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MATH 416 (Applied Harmonic Analysis: An Introduction to
Signal Processing)
| DESCRIPTION |
The goal of this course is to introduce the students to the
modern mathematical
techniques which are applied in signal processing and which are
used in a variety of
areas, ranging from engineering to medicine and finance. Topics
include: Applied Linear
Algebra, Fourier Series, Discrete Fourier Transform, Fourier
Transform, Shannon Sampling
Theorem, Wavelet Bases, Multiresolution Analysis, and Discrete
Wavelet Transform.
Emphasis will be placed upon mathematical foundations of applicable
algorithms, as well
as on the ability to implement these algorithms.
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| PREREQUISITES |
MATH 141;
MATH 240;
or permission of instructor.
Familiarity with MATLAB is also required.
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| TOPICS |
Background Material: Numbers and Computer Arithmetic, Vector Spaces and Linear
Transformations;
Fourier Series;
Discrete Fourier Transform;
Sampling;
Quantization;
Precision and Accuracy;
Wavelet Bases;
Discrete Wavelet Transform;
Applications to Coding, Detection, and Compression.
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| TEXT |
Mathematics for Multimedia, Mladen Victor Wickerhauser, Academic Press, 2004
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