*NEW! *** The Gist (FREE) | E-BOOKS | **

# (Download) UPSC IES Exam Paper - 2018 "Electronics and Tele Communication Engineering Paper - 2"

## (Download) UPSC IES Exam Paper - 2018 "Electronics and Tele Communication Engineering Paper - II"

**Exam Name: Engineering Services Exam (IES)**

**Paper : Electronics and Tele Communication Engineering Paper - II**

**Year: 2018**

**File Type: PDF**

**Electronics and Tele Communication Engineering**

**Paper - II**

**Time Allowed : Three Hours**

**Maximum Marks : 300**

## QUESTION PAPER SPECIFIC INSTRUCTIONS

**Please read each of the following instructions carefully before attempting
questions.**

Answers must be written in **ENGLISH **ONLY.

There are **EIGHT** questions divided in **TWO** Sections.

Candidate has to attempt **FIVE** questions in all.

Question Nos. **1** and **5** are **compulsory** and out of the
remaining, **THREE** are to be attempted choosing at least **ONE**
question from each Section.

The number of marks carried by a question / part is indicated against it.

Answers must be written in the medium authorized in the Admission Certificate which must be stated clearly on the cover of this Question-cum-Answer (QCA) Booklet in the space provided. No marks will be given for answers written in a medium other than the authorized one.

Assume suitable data, if considered necessary and indicate the same clearly.

Unless otherwise mentioned, symbols and notations carry their usual standard meanings.

Attempts of questions shall be counted in sequential order. Unless struck off, attempt of a question shall be counted even if attempted partly. Any page or portion of the page left blank in the Question-cum-Answer Booklet must be clearly struck off.

## SECTION ‘A’

**1.(C) What is the role of cache memory in computer ? With the
help of suitable schematic, explain how L2 cache is added to a microprocessor
with an on-chip Ll cache. **

**1.(D) Determine the null to null beamwidth of a 20 element
antenna array where the interelement spacing is 0.5 a operated as end fire
array. If the same array is to be operated for the same null to null beamwidth
in broadside operation, find the number of elements required for the array.**

**1.(E) System is characterized by y[n] = a.y[n] + x[n] + b.x[n
– 1] where a, b are constants.**

**(i) Draw Signal flow graph for the system.
(ii) Plot impulse response of the system.
(iii) State restrictions on the system constants so that system is LTI.**

**1.(F) For a microwave link, define all the components
contributing to system gain. Determine system gain for a microwave link
operating at 1.8 GHz carrier frequency. Each station has a 2-4 m diameter
parabolic antenna fed by 100 m of airfilled coaxial cable. The distance between
stations is 40 km. A reliability objective of 99.99% is desired. The terrain is
smooth and climate is humid. **

**Assume feeder loss = 10-8 dB, branching loss = 4 dB and gain
of each antenna = 31-2 dB.**

**2.(A) Consider the experiment of tossing a fair coin. The
random process X(t) is defined as follows : X(t) = sin(pt),
if head shows up and X(t) = 4t, if the toss results in a tail. Sketch the sample
functions. Find the expression for the PDF of the random variables obtained from
sampling the process at (i) t = 0, (ii) t = 2.**

**2.(B)**

**
**

**2.(C) Five soldiers, A, B, C, D, E, volunteer to perform an
important military task if their following conditions are satisfied :**

**(i) Either A or B or both must go.
(ii) Either C or E, but not both, must go.
(iii) Either both A and C go or neither goes.
(iv) If D goes, then E must also go.
(v) If B goes, then A and D must also go. **

**Define the variables A, B, C, D, E such that an unprimed
variable will mean that the corresponding soldier has been selected to go.
Determine the expression which specifies the combinations of the volunteers who
can get the assignment. **

