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

**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:**

**Week 11:** Use of

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

** **