Memorial University of Newfoundland
Faculty of Engineering and Applied Science
Engineering 4823 - Introduction to Systems and Signals
Assignment #3
1. The following are the impulse responses of continuous-time LTI system.
Determine whether each system is
Memorial University of Newfoundland
Faculty of Engineering and Applied Science
Engineering 4823 - Introduction to Systems and Signals
Assignment #2
1. Prove whether the following systems are Linear and Time-invariant or not.
2t
t
1
( t ) /( RC )
a) y (t
Memorial University of Newfoundland
Faculty of Engineering and Applied Science
Engineering 4823 - Introduction to Systems and Signals
Assignment #1
1. Let x(t ) be a signal with x(t ) 0 for t 3 . For each signal given below,
determine the values of t for
Memorial University of Newfoundland
Faculty of Engineering and Applied Science
Engineering 4823 - Introduction to Systems and Signals
Assignment #5
1. Use the Fourier series analysis to calculate the coefficients a k for the continuoustime periodic signal
Tutorial 1
1. For the circuit shown below, suppose V R (t ) 0 until V (t ) starts. Find V R (t ) for
V (t ) u (t ) where u (t ) is unit step function.
a) Set up model:
b) For V (t ) u (t ) , find VR (t ) :
1
2
2. For a circuit represented by
d
1
d
L d
VR
Tutorial 3
1. Write the expressions for x(t ) and x (t ) .
2. For a system y (t ) Odcfw_x(t ) , determine whether the system is L and TI or not.
1
3. Given y (t ) S [ x(t )] which is a linear system, you have observed
x1 (t ) e j 2t S y1 (t ) e j 3t
x 2 (
Final Review
Midterm #1, #2 reviews and
I. Eigen function and transfer function.
1. Definition of eigen function.
2. Using eigen function to find y(t) for any input x(t).
3. Transfer function H(S) and its ROC determination.
II. Fourier series - for period
Memorial University of Newfoundland
Faculty of Engineering and Applied Science
Engineering 4823 - Introduction to Systems and Signals
Assignment #4
1. Suppose a signal x(t ) cos(2t ) is input to an LTI system that has an impulse
response h(t ) (t ) 2e 2t