Signals, Systems and Information for Media Technology

MAS160/510

Fall 1997

Staff | Syllabus | Texts | Exams | Policies

Instructors:

V. Michael Bove, Jr., E15-324, x3-0334, vmb@media.mit.edu

Rosalind Picard, E15-392, x3-0611, picard@media.mit.edu

 

Teaching Assistants:

• Raul Fernandez, E15-394, x3-0384, galt@media.mit.edu, (office hours to be announced)
• Keith Martin, E15-401B, x3-0619, kdm@media.mit.edu, (office hours to be announced)

Handouts:

We will post PostScript copies to this page as they become available. Spare copies may be found in the hanging file folders outside E15-324.

Meeting Times:

Lectures: Tuesday, Thursday 2-3:30, E15-054
Recitation: Friday 3-4, E15-054

Sept. 4

Introduction

• Overview of subjects to be covered. Basic math concepts. Notation. Vocabulary. Types of signals. Frequency.
• Reading: P&M 1.1-1.3
• Problem Set 1 handed out.

Sept. 9

Sampling and Quantization

• Going from continuous to discrete time and amplitude.
• Reading: P&M 1.4-1.5

Sept. 11

Discrete-Time Systems

• Types of systems. Impulse response and convolution.
• Reading: P&M 2.1-2.3
• Problem Set 1 due (answers). Problem Set 2 handed out.

Sept. 16

Discrete-Time Systems, Continued

• Difference equations.
• Reading: P&M 2.4-2.5

Sept. 18

Z-Transforms

• Properties. Region of convergence.
• Reading: P&M 3.1-3.2
• Problem Set 2 due (answers). Problem Set 3 handed out.

Sept. 23

Z-Transforms, Continued

• Poles and zeroes. Inversion.
• Reading: P&M 3.3-3.4 (except 3.4.1), 3.6-3.7
• Handout: Yet more notes on partial fraction expansion

Sept. 25

Pre-Quiz Wrap-Up

• Problem Set 3 due (answers). Problem Set 4 handed out.

Sept. 30

QUIZ 1

Oct. 2

Continuous-Time Fourier Analysis

• Orthogonality. Fourier series. CT Fourier transform.
• Reading: P&M 4.1, handouts
• Handout: Basis Functions and Transforms

Oct. 7

Discrete-Time Fourier Analysis

• DT Fourier transform, and its relation to Z-transform.
• Reading: P&M 4.2.3-4.2.6

Oct. 9

Discrete-Time Fourier Analysis, Continued

• Properties of the DTFT. Sampling and bandwidth.
• Reading: P&M 4.2.8-4.3
• Problem Set 4 due (answers). Problem Set 5 handed out.

Oct. 14

Discrete-Time Filters

• Ideal filters. Inverse systems.
• Reading: P&M 4.4-4.6.1

Oct. 17

CLASS CANCELLED

Oct. 21

Sampling and Sampling-Rate Conversion

• Reading: P&M 10.1-10.4, handouts

Oct. 23

Sampling and Sampling-Rate Conversion, Continued

• Problem Set 5 due (answers). Problem Set 6 handed out.

Oct. 28

Discrete Transforms

• Circular convolution and the DFT. The FFT.
• Reading: P&M 5.1-5.5

Oct. 30

Discrete Transforms, Continued

• Fast algorithms. The DCT. Extension to 2D.
• Reading: P&M 6.1, handouts
• Problem Set 6 due (answers).

Nov. 4

Pre-Quiz Wrap-Up

Nov. 6

QUIZ 2

Nov. 11

VETERANS' DAY -- NO CLASS

Nov. 13

Psychophysics and Psychoacoustics

• Reading: handouts
• Problem Set 7 handed out.

Nov. 18

Modulation and Communication Systems

• Reading: handouts

Nov. 20

Analog-to-Digital and Digital-to-Analog Conversion

• Quantization. Antialiasing filters.
• Reading: P&M 9.1-9.4

Nov. 25

Practical Filter Design

• Reading: P&M 8.1-8.5, handouts
• Problem Set 7 due. Problem Set 8 handed out.

Nov. 27

THANKSGIVING -- NO CLASS

Dec. 2

Probability Theory/Communication Theory/Noise

• Ergodic processes/Markov models. Choice, uncertainty and entropy. Shannon's fundamental theorem for a noiseless channel. Entropy coding.
• Reading: Shannon and Weaver pp. 3-64.

Dec. 4

Probability Theory/Communication Theory/Noise, Continued

• Discrete channels with noise. Continuous channels. Error detection and correction.
• Reading: Shannon and Weaver pp. 65-80, handouts.
• Problem Set 8 due.

Dec. 9

Final Exam Review

Dec. 18 NOTE CHANGED DATE AND TIME!

Final Exam, 1:30-4:30pm

 

Staff | Syllabus | Texts | Exams | Policies

Texts:

Proakis and Manolakis, Digital Signal Processing, Prentice-Hall

Shannon and Weaver, The Mathematical Theory of Communication, U. Illinois Press.

Recommended for those who want more help:

Karu, Signals and Systems Made Ridiculously Simple, ZiZi Press.

Computer Facilities: The Matlab system will be used throughout the semester. While it is available on various machines in the Media Lab, we strongly encourage your getting an Athena account and working from there. For on-line help see Athena's Matlab Information Pages.

Handouts: Handouts should be available on this web site in a timely fashion, if you miss class, or misplace your paper copies. We will also maintain a backup in the hanging file folder just across the hall from E15-324. If what you want isn't there, ask the TA's.

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

Grading: Your grade will be determined as a weighted average: 25% homework, 20% each quiz, 25% final exam, 10% class participation.

Obligatory Policy Statement: 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.

Late Homework: 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.

Staff | Syllabus | Texts | Exams | Policies