**3.(A) (i) Let the AM signal at the input to envelope
detector, has the modulation index of 0-5 with the carrier amplitude of 2 V.
Message signal, m(t), is a tone signal of frequency 5 kHz and the carrier
frequency f.>> 5 kHz. If the (two-sided) noise PSD at the detector input is 10 ^{-8}
watts/Hz. What is the expected (SNR)_{°} of this scheme? By how many dB,
this scheme is inferior to DSB-SC?**

**(ii) Determine the Nyquist sampling rate and the Nyquist
sampling interval for the signals : **

**(A) sin c(100 t) + sin c(50 t)
(B) sin c(100 t) + 3 sin c ^{2}(60 t)
(C) sin c(50 t) sin c(100 t) **

**3.(B) (i) A circular disk of radius 2.54 cm with a charge
density 8 sin mC/m2 is enclosed in a surface S. Determine the net flux crossing
S. Now, if the disk is divided into four equal quadrants and one quadrant is
placed inside the same surface what will be the net flux crossing S? **

**(ii) The potential function between two concentric cylinders
varies in a natural logarithmic manner. If the Ě field between two cylinders is
to vary as 50/Y a ^{n}_{y} V/m in a concentric cylindrical system
of radii r_{inner} = 2 mm and r_{outer} = 25 mm find the
potential difference needed.**

**3.(C) The downlink C/N _{0}, ratio in a direct
broadcast satellite (DBS) system is estimated to be 85 dB-Hz. The specifications
of the links are :**

**Satellite EIRP = 57 dBW
Downlink carrier frequency = 12.5 GHz
Data rate = 10 Mbps
Required Eb/No at the receiving earth terminal = 10 dB
Distance of the satellite from the receiving earth terminal = 41,000 km.**

**Calculate the minimum diameter of the dish antenna needed to
provide a satisfactory TV reception, assuming that the dish has an efficiency of
55 per cent and it is located alongside the home where the temperature is 310 K.
For this calculation, assume that the operation of the DBS system is essentially
downlink limited.**

**4.(A) (i) Show the value of all bits of a 12-bit register
that holds the number equivalent to decimal 215 in **

**(A) binary
(B) binary coded octal
(C) binary coded hexadecimal and
(D) binary coded decimal.**

**(ii) There is an asynchronous communication interface between
a CPU and a printer. Draw a flowchart that describes the sequence of operations
in the interface when CPU sends characters to be printed.**

**
**

## SECTION - B

**5.(A) Binary antipodal signals are used to transmit information over an AWGN channel.**

The prior probabilities for the two input symbols are 1/3 and 2/3.

The prior probabilities for the two input symbols are 1/3 and 2/3.

**(i) Determine the optimum maximum likelihood decision rule for the detector.
(ii) Determine the average probability of error as a function of E _{b}/N_{o}.
**

**5.(B)
Derive the expression in time domain for the unit step response of second order
system. **

**5.(C) A CPU with a 20 mHz clock is connected to a memory unit having access
time of 40 ns. Formulate a read and write diagram showing respective strobe. **

**5.(D)
An air dielectric rectangular waveguide has dimensions of 16.52*8.26 cm ^{2}. When
it is short circuited at one end and fed with power at the other end, it is
found to have 20 cm distance between two successive minima on the waveguide.
Find the cut off frequency of the waveguide, operating frequency of the signal
and wave number assuming TE_{10} mode of operation.**

**5.(E) Design binary serial adder using DFF performing following operation
on reset pulse of one clock pulse duration at t= 0.**

**
**

**Provision should be made to assert C _{in,0} as 1 or 0 during the
reset pulse.**

**5.(F) Define different types of losses encountered while setting up a
fibre-optic link. Determine optical power received in optical fibre link with
following specifications :**

**Link length = 20 km
LED output power = 30 mW
Optical cable loss = 0.5 dB/km
Source to fibre interface loss = 2.9 dB
Fibre to detector loss = 2.1 dB**

**6.(A) (i) With proper schematic, show the launch and propagation of light
in optical fibre. Discuss the relationship between critical angle and numerical
aperture.**

