Farrah Fawaz ELEC 242 Signals and Systems Winter 2025 Final Review Notes (everything you need to know) Concordia University

Farrah Fawaz ELEC 242 Signals and Systems Winter
2025 Final Review Notes (everything you need to
know) Concordia University




ELEC 242 – Final Review

1. For the system below:

x(t) y(t)
h(t) = e−3tu(t)



a) Use convolution to find y(t) if the input is the step signal.

b) Find y(t) using the Laplace transform if the input is the step signal.

c) Find the system transfer function.

d) Fine poles and zeros.


Solution:

y(t) = x(t)  h(t) =


y(t) =  x( )h(t −  ) d 
−


e
y(t) =  u( )e−3(t− )u(t −  ) d
−
−

3

, e u(t −  ) d
t 3
(1)
0



(2)




(3)


= e−3t  e3u(t −  ) d
0



If t  0 , then u(t −  ) = 0 for any   0, ) :
y(t) = 0 . (4)




1