SYLLABUS

EE310a – Signals and Systems – Fall 2006

Instructor: A. S. Morse,   212 Malone Lab.,   X24295,     mailto:morse@sysc.eng.yale.edu

Teaching Assistant:  Ming Cao,  202B Malone Lab., X26555      mailto:m.cao@yale.edu

Brief Summary: Concepts for the analysis of continuous and discrete-time linear systems including convolution,  impulse and  pulse responses, step responses, continuous and discrete Fourier transforms, frequency responses, Laplace and z-transforms. From continuous to discrete  signals and back via  sampling and the  Nyquist sampling theorem.  Introduction to communication systems including amplitude and pulse amplitude  modulation,  demodulation, and frequency and time-division multiplexing. Introduction to feedback control including concepts of stability and robustness.

Organization:  The course  meets on Mondays and Wednesdays from 9:00am to 10:15am in Becton 102. There are approximately eleven weekly homework assignments. There is a mid-term and a final exam. Review sessions will be scheduled from time to time. In class quizzes are always possible.

Course Text:  Fundamentals of Signals and Systems, 2^nd Edition,  E. W. Kamen and B. S.  Heck, Prentice Hall, 2006

Contents:

  Week 1:  discrete and continuous-time signals; definition of a linear system;  modeling with systems;

  Week 2:  basic properties of linear systems; overview of Matlab and Simulink

  Week 3:  input-output modeling using linear differential equations and linear difference equations; computer solution via Euler discretization.

  Week 4:  convolution of continuous and discrete signals; input-output modeling  using  convolution integrals and sums; responses to steps, impulses and pulses.

  Week 5:  Signal frequency components; Fourier series representation of periodic signals;  Fourier transform; Fourier transform properties.

  Week 6:  Generalized Fourier transform;   responses to sinusoidal inputs, periodic inputs; aperiodic inputs; ideal inputs; Bode diagrams

  Week 7:  Sampling; midterm exam

  Week 8:  Analog modulation and demodulation;  simultaneous signal transmission via multiplexing;

Week 9:  Discrete-time Fourier transform: discrete Fourier transform.

Week 10: Laplace transform

Week 11:  Use of Laplace transforms  in the analysis of continuous-time systems; Nyquist, Routh-Hurwitz, Lyapunov Stability tests.

Week 12:  z-transform and their use in the analysis of  discrete-time systems.