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