ECE 310 - Discrete and Continuous Signals and Systems

Description:  Credit 3. Signals; systems; convolution; discrete and continuous Fourier series and transforms; Z-transforms; Laplace transforms; sampling; frequency response; applications; computer simulations.

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

Textbooks:  Oppenheim and Willsky, Signals and Systems, 1997.

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