EETE 3110 MCBS Electronics and Communication Engineering Questions ELCTRONICS AND COMMUNICATION ENGINEERING…………………………………………

EETE 3110 MCBS Electronics and Communication Engineering Questions ELCTRONICS AND COMMUNICATION ENGINEERING……………………………………………………………. HIGHER COLLEGE OF TECHNOLOGY
SECTION:
DEPARTMENT OF ENGINEERING
CAE
EEE ?
MIE
Final Assignment
Semester: 2, A. Y: 2019 / 2020
Date of Assignment posting: 1st May 2020
Time: 11:00 AM
Date of Uploading: 3rd May 2020
Time: 11:00 AM
Student Name
Student ID
Specialization
ELCTRONICS AND COMMUNICATION ENGINEERING
Level
ADVANCED DIPLOMA
Course Name / Course Code
EETE3110 SIGNALS AND SYSTEMS
Section No.
SET 1
Moderator’sApproval:
PC’sApproval:
48 hours
Assignment instructions from Course Lecturer:
a)
b)
c)
d)
e)
f)
The necessary diagrams and equations should be mentioned clearly.
All steps to get the solutions must be indicated clearly.
Assumptions (if any) have to be written clearly.
Explain your notations and steps explicitly and clearly.
Type neatly and legibly.
You can refer e-books or use internet resources. But you should not cut and paste the material from
internet nor provide photocopied material from books.
g) The assignment answers should be in your own words after understanding the matter from the
above resources.
h) If the assignment is copied in part or whole from other student/Internet then HCT policy on
cheating will be applied.
i) References should be cited properly.
Student’s Declaration: (to be filled by student)
Student Name: __________________
ID: _________
(Digital Signature)
Page 2 of 7
Signature: _________
Question No.
Max. Marks
PART- 1
Q1 – Q4
10
PART- 2
Q5-Q6
10
PART- 3
Q7-Q9
20
Sub-Total
Marks
Grand Total
Marks
Obtained
Marks
Question No.
Sub-Total Marks
____ /40
Course Lecturer: Ms. Faridha Sajath
Second Marker:
Page 3 of 7
Max. Marks
Obtained
Marks
PART – 1 (10 Marks)
INSTRUCTIONS:
Write Short Answers/Solutions, Use Diagrams and Equations (If necessary)
Q1. A Continuous Time signal x(t ) is shown in figure 1 below:
[2.5]
figure 1
3?
?
Find the values of “ t ” for which x? ? 2t ? ? will become zero.
2?
?
Q2.
[2.5]
Given x(t ) ? u (t ? 3) ; ? 5 ? t ? 5 , Find and plot the even part of x(t )
Q3.
[2.5]
(i) Prove that convolution of any sequence with an unit sample is the sequence itself.[1]
(ii) Apply the above proof to find the convolution of ??(??) with an unit impulse delayed
by 3 units.
Q4.
[1.5]
?e j 20t ; t ?1
Obtain the Fourier Transform of the signal given by x(t ) ? ?
? 0 ; t ?1
Page 4 of 7
[2.5]
PART – 2 (10 marks)
INSTRUCTIONS:
The necessary diagrams and equations should be mentioned clearly.
All steps to get the solutions must be indicated clearly.
Assumptions (if any) have to be written clearly.
Explain your notations and steps explicitly and clearly.
Q5.
Find and plot the overall impulse response of the Linear Time Invariant (LTI) system shown
[5]
in figure 2. [Note: To plot the overall impulse response you have to compute h(n) ]
figure 2
[Note: Solve in a step by step procedure indicating the properties applied in each step]
??
Q6.
Find the energy and power of the signal ??(??) = 5 ? (? 2 ? 3)
[Note: You have to plot the signal x(t ) first showing all transformations involved in x(t ) ]
Page 5 of 7
[5]
PART – 3 (20 marks)
INSTRUCTIONS:
The necessary diagrams and equations should be mentioned clearly.
All steps to get the solutions must be indicated clearly.
Assumptions (if any) have to be written clearly.
Explain your notations and steps explicitly and clearly.
Q7.
A LTI system has an impulse response shown in figure 3. Determine the output response
[6]
? n; ?1 ? n ? 2
? 0 ; otherwise
of the system if the input is x(n) ? ?
figure 3 Impulse response
[Note: Graphical method of convolution must be used in the problem solving]
Q8. A discrete time system has an output given by y(n) ?
4 x(n ? 1)
x(n ? 1) ? 3x(n ? 2)
Check if this system is a LTI (Linear Time Invariant system).
Page 6 of 7
[6]
2
[4+2]
Q9. (i) State the need for Fourier Transform and give the steps involved in the transformation.
[1]
(ii) Apply the above steps to find the Fourier transform and the magnitude spectrum of
the following signals.
b)
x(t ) ? e
[5]
4t
[2]
__________________ End of the Assignment __________________
Page 7 of 7
[8]

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