Signals, systems and information for media technology

Lectures: 2 sessions / week, 1.5 hours / session

Recitations: 1 session / week, 1 hour / session

The undergraduate and graduate versions of this class meet together. MAS.160 is the undergraduate subject number. The graduate version has additional assignments, and is split into a pair of half-semester subjects, MAS.510 and MAS.511.

18.02 Calculus II

For MAS.511, the prerequisite is either MAS.510 or 6.003 Circuits and Systems.

McClellan, J. H., R. W. Schafer, and M. A. Yoder. DSP First: A Multimedia Approach. East Rutherford, NJ: Prentice Hall, 1998. ISBN: 9780132431712.

Shannon, C. E., and W. Weaver. The Mathematical Theory of Communication. Champaign, IL: University of Illinois Press, 1998. ISBN: 9780252725463. [Download a copy of the original 1948 paper by Shannon (PDF - 4.43MB), upon which the book is based, from Bell Labs.]

Karu, Zoher Z. Signals and Systems Made Ridiculously Simple. Huntsville, AL: ZiZi Press, 1995. ISBN: 9780964375215.

MATLAB will be used throughout the semester.

There will be two in-class quizzes. Both are open-book and open-notes, and we suggest bringing along a calculator that knows about trigonometric functions.

Your grade will be determined as a weighted average:

We think collaboration is a fine thing, and encourage studying in groups and discussing the topics covered in class. However, for homework problems the work you hand in should be done at least 95% by you alone. If you can think of a system that gives a good evaluation of individual performance and is even better at facilitating learning of this material, please suggest it to us.

We realize that many of our students lead complicated and demanding lives, and will allow you to hand in up to two problem sets late — without penalty — as long as you get permission from one of the faculty or TAs at least a day in advance of the regular due date. The delay is limited, however, and under no circumstances will you receive credit for a problem set after we have made available the solutions.

The calendar below provides information on the course's lecture (L) and recitation (R) sessions.

Overview of subjects to be covered during the term; basic math concepts; notation; vocabulary. Representation of systems

Complex exponentials

Spectrum plots, AM

Problem set 1 due

Problem set 2 out

Fourier series, frequency modulation (FM)

Definition of orthogonality; Walsh functions and other basis sets; discrete Fourier basis matrix

Problem set 2 due

Problem set 3 out

Sampling theorem, aliasing

Reconstruction

Problem set 3 due

Problem set 4 out

Ergodic processes/Markov models; choice, uncertainty and entropy; Shannon's fundamental theorem for a noiseless channel; entropy coding

Discrete channels with noise; continuous channels; error detection and correction

FIR filters. Impulse response. Convolution

Implementations of general LTI systems

Quiz review

FIR filters, impulse response, convolution, block diagrams

Response of FIR systems; properties

Problem set 5 due

Problem set 6 out

Definitions; convolution and the Z-transform; poles and zeros

Problem set 6 due

Problem set 7 out

Definitions; impulse response and frequency response

Inverse Z-transform; stability; partial fraction expansion

The DFT; fast algorithms

The DTFT

Real-world modulation and demodulation methods; spread-spectrum

Don't show me this again

This is one of over 2,200 courses on OCW. Find materials for this course in the pages linked along the left.

MIT OpenCourseWare is a free & open publication of material from thousands of MIT courses, covering the entire MIT curriculum.

No enrollment or registration. Freely browse and use OCW materials at your own pace. There's no signup, and no start or end dates.

Knowledge is your reward. Use OCW to guide your own life-long learning, or to teach others. We don't offer credit or certification for using OCW.

Made for sharing. Download files for later. Send to friends and colleagues. Modify, remix, and reuse (just remember to cite OCW as the source.)

Learn more at Get Started with MIT OpenCourseWare