Colorado State University, Ft. Collins
Spring 2015
ECE 312: Linear Systems Analysis II (Signal
and Systems)
Homework 1
Assigned on: 02/03/ 2015, Due by: 02/17/2015
1.1
Use the definition of the unilateral Laplace transform and an
integral table to verify the following Laplace transforms, and
specify their regions of convergence:
(a)
2
22
2
sin
bs
bs
btt
L
(b)
22
cos bs
s
bt
L
(c)
2
1
as
te
at
L
(d)
2
1
s
tL
(e)
2
2
cos bas
as
tubte
at
L
1.2
Consider the waveform
tf
in the following figure.
(a) Write a mathematical expression for
tf
.
(b) Find the unilateral Laplace transform for this waveform,
using any method.
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