flfin--ffi

[Time: Three Hours] tr ,, r. ..: \,-,r '.\'r,1": I, t1...: i.. ,,

\ : 1 ,.: :l'. :. 1 , \.':1, ir '-. .r,',.1:r: :'1; .::......a..''' ". :: .:.:l: '.' ..i.i1:' .

2

,Il Y

Please check whether you have got the right que.siion'pbper.' 'r rEorE Lr rELt\ wt ttrLt ttrt yuu r tdve B,ut Ute I tg,nt que5llon paper.N.B: 1,. Questlon.No.l- is compulsory. "-.' +,in':;1 .*,

2. Attempt any three from the remaining. .,i,. l,' :.,: , ,1.-' '

,.:= t,,i.,

-,, '' 'tt ,,

,' . i '- "

..,

' I - ,,2Q.1. a) Find the extremal sg 7'-:-!-a*J ,'' i .,. "

. .'.. .:... r:.:, .. . .:: ..,:.. . : I : .!,'-r,. ...

..i'..: .,:i, -.

d) Evaluate I ,' ,1, , along the parabola ., = .y =

".,.;... ..,:, ,... ,-.; -..:.::. :" :;.,:; ..:' -::.',-'.

j; '

.'rl'

,--:,..,1 -:r;;,1 ,,.-;.'-,t-''- ,,, (51

(6)

(5)-",\ii ]i * lr:' .:." t

c) Reduce the quadiaticform *',- 2y' + 10 ,' - t0 xy + 4xz - zz.v tocanonical form andhence, fihd its rank,'index and,:iignaturE and:value class.

&Ao (6)

(6)

(8)

(61

(61

/-\r'(0) = o, r'l a i = r is stationary if x--sint, y=sint.

\2 ).

1167 1 OP 26CF 24E87 7 E6B9 58C4E I DF 8D I 3

)' . []J']'" "'n that r(o) = o,''l

-ee I -, , ,/z where C is lz l=4.caa/L

(8)

lz :lofi i

[o z)

(6)

(8)

,.r: i \

",.,71,1 -''

1167 7 OF26CF 24F,87 7E6Bg 58C4E I DF8D I 3

e)

2. a)

Tt424 I T1070 CONTROL SYSTEMS

10

.{tr}

b) Sketch the root locus for the given system

G(s)H(s)= ,t*3a)

_Obtain.rrr::f. functions C(s)/R(s) and C(s)/D(s) of the systemshown in following figure

10

aJ.

10

97 80 C43F 3 C299 12F C2827 BC3 17 3 At AA7

ITURN OVERI

(3 Hours)

N. B.: (l) euestion No. I is compulsory.(2) Attempt anv three orr"oli.,-o r_.

1. Attempt any four questions.

n=foir-7

I

b)

T1424 I TIOTO CONTROL SYSTEMS

S{s} * r*{}

s'! +l5s+l*{}: .i .-. :., .1. ,.

comrnent on controllability and observability for the givenstate space representation.

,r rk * rr rt * * * * * rr * * rr,r * * rs *

9780C43F3C299 t2F C2827BC3 I 73A 1AA7

10

105.

4. a)

a)

b)

b) Draw and explain block diagiim of Adaptive control systems.

a) Draw the Bode Diagram for the transfer function.

G(s) _sz*3s+S0

b) Consider a unity-feedback system whose open-loop transfer functionis

y r-o.BsG(s) -

"" .-s*1using the Nyquist plot, determine the critical value of K for stability.

10

6. For the given the transfer function, find Tp, %Mp, Ts and Tr. l0

10

.\ 1|,, : ,::| 1'.

c) Determine the Laplace transform of the given si!nals;-

T1424 /T1069 SIGNALS AND SYSTEMS

x(t)

i',';r: :!,;' r\a! '.'i

! ,\).. r. ;.x ..r

I Marki:80],;. .a": | 1i :,.;

'' ".':- " ".. ,'

. ', --il:" ',' . ;

.',\ 11,, ,,.:. .1

20

'a

[Time:3 Hours]

,:t:."'.,+",' ". .,:':.

Please check whether you have got the rieht quesiign pS[er-.1L.QuestionNo.1iscompulsory.,...l,.12. Solve any THREE from the remaining FIVE queE(ions. 1 ,,

3. Assume suitable data if required.t.

Q'1a)Whatiscrosscorrelationandautocorrelationofthesystem'

b) Determine the even and odd part of the following continuous time signals.i) x(t) = sin2t + cos 2t + sin t cos2t

ii) x(t1 = s-t t1,,

N.B:

i) y(t)=x'(t)ii) y (t) = ex (t)

:: 4:(b) .,' ', ':"; ::..- rr .1i;:, .t' j, ,,., : .a.!'

, .-l . ',.1

t'g.(a )I l,

d) Determine whether the given systems are.linear or non linear.

e) Justify the following with Fourier series,i) Odd functions only have sine terms and even function have no sine terms

Q.2 a) Prove the following properties of Fourier Transform,i) Time shifting ii) Frequency Scaling iii) Time Convolution iv) Time Scaling

b) Determine the Fourier series of the following signal shown:-

10

10

!)