**(ii) The active region of a 1.3 um Fabri-Perot InGaAsP laser is L = 250
um, internal loss coefficient a _{int}
= 30 cm^{-1}, mode refractive index n = 3-3, the confinement factor
La=0.4. Neglect the material dispersion. Find the material gain, g_{m},
required for the laser to reach threshold. Find the distance A_{vL}
between FP cavity modes.**

**6.(B) Draw a detailed flow-chart for a program to check for a CR code
(hexadecimal OD) in a memory buffer. The buffer contains two characters per
word. When the code for CR is encountered, the program transfers it to bits (
through 7 of location LNE without disturbing bits 8 through 15. Justify the
action taken in each block of flow-chart taking an appropriate example.**

**6.(C) An ISP is granted a block of addresses starting with 190.100.0.0/16
(65,536 addresses). The ISP needs to distribute these addresses to three groups
of customers as follows:**

**(i) The first group has 64 customers; each needs 256 addresses.
(ii) The second group has 128 customers; each needs 128 addresses.
(iii) The third group has 128 customers; each needs 64 addresses. **

**Design the subblocks and find out how many addresses are still available
after these allocations.**

**7.(A) (i) Consider a discrete memoryless source whose alphabet consists of
K equiprobable symbols. **

**(A) Explain why the use of a fixed-length code for the representation of
such a source is about as efficient as any code can be.
(B) What conditions have to be satisfied by K and the codeword length for the
coding efficiency to be 100 per cent ?**

**(ii) A DPCM system uses a linear predictor with a single tap. The
normalized autocorrelation function of the input signal for a lag of one
sampling interval is 0.75. The predictor is designed to minimize the prediction
error variance. Determine the processing gain attained by the use of this
predictor. **

**7.(B) An open loop system has transfer function**

**G(s)H(s) = 100 / (s+1)(0.1s +1) **

**Discuss the stability of the closed loop system by Nyquist stability
criterion. **

**7.(C) (i) Consider a demand paging system with following time measured
utilizations :**

**– CPU utilization = 20%
– Paging disk = 97.7%
– Other I/O devices = 05% **

**For each of the following, say whether it will (or is likely to) improve
CPU utilization. Explain your answer.**

**– Install a faster CPU
– Install a bigger paging disk
– Increase the degree of multi-programming
– Install a faster hard disk, or multiple controllers with multiple hard disks.**

**(ii) A computer has 2 GB of RAM of which the operating system occupies 256
MB. The processes are all 128 MB and have the same characteristics. If the goal
is 99% CPU utilization, what is the maximum I/O wait that can be tolerated ?**

**8.(A) (i) If the energy stored in a system of two equal point charges
separated by a distance of 0-3 m is to be 400 nJ, find the charge required. The
medium is free space.**

**(ii) The conductivities of diamagnetic materials copper and silver are
given below :**

**ssilver = 617x10 ^{7} S/mscu = 3.72x107 S/m **

**Find the skin depths for both these materials at 10 kHz. Determine the
frequency at which copper material will have the same skin depth as that of
silver material at f = 10 kHz.**

**8.(B) (i) Ideal frequency selective filters (LP, HP, BP, BS) are
unrealizable in natural systems -- Prove with comments.**

**(ii) For function f (x _{1}, X_{2}, X_{3}, x_{4})
**

given by f (x_{1}, X_{2}, X_{3}, X_{4}) = S 3, 4, 8, 9, 10, 12, 15 and don't care terms f (x_{1}, X_{2}, X_{3}, X_{4}) S_{d}= 2, 2, 5, 11.

**(A) Minimize the function using K-map.
(B) Realize the above function on sum of product. (AND-OR) programmable logic
array.**

**8.(C) (i) Define the functionality of each layer in OSI model.
Differentiate switch (used in LAN) from router (used in WAN) on the basis of
layers present and their functions.**

**(ii) Give layered architecture of TCP/IP protocol and define type of
addresses used at each layer**