Instructors: Professor Cindy Finelli, Professor Stéphane Lafortune, Professor Kim A. Winick
This course introduces students to basic concepts in continuous-time linear system theory. The analysis of continuous-time systems is considered in both the time and frequency domains. Topics include linearity, impulse response, convolution, frequency response, filtering, Fourier series, Fourier transforms, sampling theorem, relationship between continuous-time and discrete-time systems (as time perm its), Laplace transforms, system transfer function, poles and zeros, stability. Applications of these techniques will be discussed using examples from circuits, signal processing, communication and control.
Four laboratories during the term:
1. Impulse Response of RC Circuits
2. FM Discriminator Circuit
3. Superheterodyne AM Radio
4. Proportional-plus-Derivative Feedback Control
Three hours of lecture and one hour of recitation per week. Weekly problem sets. Four laboratories and three two-hour exams.
S.S. Soliman and M.D. Srinath, Continuous and Discrete Signals and Systems, 2nd Edition, Prentice-Hall, 1998. ISBN: 0135184738.
1. Continuous-time LTI systems and convolution
2. Frequency response and filtering of signals
3. Fourier series and Fourier transforms
4. Sampling theorem
5. Laplace transform and poles and zeros
6. Basics of analog communications
7. Basics of feedback control