~ '1 '~I ~e.r-n-'ij e)< 'i c. / (2.e.v/ ~ ~:- M. P.M.C -'Jf r.:.~ '2..0/12.. '2.-'3/0f'/ ,"-

Con. 3915-12. Ub - @ . GN-7022

(3 Hours) [Total Marks: 100

N.B.: (1) Question No.1 is compulsory.(2) Solve any four questions out of remaining six questions.(3) Figures to the right indicate full marks.(4) Assume suitable data ifnecessary.

1. a) Withthehelpofadiagramexplainthearchitectureof 8085microprocessor.1. b) Writeanassemblylanguageprogramto multiplytwo 8 bit numbersfor executionan

8085processor

1. c) Writeanassemblylevelprogramto enableall interruptsof 8051andsettheirpriorityto low.

.1. d) DescribeanyfourfeaturesofARMprocessor.

2. a) Explaininterruptstructureof8085withan~~tdiagram.I. b) Withsuitablediagramsexplainhandshakemode.of8155.

3. a) DescribeaddressingmodesofARMprocessor.3. b) Explainthe internalstructureof Port1 andport 3 of 8051.

4. Designa 8085basedmicroprocessorsystemwiththe followingspecifications:CPUof6MHz,EPROMof8KBusing4KBchips,RAMof8KBusing4KBchips,one8255PPIataddress20Handone8279 at address30h.Discussthe circuitandshowthe memoryandI/O map.

5. a) ExplainICWsandO.CWsof8259PICs. b) Writeaprogramto converthexadecimalnumbertoBCDnumberwithoutusingDM

instruction.

6. ,a) Discussrelativemeritsanddemeritso.fvariousdatatransfertechniques.6. b) Writeaprogramto transmita byteusingSODpin.

6. c) Writeaprogramto generatea1KHzfrequencysquarewaveusing8254.

7. Writeshortnotes(anyfour):a. Serialcommunicationin8051b. MemoryrelatedinstructionsofARMmicrocontrollerc. 8251USARTd~ Reentrantandrecursivesubroutines

e. 8085flagsandtheir usage

84

4

4

1010

1010

20

1010

686

20

.-

/- 12/-0;([ C/Y0M~~/ J(/SoA};'-'~f c. 5 . / ~~")2..--

Lib. tbPY f3 jxJ;~otl(>r;(IL-...

Con. 4754-12

(3 HOL:rs)GN-9407

[ Total Marks: 100. .N.B.:

1. Attempt question 1 which is compulsory and any 4 questions Crorathe remaining 6 questions.2. Draw neat diagrams wherever necessary. Related wavefonns should be drawn one below the other.3. Answer should be brief and to the point. .

4. All sub-questions of the srpne question should be answered at one place.only in their serial order, andnot scattered. .

5. Write eyerything in ink only. Do not use Pencil

1. (a) Find the transfer function from the signal flow graph given in Fig. lea) [5]

£1R(s)

~. C(s)

~

Fig. l(a)

(b) Find the steady-state errors due to unit s.tep and unit ramp inputs for a unitynegative feedback system whose open loop transfer function is

[5]

K

G(s) ==s(s + 1) .

r-

(c) Find the position and velocity error coefficients for the system with open loop50

transfer function G(s) = .(1 + O.1s)(l + 2s)

[5]

..

(d) Detennine the stability of the system that has the transfer function (5)

6(s +1) .G(s) ==(s4 + 2s3 + 9s + 6)

[ TURN OVER

Con.-4754-GN-9,i107-12. 2

2. (a) For theRLC network shown in Fig. 2(a), determine

(i) transfer function,(ii) state space equation.

C L. .

~Vov.o-1 (t)~) L -

'~.

Fig~2(a)

(b) Consider the block diagram of a system shown in Fig. 2(b). Determine C(s)/R(s) using [10]- block reduction techniques. - .

C(s)

H2

. Fig. 2(b)

3. (a) Open loop gain of a unity feedback system. isG(s) = 200 . Determine, when the- .. s(s + 2) '.

.- system is~excitedby unit step input,

- (i) Damping coefficient,(ii) first overshoot.

Since the system is under-damped, and hence non-periodic, why should it have a dampedfrequency?

