This document contains assignment questions on signals and systems. It has two sections: Section A contains two multiple choice questions involving properties of systems, classification of signals, and sketching functions. Section B contains two essay questions, one involving determining the output of a linear time-invariant system using integrals, and another involving deducing the frequency response of a filter from its impulse response.

1. SULIT DEE40113: SIGNAL AND SYSTEM
ASSIGNMENT QUESTIONS.
KEMASKINI PADA 19.07.2019 2 SULIT
SECTION A: 60 MARKS
INSTRUCTION:
This section consists of TWO (2) structured questions. Answer ALL questions.
QUESTION 1
a) Consider the system shown in Figure 1. Ascertain whether it is a memoryless, causal,
or time-invariant system. Then sketch with the aid of suitable diagram Unit Step Function
and Unit Impulse Function Also state how both of these function operate.
Figure 1 / Rajah 1
[10 marks]
b) Signals can be broadly classified to continuous-time signal and discrete-time signal
based upon its nature and characteristics of the time domain. Discrete-time signal
and are shown in Figure 2.
Figure 2
Sketch and assign the signal for:
Lakarkan dan tetapkan isyarat untuk:
CLO1
C3
CLO1
C3
Multiplier

2. SULIT DEE40113: SIGNAL AND SYSTEM
ASSIGNMENT QUESTIONS.
KEMASKINI PADA 19.07.2019 3 SULIT
(i)
(ii)
(iii)
[10 marks]
c) Sketch in sequence for both of these function of and in
continuous time signal domain shown in Figure 3.
Figure 3
[10 marks]
QUESTION 2
SOALAN 2
a) A special class of system used in signals and systems exist where the system is both
Linear and Time Invariant. This is called a Linear Time-Invariant system (LTI Systems).
Demonstrate the operation of a Linear Time-Invariant system (LTI Systems).
[10 marks]
b) Use a tabulation method from Convolution Sum to operate a convolution between a
Discrete Time signal x[n] and a linear time invariant (LTI) system with the impulse
response h[n] as Figure 4 as shown below:
CLO1
C3
CLO1
C3
CLO1
C3

3. SULIT DEE40113: SIGNAL AND SYSTEM
ASSIGNMENT QUESTIONS.
KEMASKINI PADA 19.07.2019 4 SULIT
Figure 4
[10 marks]
c) The importance of the convolution operation in LTI systems stems from the fact that
knowledge of the response of an LTI system to the unit impulse input allows us to find its
output to any input signals. Using convolution method compute the output function of
related in figure 5.
Figure 5
[10 marks]
CLO1
C3
0 1
1
0 0.5 1
1

4. SULIT DEE40113: SIGNAL AND SYSTEM
ASSIGNMENT QUESTIONS.
KEMASKINI PADA 19.07.2019 5 SULIT
SECTION B: 40 MARKS
INSTRUCTION:
This section consists of TWO (2) essay questions. Answer the question.
QUESTION 1
Consider signal of a Linear Time Invariant signal is represented by the function of
. Determine output of this particular function using integral method. Also
inspect the inverse Laplace Transform of the given function below.
[20 marks]
QUESTION 2
A filter circuit is given as in Figure 6 below. The impulse response of the system is given as:
Deduce the frequency response, and plot the magnitude and phase response of the system.
Figure 6
[20 marks]
   
t
u
e
RC
t
h RC
t


1
CLO1
C4
CLO1
C5