Gujarat Technological University –
Institute of Technology and
Research
Assignment - (CET-I), March -2026
B. E. Semester –IV (EE)
Subject Name : Signals and Systems
Subject Code : BE04009051
Q.1
Q.2
Q.3
Q.4
Q.5
Q.6
Define a signal. Differentiate between continuous-time and discretetime signals. Also give two examples of continuous-time and discretetime signals.
Define the following signals with sketch: Unit step signal 𝑢(𝑡) , Unit
impulse signal 𝛿(𝑡), Ramp signal 𝑟(𝑡).
Define the following: Static and Dynamic Signal, Stable and Unstable
Signal
Explain the Linear and Non-linear system with example.
Define periodic signal. Check whether the signal 𝑥(𝑡) = 5 sin(4𝑡) is
periodic or not.
Find the fundamental of the following signals.
𝑗3𝜋𝑡⁄
5
(1) 𝑥(𝑡) = 𝑒
Q.7
Q.8
Q.9
Q.10
Q.11
Q.12
Marks
2
2
2
2
2
2
𝑗3𝜋𝑛⁄
4
(2) 𝑥(𝑛) = 𝑒
Define energy signal and power signal with examples.
Determine whether the signal 𝑥(𝑡) = 𝑒 −2𝑡 𝑢(𝑡) is an energy or power
signal.
Determine whether the signal 𝑥(𝑡) = 𝑡 𝑢(𝑡) is an energy or power
signal.
Define Convolution of discrete time signals. Find the response of the
signals 𝑥[𝑛] = {1,1,1} and ℎ[𝑛] = {1,2}.
Define Convolution of continuous time signals. Find the response of the
signals 𝑥(𝑡) = 𝑒 −𝑡 𝑢(𝑡) and 𝑥(𝑡) = 𝑢(𝑡).
The input 𝑥[𝑛] and the impulse response of a system ℎ[𝑛] are given by
𝑥[𝑛] = 𝑎𝑛 𝑢[𝑛], ℎ[𝑛] = 2 𝑢[𝑛] , 0 < 𝑎 < 1 . Find the response 𝑦[𝑛] of
the system.
1
2
2
2
2
2
2