[5][5]

-,

[2][2]

[2]

Note:-rE

[Total Marks: 100~ (3 Hours)

G X TC ~ ~ P-Q/V" rncvo . ;2.r;;:JI L

SuJo: --p-, S 'N1. QuestionNo.1 is compulsory.2. Attemptany four questionsout of remainingsix questions.3. Illustrateanswerswith sketches whereverrequired.4. Assumesuitabledata wherevernecessary.

Ql (a) If A and B are any two events, then prove that P(AuB) = peA) + PCB)-P(AnB)

(b) Explainthe conceptof conditionalprobabilitywith an example.

(c) StateandproveBaye's Theoremand total ProbabilityTheorem.

Q2 (a) Definediscreteand continuousrandomvariables,giveone exampleof each type. Define

expectation of discrete random variable and continuous random variable.

(b) Suppose two million lottery tickets are issued with 100 winning tickets among them.

(i) If a personpurchases100tickets,what is the probabilityof winning?

(ii) How manyticketsshould onebuy to be 95% confidentof havinga winningticket?

Q3 (a) Find the characteristicsfunctionof Poissondistributionand find it's mean andvariance.

(b)Let X be a randomvariablewith CDF Fx(x)and PDF fx(x).Let y=aX + b where a and bare

real constants and ai- O.Find PDF ofy in terms of Fx(x).

Q4 (a) Supposethat X and Yare continuesrandomvariableswith Joint ProbabilityDensity

functionxe-Y

fxy(x,y) = z-; 0 < x < 2, y>O

=0 elsewhere

(i)(ii)

Find thejoint cumulativedistributionfunctionof X and Y.Find the marginalprobabilitydensityfunctionsof X and Y.

Q5 (a) DefineCentralLimitTheoremand give its significance.

(b) Describe sequence of random variables.

(c) If two randomvariablesare independentthen prove that the densityoftheir sum equalsthe

convolutionof their densityfunctions.

[05]

[05]

[10]

[10]

[10]

[10]

[10]

[10]

[05]

[05]

[10]

Q6 (a) Consider a random process X(t) defined by X(t) =ACos (rot +9); -00 < t < 00 where A and ro

are constantsand e is a uniformrandomvariabllfovt:r-~! 1t}.Showthat X(t) is WSS.

(b) Provethat if the input to a lineartime invariantsystemis"-WSSthen the output is also WSS.

Q7 (a) Explainpowerspectraldensity. State its importantpropertiesand proveanyone property.

(b) State and prove the Chapman-Kolmogorov equation.

{iO]

[10]

[10] .

[10]

. [;';0/&fI}c:-!i41?1~~TC(.~( 6vb:;-- ~P[![)/ f# ~~i9L f b. cPf'( "(3@ [ TomlMarks: 100JJ 1'-" 2J Isjh--

N.B.: (1) Question No.1 is comdulsory.(2) Attempt any four questions from Q. 2 to Q. 7.(3) Assume suitable data if necessary.

1. (a) Draw equivalent circuit representation of two wire transmission line. Explainprimary and secondary parameters for the same.

(b) Explain chip resistors and chip inductors with neat diagram.(c) Define: Smith chart, compressed Smith chart, VSWR, Reflection co-efficient,

characteristic impedance.(d) Explain physical properties of semiconductors.

5

55

5

2. (a) Show that return loss and insertion loss can be expressed in terms of voltagestanding wave ratio as-

RL= 20 10 SWR + 1. g SWR - 1

IL = 20 log SWR+ 1. -2JSWR

(b) The characteristics impedance of a coaxial cable is 75'Q and assumed lossless. 10If the load is short circuit. Find the input impedance if cable is 2 wavelength,0.75 wavelength, 0.5 wavelength and one wavelength in length.

10

3. (a) Find the attenuation of 4-element, 2.5dB ripple, ,low pass Chebyschev filter 10W

-=2.5at W

c

(b) Explain Richa.rd's transformation and Kuroda's Identity. How they are used in 1;)realization of RF filter?

..

4. (a) Derive power consideration for transmission line when---(i) Load and source impedances are matched.(ii) Load impedance is matched and source impedance is mismatched.

