MAS.160 | Fall 2007 | Undergraduate

Signals, Systems and Information for Media Technology

Readings

Texts

Required

[MSY] 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), 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.

LEC # TOPICS READINGS
L1

Introduction

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

MSY 1.1-1.4, A.1-A.6 (A.5 is optional)
L2

Sinusoids

Complex exponentials

MSY 2.1-2.9
L3

Spectra

Spectrum plots, AM

MSY 3.1-3.4, C.7.1.3
L4

Periodic waveforms

Fourier series, frequency modulation (FM)

MSY 3.5-3.6
L5

Basis functions and orthogonality

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

Notes on basis functions (PDF)
L6

Sampling I

Sampling theorem, aliasing

MSY 4.1-4.3
L7

Sampling II

Reconstruction

MSY 4.4-4.6
L8

Psychophysics, psychoacoustics, and other physiological signals

 
L9

Communication theory I

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

Shannon and Weaver, pp. 3-64.
L10

Communication theory II

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

Shannon and Weaver, pp. 65-80.

Handout on error-correcting codes (PDF)

L11

Pre-quiz wrap-up

 
L12 Quiz 1  
End of MAS.510; start of MAS.511
L13

Discrete-time systems I

FIR filters. Impulse response. Convolution

MSY 5.1-5.3
L14

Discrete-time systems II

Implementations of general LTI systems

MSY 5.4-5.9
L15

Frequency response I

Response of FIR systems; properties

MSY 6.1-6.4
L16

Frequency response II

MSY 6.5-6.9
L17

Z-transform, I

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

MSY 7.1-7.6.2
L18

IIR systems

Definitions; impulse response and frequency response

MSY 8.1-8.5

Notes from prior years

Z-transforms: part I (PDF)

Z-transforms: part II (PDF)

Partial fraction expansion (PDF)

L19

Z-transforms II

Inverse Z-transform; stability; partial fraction expansion

MSY 8.6-8.9
L20

Spectrum analysis I

The DFT; fast algorithms

MSY 9.1.1, 9.2.2, 9.3.1-9.3.2, 9.3.5-9.3.7
L21

Spectrum analysis II

The DTFT

MSY 9.4-9.7
L22

Practical filter design

MSY 7.7-7.10, 8.10-8.11

L23

Pre-quiz wrap-up and practical communication systems

Real-world modulation and demodulation methods; spread-spectrum

Notes on modulation (PDF)
L24 Quiz 2