Prerequisite: MATH 220; and Credit or concurrent registration in ECE 225; or Credit or concurrent registration in ECE 210 for non-ECE students.

Topics:

1. Signals:
unit step; unit impulse; exponential;
sinusoidal; complex exponential;
linear combination; time-shifting
scaling, and reversal

2. Differential Equations
initial conditions; complete response;
transient and steady-state resopnse;
zero-state and zero-input response

3. Systems
linearity; time-invariance; casuality;
stability; unit-step and unit-impulse
response; convolution sum and convolution
integral

4. Discrete and Continuous Fourier Series
periodic signals; convergence; properties

5. Discrete and Continuous Fourier Transform
aperiodic signals; periodic signals;
properties; convolution; multiplication

6. Z-Transform and Laplace Transform
region of convergence; inverse transform;
relationship to the Fourier transform;
properties; convolution; multiplication;
unilateral transform

7. Sampling
sampling theorem; decimation and
interpolation; aliasing

8. Filtering
ideal filters; magnitude-phase
representation; low-pass filters; band-pass
filters; high-pass filters

9. Modulation
amplitude modulation; frequency modulation;
pulse-amplitude modulation; pulse-code
modulation; frequency-division multiplexing;
time-division multiplexing; time-division
multiplexing

10. Feedback
stability

11. Circuits
sinusoidal and periodic signal response;
frequency response; transfer function

12. Computer Simulations
MATLAB program simulations throughout course