EE 351 Signals and Systems
2010-2011
Website: http://www.engr.usask.ca/classes/EE/351/
Dr. David M. Klymyshyn
Office: 3B06 966-5393
Objective:
Understanding signals and systems and their representations in both the time and frequency domains is fundamental to Electrical Engineering. This course develops the student's understanding of mathematical transform techniques and their use in modeling the behavior of both analog and digital systems. It also develops the student's ability to apply system concepts and transform techniques in formulating and solving engineering problems. The tentative outline of the course is as follows.
Content (approximate and subject to change):
Fundamentals of Signals and Systems
Definition
Transformations of time
Exponential and sinusoidal signals
Unit Impulse and unit step functions
Continuous-time and discrete-time systems
Basic system properties
Linear Time-Invariant Systems
Convolution sum
Convolution integral
Properties of LTI systems
Fourier Series Representation of Periodic Signals
LTI System response to complex exponentials
Definition and properties of Fourier series
Convergence of the Fourier series
Representation of discontinuous signals
Discrete-Time Fourier Series (DTFS)
Continuous-Time Fourier Transform
Representation of the Fourier transform of aperiodic signals
Definition and properties of the continuous-time Fourier transform
The inverse Fourier transform, time-frequency duality, the uncertainty principle
Parseval's theorem
Example applications
Introduction to Communications
Complex exponential modulation
Sinusoidal amplitude modulation
Demodulation: synchronous & asynchronous
Frequency-division multiplexing
Sampling
Impulse-train sampling
Signal reconstruction by interpolation
The sampling theorem
Aliasing
Discrete-time processing of continuous-time signals
Discrete-Time Fourier Transform (time permitting)
Representation of aperiodic signals
Convergence of the DTFT
Fourier transform of periodic signals
Properties of the DTFT
The convolution property and its relationship to the DTFT
Relationship of FFT to DFT
Evaluation (suggested and subject to change):
Assignments 15 %
Midterm Exam (in class) 30 %
Final Exam 55 %
Text: Signals and Systems (2nd Ed) - Oppenheim, Willsky, Nawab