Signals & Systems
Unit No. - 1 Question Bank
Signals
Q.1) Classify and explain different types of Signals.
Q.2) Explain the concept of Periodicity in Continuous Time Signals.
Q.3) Explain the concept of Periodicity in Discrete Time Signals and differentiate it from Continuous
Time Signals.
Q.4) Write a short note on Deterministic and Random Signals.
Draw the waveform of the following Signals:Q.5)
x1 (t )  u(t  1)  2u(t )  2u(t 1)
Q.6)
Q.7)
x2 (t )  r (t  1)  r (t )  r (t  2)
For x[n]  3, 2, 1, 0, 1, 2, 3 and y[n]   1,  2,  3, 0, 1, 2, 3 sketch the
following signals:(i ) x[3n  1]
Q.8)
(ii) y[1  n]
(iii) x[2n]  y[n  4]
For a given signal x(t )  u (t )  u (t  4) , sketch the following signals
(i) z (t )  x(t  1) (ii) y(t )  x(t )  z (t )
Check whether the following signals are periodic. if yes, find fundamental period.

Q.9)
 (1)  (t  2k )
k
k 
Q.10)
Q.11)
Q.12)
x[n]  (1) n
x(t )  3u(t )  2 sin 2t
 n   n 
x[n]  cos  cos

6  6 
Check whether the following signals are Energy Signal or Power Signal.
Q.13)
x(t )  sin 2 0t
Q.14)
x(t )  Ae t u (t ), a  0
2n
2n
x[n]  sin
 cos
3
5


x[n]  cos  0.3n 
2

Q.15)
Q.16)
Determine whether the following systems are memoryless, causal, stable, Time invariant and
Linear
Q.17)
Q.18)
y(t )  etx (t )
y(t )  x(t / 2)
y(t )  cos[x(t )]
Q.19)
Q.20)
y[n]  2 x[2n ]
Q.21)
y (t ) 
t/2
 x( )d


Q.22)
y[n]  x[n]   (n  2k )
k 
Q.23) Explain the Causality and Stability Property of LTI Systems
Find even and Odd components of following signals.
Q.24) x(t )  1  t  3t 2  5t 3  9t 4
Q.25)
x(t )  cos(t )  sin( t )  sin( t ) cos(t )