(b) ,.Draw.electric equivalent circuit for high frequency capacitor withcharacteristics.Compute high frequency impedance of 20 PF capacitor in terms of frequencywhose-dielectric medium consists of an aluminium oxide possesing a seriesloss tangent of 10-4 and whose leads are 1.25cm with AWG26 copper wire.(J = 64.516 x 106 Q-1 m-1oo~ .

"10

10

5. (a) Show the RF small signal circuit model of BJT and equivalent model using miller 10effect. Find the valves of Cm1'Cm2in terms of CCb'Vbeand Vce'

(b) Explain structure of microstrip line along with design steps for microstrip line. 10

6. (a) Explain different filter parameters along with generic attenuation profile diagram. 10(b) A transmission line of characteristics impedance Zo = 50Q and d = 0.18A is 10

terminated in a load impedance of ZL = (25-j30) n. Find reflection coefficient,input impedance at distance d and VSWR by using Z-Smith chart.

7. Write short notes on following :-(a) High Electron Mobility Transistor(b) PN-Junction diode(c) Diode Models .

(d) AC parameters of Bipolar Transistors.

20

u_----------

.......J

Q.1 A

B

C

D

Q.2A

Q.3A

Q.4A

Q.SA

J,E / ~~ ;1t£1'--7~ 1 ~ / ~ Ie s./ .f?J~_'Lo'i.- .

-- / ~ , /° e:,(t L(3 Hours) . GN-8714

L, h .-~ or-oS- [Max. Marks: 100N.B 1) Question no 1 is compulsory.

2) Attempt any four out of the remaining questions.3) Assume suitable data if required.

Determine whether the following signals are energy signals or power signals? Calculatetheir energy or power

1) X(t) = A cos(27ifot+ e)

2) x(n)=(~rU(n).

Let x(n) = u(n + 1)- u(n - 5). Find and sketch even and odd parts of x(n).

Mention and explain the conditions for the system to be called as IIR.State and explain Gibb's phenomenon.i) Plot the signals with respect to timex(t) =u(t) -r(t -1) + 2r(t - 2) -r(t -3) +u(t - 4) - 2u(t - 5)ii) Find the even and odd parts of the signal.State and prove the following properties of the Fourier transform

i) Frequency Differentiation and time integration.

An analog signal x(t) is given by x(t) =2cos(20007lt) + 3sin(60007lt) + 8cos(120007lt)i) Calculate Nyquist sampling rate.

ii) If x(t) is sampled at the rate F(s) = 5KHz .what is the discrete time signal

obtained after sampling.iii) What is the analog signal y(t) we can reconstruct from the samples if the ideal

interpolation is used.Find the Laplace Transform of the signals shown below.

B

B

b-

"'(t)l

b--W"' '--

- t0t0

h(t)

, l e-2t

'~0

Obtain the transfer function of the system defined by the following state spaceequations

l

x~(t)

j l

=- 1

x2(t) = 0

x3(t) 0

[

Yl(t)

]=

[

1

y2(t) 0

1 -I

J [

X1(t)

] [

1

- 2 1 x2(t) + 0

0 -3 x3(t) 1

1 1

][

Xl(t)

]

x2(t)1 1

x3(t)

:l[

U1(t)

]OJ u2(t)

~

B Findthe state equation and output equation for the systemgiven by1

G(s) =S3 +4s2 +3s+3

Find the Fourier series for the function x(t) defined by-T

}

2<';°O<t<-2

2TCAnd x(t+T) =x(t), liJ 0 =-

T

{

ox(t) =

A sine liJot

05

05

05

0510

10

10

10

10

10

10

B

Q.6A

Q.7 ABC

.-

B

"

Obtain the Fourier transform of rectangular pulse of duration 2 Seconds and having amagnitude of 10 volts.

Develop cascade and parallel realization structure for

z 5 -1 1 -2-+-z +-z

H(z)=6 24 241 1 -I 1 -2

--z +-z2 4

Determine the system function, unit sample response and pole zero plot of the system1

described by the difference equation yen) -- yen -1) = 2x(n) and also comment on2

type of the system.Explain the relationship between the Laplace transform and Fourier transform.

State properties of state transition matrix.State and discus the properties of the region of convergence for Z-transform.

"

10 ,"

10

10

07

0607

,