHFDSF MHKNHKCFI HIDDD – :288
uisip ts hp fppr=!!www+cfdnispzyczdsp+can! Rhod ?
83+ _ficf akd ae pfd eaggawiko az`dz zdrzdsdkps pfd cazzdcp sdxtdkcd ae pfd ikczdhsiko jhsic khptzd ae pfd oiudk avi`ds1
&8): : 3 :
NoA L A Hg A Kh A7 7 7 &:): : : 3
Kh A L A NoA Hg A7 7 7
&3): : : 3
L A Kh A Hg A NoA7 7 7 &0): 3 : :
Hg A NoA Kh A L A7 7 7
Sag+ &0)Odkdzhggy ndphgs eazn jhsic avi`ds+
Hczass h rdzia` ndphggic spzdkopf `dczdhsds % `awk pfd ozatr ikczdhsds+
Pfdzdeazd Jhsic khptzd ae avi`ds `dczdhsds hczass hrdzia` hk` ikczdhsds `awk pfd ozatr+
80+ Pfd zhpd ae h cfdnichg zdhcpiak `atjgds eaz dudzy 82aC zisd ae pdnrdzhptzd+ Ie pfd pdnrdzhptzd is
zhisd` jy 42
a
C' pfd zhpd ae pfd zdhcpiak ikczdhsds jy hjatp =&8) :0 pinds &:) 3: pinds &3) 50 pinds &0) 82 pinds
Sag+ &:)Oiudk' Pdnrdzhptzd cadeeicidkp : ´ > <
∅P
:82
8
l ´ >
l
42
82
4
:
8
:
> :
l 3:l
> >
3: l 8 > l :
i+d+' Zhpd ae zdhcpiak ikczdhsds jy hjatp 3: pinds+
84+ Pfd nhokdpic nandkp &srik akgy) ae :
KiCg0
√
is
&8) 4+05 JN &:) :+63 JN &3) 8+80 JN &0) 8+6: JN
Sag+ &:)
:
0 KiCg
√
+ =
& ):,:Ki ,0Cg Ki Cg
03sr
√√ ↚
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NHFDSF MHKNHKCFI HIDDD – :288
uisip ts hp fppr=!!www+cfdnispzyczdsp+can! Rhod 6
Kicldg ik , : Avi`hpiak sphpd fhs 3`6
cakeiotzhpiak +
Cg.
jdiko wdhl eidg` giohk` `ads kap eazcijgy rhiz tr dgdcpzaks+
Sa' pfis canrgdv fhs pdpzhfd`zhg odandpzy wipf sr3
fyjzi`ishpiak
Ka ae tkrhizd` dgdcpzaks > :
& )´ > k k,: JN
& )> : :,: :+6:JN>
85+ Pfd fyjzi`i}hpiak ae azjiphgs ae K hpan ik3
KA√ hk`0
KF , hzd zdsrdcpiudgy+
&8) : 3sr 'sr'sr &:) 3 :sr'sr 'sr &3) : 3sr 'sr 'sr &0) : 3sr'sr 'sr
Sag+ &8)
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NHFDSF MHKNHKCFI HIDDD – :288
uisip ts hp fppr=!!www+cfdnispzyczdsp+can! Rhod 9
:
3
4 2 8K 3
:A sr√
, ,> > >
: 4 2 8K ::
A sr√ , √> > >
3
0
4 0 8KF 0
:sr,
, √> > >
8?+ Ik cakpdvp ae pfd ghkpfhkai`s' wficf ae pfd eaggawiko sphpdndkps is kap cazzdcp 1&8) Hgg pfd ndnjdzs dvfijip ,3 avi`hpiak sphpd+&:) Jdchtsd ae sinighz rzardzpids pfd sdrhzhpiak ae ghkpfhkai`s is kap dhsy+
&3) Huhighjigipy ae 0e dgdcpzaks zdstgps ik pfd eaznhpiak ae canratk`s ik ,0 sphpd eaz hgg pfd ndnjdzs ae
pfd sdzids+
&0) Pfdzd is h ozh`thg `dczdhsd ik pfd zh`ii ae pfd ndnjdzs wipf ikczdhsiko hpanic ktnjdz ik pfd sdzids+
Sag+ &3)Pfd odkdzhg avi`hpiak sphpd ae ghkpfhki`ds is ,3+ Sand Ghkpfhkai`s dvfijip ,0 avi`hpiak sphpd hgsa+
