Instructor: Prof. Shalom D. Ruben
TA: None
M,W,F 2-2:50PM
ECCR 155
Office: ECOT 438
Office Hours: Wed, Fri, 3-4pm

Characterization of linear and time-invariant systems in time and frequency domains. Continuous time systems are analyzed using differential equations and Laplace and Fourier transforms. Discrete time systems, which can be implemented using a modern digital signal processing framework, use difference equations, z-transforms and discrete time Fourier transforms for their analysis and design. Applications of linear systems include communications, signal processing, and control systems. (Prerequisite: ECEN 2260, Circuits as Systems)

Textbook

Alan V. Oppenheim, Alan S. Willsky, with S. Hamid Nawab, Signals & Systems, Second Edition, Prentice Hall, 1997, ISBN 0-13-814757-4.

Topics Covered (not restricted to this order)

Continuous time (CT) and discrete time (DT) signals

CT and DT linear and time-invariant (LTI) systems

Time domain analysis of CT LTI systems

Differential equations

Unit impulse/step response

Convolution

Time domain analysis of DT LTI systems

Difference equations

Unit impulse/step response

Convolution

Transformed domain analysis of CT LTI systems

Laplace transform, pole/zero plots

Fourier transform, Fourier series

System function and frequency response

Transformed domain analysis of DT LTI systems

z-transform, pole/zero plots

DT Fourier transform, discrete Fourier series

System function and frequency response

Relationship between CT and DT signals, sampling theorem

Relationship between CT and DT systems, step invariance, bilinear transformation

Assignments must be neat, organized and legible. In plain English: If we cannot read your assignment, you will not get credit for it. Typed assignments are welcome.

At the start of each problem, write out a brief description of the problem including given information and what is to be found. Put a box around all final answers.

Show your work enough to fully demonstrate your understating and your arrival at your answer.

Write on only one side of the paper. Pages must stapled be in order (i.e. following the order in which the problems were assigned).

You only have TWO WEEKS from the return date to question the grading.

2.21(a,b,c), 2.24 (all), and Write your own general conitinuous time convolution algorithm in Matlab (use the example we did in class to check your code)