1

F9 7B F 8 C F49 4 AE2E 1 8F 297 D C3 427 E8 AIB

x

A

-T .r/2 0

-A

r/2 T

t

T1424 IT1069 SIGNALS AND SYSTEMS

,'Q.P. Code :11966'.'.: " | .,,,

Q.3 a) Find the transfer function, impulse response and step response of a Continuous time LTI system, also -10

sketch the impulse and step response.dv(t\

+ 2Y(t) = 3x(t)d"t

y[n]=x[n]+0.8x[n-1.]+0.8x[n-2].0.a9y[n-2]

Determinethetransferfunctionofthesystem.Sketchthepo|es&zerosofthez-plane'

Q.4a) PerformcircularconvolutionofthetwosequencesbyusingtabularArrayandbyusingMetricsmethod. 10xllnl={2,1,2,1} and xz[n]= 11,2,3,4]

1 1 .':.,b) Solve the difference equation for a given system using Z-transform. 10

y[n] - 3y[n-1] -ay [n-2] = xlnl+2x [n-1] , l',

Q.5a) ExplainGibbsphenomena,alsoexplaintheconditionnecessaryforconvergenceforFourier: series. 05

b) Determine the power and energy of the following continuouslime signals:- ' 05

i) x(t)=e-2tu(t)1.

ii) x(ll =stlzr+-)

i) -2>Re {s} > -4 ii) Re {s} <-4 ii)-,R" ,rr, -,

Q.6 a) Determine the inverse Z -transform of the following function:-

c) Find the inverse Laplace transform of:-X(S) = 47 (S+2)(S+4) if the RoC is

i) X(Z) =L/(]-t.sZ-L +0.52'z)ii) X(Zl =72 /V2 -Z+O.s)

10

5+5

b) Determine the convolution of the following signals using Z-transform,x1[n]=nu[n]x2 [n] =ln u In-1]

2

F978F8CF494 AE2E,1 8F297DC3427E8A 1 B

10

16 - sBrr.g c-&kj uxta rra .!- l+

(3 Hours)

20(a) Draw low pass first order active fiftgr

10

s,rl..'- nE-tr

N.B.: (1)

{2t(8)

(4)

Question No. 1 is compulsory.

1. Solve any five of the following :-

Figures to the right indicate fufi mad(s.Assume suitable data if required anO meriifonthe,Bar,ne in the,answer sheet.

Itfi,lasr campared to CE

r *le€l e-*1 7

I TURN OVER

'-i "

::-:"lfq::'i'

' i\.. ,.i,, ;:. ,-:.

r wi{h pararne'ter

(b) What is cross over distortion ?.(c) Determine unity gain

kn = o.as mNV2, vnr = lv' Assume MOSFET is

(d) Draw high frequency(e) Why Cascode

:: Amplifier with

2

meters are kn = 0,S mnA\jV,2,

h: 2 v and cr- = 5 pr' oeLrmine lower cut-off ir.or"o., and sma, signar vottage

,and derjv€ expression l0

{*ro J

ll't',*,,,

Fig.4a,::]

e circuit diagr'enn ano small signal equivalent circuit of Darrington configuration 1otve expresgion'for its input resistance and current gain..l: -

!9,r,. a, the parameters are : 10*'A.7 V, 0 = 75 and Vn - *.l",,frr, l"r, l.., ;.

'^

10

91g1 * ifi I

(*. *t0#F

3.

4.

t(i

(b)

- ":!. '

4E2 I DEFB9D6DC3659OCFF898878C6E52

I TURN OVER

for differential voltage(b) Draw circuit diagram o

gain, in put

V+ = 9V, V-*

forvoltage 10

,.+. -, -.. :j:,- .:-1- '. -\' .l

3

S. (a) Draw circuit diagram of class B power amplifier. Explain its. working wilh,tha help of 1O

Vo = oo.

(i) lc, lce, lE, V"a., and Vro ,,. ,,; .: ":1.. .. . .,, . , .

(ii) Catcutate ditferential voltage gain Ad fgr"ergl#U:q,qlffitha,oplleotof of--- - -----9- e .. . ..i.:,:.;..-,.'.r;". ,' ...,., .',':.r:

() .':.i,,-" ,.. ";.:'' -, :''.,:;.:i ..' ... .'.. ..-.'z .:.:,..;, .':i. .' :j' ,, , l::".-- .... ,....!_ q..., .,...,;,,1."..,,-"...'r .l .;-- 'i ' ,,1" :r.. ... ,

. .ii. . , '. ..i': a .j

..-'. .-,., . .:

6. Write short notqlS:qn

;}"'. ::, :+r.;'-.',.5.'