86+ H 4+: naghg hxtdats sagtpiak ae ndpfyg hgcafag' CF3AF is strrgid`+ _fhp is pfd nagd ezhcpiak ae ndpfyg hgcafag ik pfd sagtpiak 1&8) 2+892 &:) 2+265 &3) 2+242 &0) 2+822
Sag+ &:)
Nagdezhcpiak ae sagtpd &v:) ik hxtdats sagtpiak >n
8222
n, * N
_fdzd * N is pfd nag wp ae sagudkp
4+:2+2265
82224+: ,
86
> >
89+ _ficf ae pfd eaggawiko sphpdndkp is wzako1
&8) Kipzaodk chkkap eazn `ς . rς jak`+&:) Sikogd K. K jak` is wdhldz pfhk pfd sikogd R – R jak`'
&3) K:A0 fhs pwa zdsakhkcd spztcptzds+
&0) Pfd sphjigipy ae fy`zi`ds ikczdhsds ezan KF3 pa JiF3 ik ozatr 84 ae pfd rdzia`ic phjgd+
Sag+ &0)Sphjigipy ae 84 pf ozatr fy`zi`ds `dczdhsds `awk pfd ozatr i+d+' ezan KF3 pa JiF3 hs N.F jak` dkdzoy
`dczdhsds wfdzd N is h UH az 84 pf ozatr dgdndkp+
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NHFDSF MHKNHKCFI HIDDD – :288
uisip ts hp fppr=!!www+cfdnispzyczdsp+can! Rhod 82
:2+ Pfd atpdz dgdcpzak cakeiotzhpiak ae O` &Hpanic Ka = 50) is=
&8)
6 2 :
0e 4` 5s &:)
0 0 :
0e 4` 5s &3)
? 8 :
0e 4` 5s &0)
3 4 :
0e 4` 5s
Sag+ &3)
Atpdz dgdcpzak cakeiotzhpiak ae Oh`agikitn > \ Vd ^ ? 8 :0e 4` 5s
:8+ _ficf ae pfd eaggawiko sphpdndkps zdohz`iko stgrftz is ikcazzdcp1&8) Pfd uhratz hp :22
2C caksisps naspgy ae S6 zikos
&:) Hp 5222C pfd ohs nhikgy caksisps ae S: nagdctgds
&3) Pfd avi`hpiak sphpd ae stgrftz is kdudz gdss pfhk ,0 ik ips canratk`s&0) S: nagdctgd is rhzhnhokdpic
Sag+ &3)Nikintn avi`hpiak sphpd dvfijipd` jy ‖S’ is .: &Dv+ F:S)Ik odkdzhg Nhv rasipiud avi`hpiak sphpd dvfijipd` jy hk dgdndkp is dxthg pa ips Ozatr ka
Nhv kdohpiud avi`hpiak sphpd dvfijipd` jy hk dgdndkp is dxthg pa 6 – ozatr ka
::+ Pfd spztcptzd ae IE? is=&8) pzioakhg jiryzhni` &:) acphfd`zhg&3) rdkphoakhg jiryzhni` &0) sxthzd ryzhni`
Sag+ &3)Ik IE?' I tk`dzoads sr
3`
3fyjzi`i}hpiak+
:3+ A}akagysis ae hk azohkic canratk` oiuds eaznhg`dfy`d hs akd ae pfd rza`tcps+ Pfis cakeizns pfdrzdsdkcd ae =&8) h uikyg ozatr &:) hk isarzaryg ozatr
&3) hk hcdpygdkic pzirgd jak` &0) pwa dpfygdkic `atjgd jak`s
Sag+ &8)Uikyg ozatr ak a}akagasys oiud eaznhg`dfy`d
Ik A}akagysis ae uikyg ozatr C > C is zdrghcd` jy : C > A ozatrs+
+
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NHFDSF MHKNHKCFI HIDDD – :288
uisip ts hp fppr=!!www+cfdnispzyczdsp+can! Rhod 88
:0+ H ohs hjsazjs h rfapak ae 344 kn hk` dnips hp pwa whudgdkopfs+ Ie akd ae pfd dnissiaks is hp562 kn' pfd apfdz is hp = &8) 3:4 kn &:) ?03 kn &3) 486 kn &0) 8234 kn
Sag+ &:)D hjsazjd` > D dnippd`
> &D8 , D:) dnippd`
fc> ,
μ μ & ) μ & )hjsazjd` 8 :
fc fc
dnippd` dnippd`
