GATE Electronics & Communication Engineering 1998
!""# !"# !!$ # % !&'%(!!$ %$"%&'!""( % !"# !$%&'(((()*&&++,-((.*&&+/&00.*12&334343/%( ) 0 0 ww = + ( ) * ®¥ &*&5'.*(*'*&***-.*'&67" *8&6" *86"67"6"67" *89:((*! .((&+*&((*,.(;",%< &+ > + < + > *;<:%;;%"%" !""# !"# !!$ # % !&'%(!!$ %$"%&'!""( %=(1(&'( ) 0< = < < .*(1&00>.*((*'*(?('*1( )-> &-&( ) --( ) ----.3**13(+0 0 -.(+3((&3((((.*&-7&/7/-770.*(('@((3'(*(('.+ = + &+ = + = = /%A.p mBp m + = &( ) p m p + = p m = + ( ) 0 p m p = + C0WW3D/0W7 !""# !"# !!$ # % !&'%(!!$ %$"%&'!""( %.)'&(34(%7&%7%7%7-(*(3'(**('&'(9.E3**( ) d ¥= --&-( )0 -( )0 -,.*&/ 0 - , / + + + = 3(5&=.**6&( ) + ( ) + >'&+'*(3(( ) ( ) = + .''*((5&60.533'*( ) -+ &( ) -----+ 0%3('&+'*(F4w)'0-G.(*'*30-G&3--G--G0-G !""# !"# !!$ # % !&'%(!!$ %$"%&'!""( %00&+'*(( ) ( ) ( ) ( ) ( ) - 0 + = + + .'(('*5&0/.(/ ++ .*1**((&'>G&9G-G/G0.!')((4wD4w'*3(.*'*5&55'0-.'*( ) ( ) 0 0 0 9 - 0 + + + + .)'*0 0 9 - + + = &( ) ( ) 0 0 + + = ( ) ( ) 0 0 0 9 - 0 + + + + + = ( ) ( ) 0 0 0 9 - 0 + + -+ + = 09%'(((( ) w ( ) w ')30&300,.$.&'(*(.*($.5&'(*0 0&0 00 00 0 0=.0=1*(&+'(&7 H 7C7 !""# !"# !!$ # % !&'%(!!$ %$"%&'!""( %0>%*(<;;&*(&'*&((('/****((*((**()*(**(B3&(&((/3)'/3)'/*(0 / ***('.*0 / + +&0 0 0 / + +0 0 0 / 0 0 0 0 / + + + + 0 0 0 / + + /0.*((A.8&(('*a**a&/0//%3&+*(*(&*(&((*(&(*(&(*((*(&(*(&((*(/**(3(((23w3w0w/.((1*&*(&&'0 / w w w = + + &0 / w w w = + + ( )/ 0 / w w w = + + 0 0 0 0 / w w w = + + !""# !"# !!$ # % !&'%(!!$ %$"%&'!""( %/-I3)5'1&)'w ()'w .w '&w &w w w '&w w w /9 (**((((.(*(&&)/,%((('J(8B¥&< ¥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p ( ) %$ ( ) $ %00(*(((&*(*('00:3:( ) w q + *1.(:3:1&( ) '((11q000I*(1*<&*.<*&<.<)*<.<00/.*1M.( ) $ &3L000*(N<*(*(&*())00-&N:6& 6= &0 = = 0 = 009.('*('**'&'**'4'**''**'00,.(&&''(&FN&F;'; !""# !"# !!$ # % !&'%(!!$ %$"%&'!""( %00=.*((()('&('*(1(*(*(1*(00>.<1) ¶ ´ = ¶ &*(8&F8'8*&80/*0/*(% + .(*()0/ &/0 0 0/.*N'@L*0( ) 0% " ! & w b + = 7L*(0" p -&0" p = " p = " p -0/0.((pC40p*30 - &*0*/*0//.((''&(*&'(*'0/.(5( ) ( ) % " ! & &w b + = + &(0;=l 0l 0E !""# !"# !!$ # % !&'%(!!$ %$"%&'!""( %;";0/-.DÑ = Ñ ´ = &Ñ ¹ Ñ ´ ¹ Ñ = Ñ ´ ¹ Ñ ¹ Ñ ´ = 0/9.(W.(&0W&W-W0-W0/,(0O@(0*7L**.(-*0&-*0==-*0/,,*00/=.*1**&)'('9G=*D5)'9/(&'31*( ) & w f = + .(5&'*'&*0.&0 / /*)'*((/@(("2;0P !""# !"# !!$ # % !&'%(!!$ %$"%&'!""( %*(%$ + (((*(%$ + '&**1**(***(/W('$ W--*&0&&D0&3W'P9F( ) ( ) ( ) / 0 0 0 / / / ! " ' ! " " ! = + + -+ -7'30'.$!)$)-*+,.(('*&'( ) ( ) ( ) -= + Q!')('*&&=.)&+'*/ 0 0- 0 + + + + = *6'*&&'*&*'&P%)6)'6W7 7C3007 7C36W !""# !"# !!$ # % !&'%(!!$ %$"%&'!""( %;0EC3;>(&)B0 / / 0 0 ! ! ! ! ! (! ! )! ! = -= + = -D0 / ! ! ! ! '***(-&**1*** ((*(*(&0¢ 0)'C3;( ) 9= + C;¢ ;C3; !""# !"# !!$ # % !&'%(!!$ %$"%&'!""( %/%/*&'(*%0 .A$.5&'(* ++ *= = -= &= -.*3--0 # # # = @+((&'P&*1**('*(('(3(!&' ('; ;0b2>>p2"C7-+RH 67:6;70+7C3C070+C3307AI6# AI6"6# A0I0600 # !""# !"# !!$ # % !&'%(!!$ %$"%&'!""( %9.."9I7207*( ) ( ) 0 , &&b = = = .a# *,@*&'(*'*1*-==-*((*(1(*=%*(**&*&*=*1( !*.((>.(<'*-9(.(-0pC00p07***(5(@&***P67I0I/II06-6-706F!*(0 0*(7C3;C3:I;# ;.. ( !""# !"# !!$ # % !&'%(!!$ %$"%&'!""( %-*0*1e20::*&''*D'(q**@&(:3:(::P0@3('0´3970LD5((*(;3(/)'+D5*)(00(1&22 0 0 -+(&&'.*@*(&&'&0/*9*´/*&*((&)'()'-S&)'-S&1*0(( ) % " ! & w b -= *'+('13'(%'9´9:L**(-´3Ð-GW*((+(0-.( ) / = 9 - 7 *0- ! ! " & &w + -+ + = %)'FD5%(*(((''309.&((('(1'35('09/FD5& 7:@;
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