NAME:_
STUDENT NUMBER:_
COURSE: (Circle one):
ENS3553
ENS5341
School of Engineering
_
SIGNALS AND SYSTEMS
LABORATORY SESSION 2 MANUAL
Each laboratory session is limited to 1.5 hours and must be completed half an hour before the end of
the lab session.
Wri

Edith Cowan University
School of Engineering
Assignment
Semester 2 2014
INSTRUCTIONS TO STUDENTS:
1.
You can work in groups of two (max) for the assignment (one submission per group). The
assignment may require you to do some extra material on your own bu

ENS3553 Signals and Systems Tutorial C
1. Find the Fourier transform for each of the following signals using the Fourier integral.
(c) x(t) = sin(2t)[u(t+1) u(t-1)]
2. Find the Fourier transform for each of the following signals using the transform proper

ENS3553 Signals and Systems Tutorial B
1. Consider the integrator below with impulse response h(t) = u(t). Using the convolution integral, find the
system response when the input x(t) is:
a) u(t 2)
b) e-2tu(t)
2. Verify the results of Question (1) using t

ENS3553 Signals and Systems Tutorial A
1. For the signal x(t) below, plot:
a) x(-t/3)
b) x(3t-6)
c) x(3+t)
d) x(2-t)
2. Plot the even and odd parts of the signal below.
3. For each of the signals below, determine mathematically whether the signal is even,

ENS3553 Signals and Systems Tutorial D
1. Find the Laplace transforms of:
(a) cosh(at) = (eat + e-at)/2.
(b) sinh(at) = (eat - e-at)/2.
2. Use the time-translation property to find the Laplace transforms of:
(a) Ku(t a), a > 0
(b) 6e-2tu(t-1)
3. Find the

ENS3553 Signals and Systems Tutorial C
1. Find the Fourier transform for each of the following signals using the Fourier integral.
(c) x(t) = sin(2t)[u(t+1) u(t-1)]
2. Find the Fourier transform for each of the following signals using the transform proper

Signals and Systems Tutorial D
1. Find the Laplace transforms of:
(a) cosh(at) = (eat + e-at)/2.
(b) sinh(at) = (eat - e-at)/2.
2. Use the time-translation property to find the Laplace transforms of:
(a) Ku(t a), a > 0
(b) 6e-2tu(t-1)
3. Find the inverse

ENS3553 Signals and Systems Tutorial B
1. Consider the integrator below with impulse response h(t) = u(t). Using the convolution integral, find the
system response when the input x(t) is:
a) u(t 2)
b) e-2tu(t)
2. Verify the results of Question (1) using t

ENS3553 Signals and Systems Tutorial A
1. For the signal x(t) below, plot:
a) x(-t/3)
b) x(3t-6)
c) x(3+t)
d) x(2-t)
2. Plot the even and odd parts of the signal below.
3. For each of the signals below, determine mathematically whether the signal is even,

Edith Cowan University
School of Engineering
Assignment
Semester 2 2014
INSTRUCTIONS TO STUDENTS:
1.
You can work in groups of two (max) for the assignment (one submission per group). The
assignment may require you to do some extra material on your own bu