EE310a – Signals and Systems – Fall 2006
Instructor: A. S. Morse, 212 Malone Lab., X24295, mailto:firstname.lastname@example.org
Teaching Assistant: Ming Cao, 202B Malone Lab., X26555 mailto:email@example.com
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 to 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, 2nd Edition, E. W. Kamen and B. S. Heck, Prentice Hall, 2006
Week 1: discrete and continuous-time signals; definition of a linear system; modeling with systems;
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 12: z-transform and their use in the analysis of discrete-time systems.