8 8 8> ,μ μ & ) μ & )
hjsazjd` 8 :dnippd` dnippd`
8 8 8
344 562:
μ ⇚ > ,
?0:+6 ?03 kn:
μ ⇚ > ≄
:4+ Sigudz Nizzaz pdsp is oiudk jy wficf akd ae pfd eaggawiko canratk`s1&8) Hcdpakd &:) Eaznhg`dfy`d &3) Jdk}arfdkakd &0) Hcdphg`dfy`d
Sag+ &:' 0)Eaznhg`dfy`d hk` Hcdphg`dfy`d chk jd avi`i}d` jy paggdk’s zdhodkp pa oiud sigudz nizzaz+
Paggdk’s pdsp is oiudk jy hgg hgirfhpic hk` hzanhpic hg`dfy`ds hk` dudk jy θ – Fy`zavy ldpakds+
Paggdks/ zdhodkp is hgsa h pdsp eaz hglykds wipf h pzirgd jak` ik pfd 8.rasipiak+ H ydggaw rzdciriphpd ae
pfd ndphg hcdpygi`d is eaznd` ik pfis chsd+
Japf Paggdks/ zdhodkp hk` Edfgiko’s zdhodkp hgsa oiud rasipiud pdsp wipf Eaznic hci` &ndpfhkaic hci` .FCAAF)' wficf is etggy avi`isd` pa whpdz hk` CA:
:5+ _ficf ae pfd eaggawiko zdhodkps nhy jd tsd` pa `ispikotisf jdpwddk rfdkag hk` jdk}aic hci`1&8) Paggdk’s zdhodkp &:) Nagiscf zdhodkp&3) Kdtpzhg EdCg3 &0) Hxtdats KhAF
Sag+ &3)Rfdkag oiuds uiagdp cagatzd` canrgdv wipf kdtpzhg EdCg3+ Rfdkag eazn cfhzhcpdzispic cagatzd` izak
canrgdvds wfdk pzdhpd` wipf kdtpzhg edzzic cfgazi`d sagtpiak+ Do+ Rfdkag % zdsazcikag . uiagdp cagatz'
chpdcfag.ozddk dpc+
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NHFDSF MHKNHKCFI HIDDD – :288
uisip ts hp fppr=!!www+cfdnispzyczdsp+can! Rhod 8:
:?+ Rfdkag is fdhpd` wipf h sagtpiak ae nivptzd ae LJz hk` LJzA3+ Pfd nhmaz rza`tcp ajphikd` ik pfdhjaud zdhcpiak is&8) 3.Jzanarfdkag &:) 0.Jzanarfdkag&3) :' 0' 5. Pzijzanarfdkag &0) :.Jzanarfdkag
Sag+ &3)Ik hci`ic nd`itn' LJz hk` LJzA3 rza`tcds Jz: +
LJzA3 , 4 LJz , 3 F:SA0 ↚ 3 L:SA0 , 3 Jz: , 3 F:A
Rfdkag zdhcps wipf Jz: &hx) pa oiud :' 0' 5.Pzikipzarfdkag+
:: F A
3Jz, ↚
AF
3FJz,
AF
Jz
Jz
Jz
:'0'5.pzijzanarfdkag
:6+ Ik h ehcd cdkpzd` ctjic ghppicd' hpan H acctrids pfd cazkdz rasipiaks hk` hpan J acctrids pfd ehcdcdkpzd rasipiaks+ Ie akd hpan ae J is nissiko ezan akd ae pfd ehcd cdkpzd` raikps' pfd eazntgh ae pfdcanratk` is&8) HJ: &:) H:J3 &3) H:J4 &0) H:J
Sag+ &3)H ctjd cakphiks 5 ehcds' 6 cazkdzs hk` 8: d`ods
Deedcpiud ka+ ae H hpans >
8
6 86 ß > & 6 tkip cdggs sfhzd h cazkdz rhzpicgd)
Deedcpiud ka+ ae J hpans >8
4 4 ! ::
ß > & Atp ae 5' akd rhzpicgd is nissiko )&: tkip cdggs sfhzd h ehcd
cdkpzd` rhzpicgd)
Pfdzdeazd eazntgh ae pfd canratk` is H:J4
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8/2/2019 Aieee 2011 Paper
http://slidepdf.com/reader/full/aieee-2011-paper 13/13
NHFDSF MHKNHKCFI HIDDD – :288
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