20

(a) r

(b) 'l

(c) I($).r.1

(B) t

482 1 DEFB9D6DC3659OCFF89887 8C6852

waveforms and derive expression for power

.r'

SE (tr rn Exr C CB 4s ,4qy zot*T1424 I T1067 MICROPROCESSORES AND PERIPHERALS

(s)

(s)

{s}

ts)

(10)

(10)

(10)

(10)

(10)

(10)

,tl.5

Q.6

( rrjJ

(10)

(10)

{10)

g

Q.P.Code: AL6749

(REVTSED COURSE)

(3 Hours) [TotalMarks:80]

Note: 1) q.f is cornpulsory

2l Answer any 3 out of remaining questions

Q.1 (A) Explain the functron of HOLD, HLDA, AL[, and AD0"AD7 pins of processor 8085,

(B) Write features of 80286 niicroprocessor.

(C) Explain memory segmentatiorr of 8086.

(D) Write control word of 8255 to initialize port A as input port, port B arrd C as

output poft, group A and B in mode 0

Q.2 a) What are different types of iriterrupt supported by 8085 and explain lVT.

b)State purpose of interfacine 8259(PIC)to 8086. Exptain interfacing of

8086(mininrum mode) and 8259(single mode)

Q.3 a) Draw and explain the irrterfacing of Math co-processc,r with 8086.

b) Explain Minirrum rnade of 8086 micr-oprocessor. i)raw timing diagrain for Read

operation in Minimum rnode,

Q.4 a) Design an 8086 based system with following specifications.

i. 8086 CPU working at SMHz

ii. 32 KB EPROM using 16K device

iii. 32 KB SRAM using l"6K device

b) Explain different modes of operation of 8257 DMA controlier.

a) Write a programme to set up 8253 as square wave gerlerator with 1 rns period

if input frequency of 8253 is l- Mz

b) Explain in detail stru.,hed input output mode of E255.

a) Write a program for 8086 to find out the maximunr number from an array ofL0 numbers,

b) Draw and explain inter-facing of DAC 0808 with 8lB5 Microprocessor using 8255.

Write a program to generate the square wave.

zSf *_rf 2*at ?

7 879A 898488CA74il2i)t U r i r Ll50( .10F10u

s. o f tr* ry I orr, / cBQs P*s? *au{ atY 1- b- t7

[Time: Three llours]

Ql.

N.B:

Attempt AI{Y FOUR out of the.Compare parallel polarization and

td:

current with

freld for a dielectric-

the electric field on the other

(a)(b)

(c)(d)

A zero potential reference is at ra;placed at origin. Find potential.-{i.rExplain ducting effect. UDeterrnine the potentialfollowing flgure using Fr

-; : ,,1

'"r'.4*

fr.tlnwe6rr:fre" .pace and a dielectric

Rry.fidx+to the interface in free space

t0sl

[8+2]

[0s]

of I2+l+21

[3+2]

i

O92EF8E I 77DD96EBE2'79CFD3C572 1 5OA

TURN OVER

T1424 / T1068 S,E.(ELECTRONTCS & TELE COMMN ENGOXSEM rV) (CBSGS) WAVE

2. Attempt any three out of the3. Draw neat diagrams wherever

Q2. (a)

,..:, '

achieve Circular polarization,

, side.of the inter ce.' ,...,..,r rr .. ,(-c) ,Eefiue Poladization

,.' .': ' ' Polarization? State the.,'.:. ..:ii ..r.!],.:, .. :

.

-i .-. .-ir ".' .:' '"^/. : ' i .,.ej,.-(i), STry do we use Numt

-i ,*. ._,ir '. ":'.:'."' 'l ' 'j ; l'i " 'ei,i' 1' siliy do we use Numeri.

.',r r ., ',:,: ,',, ,1., . FDMrf,EMand,MOM."""_ "':':rj''':' --'-'1:'i' _'*_

.!. .:, ".1 . , . :- *. ',.' : ., ;", -

l"l -: ,

,:,,.,,, ;.,..t -i:,,;,". . l'" ; :" ;:': - . .'r,.'., .",,..;:: .. .','.,,','",,-': ,' :'-..' '' . i; .. ':- '' " '' 11 . . ,.t

' ' i..-'r

'

'-=; ,'1:i '..r a..:i ''";.':, 'r-;,, t,;."',..

I

.t' ,.,,. -':'.:i-::'r,,,,..,].".i'il.' .' l. ,.;, ^-;:,..,.j ,,..:"..:. .

. rr,':rrr.,'rQ3;: .h\ lVhy do we use lrlumqnciFDM. FEM and MOM.

-1, .,*., .,.' L"t

-'.-,,,11,;;i;i.,'.i:'t,,1; .,";":.t..;.:.. .=: ;., I

.1"1::. r'.,',;-1. .:,.,-. I -','i.,, ;,: '' '' ',,',.."'

i,ii.;r;: ;.,.,,,; 'r1,.:' . ' ', rr i "-

r' r

la:*' ji.i.,t.',it -i, i,iu:i. ,' l'.'-, 'l,t-' i--',-1;'..,':"':.:' . l,.."r'"' .