Office: Math
2111; E-mail: Dennis.Healy@darpa.mil
Office
Hours: Tues 1-2, Thurs 3:45-4:45, and by appointment
This course
will introduce some modern mathematical techniques which are
applied in a variety of signal processing areas,
ranging from multimedia to medicine and finance.
The
prerequisites are MATH 141 and MATH 240, as well as familiarity with
some computer algebra system, like MATLAB,
MATHEMATICA, MAPLE, etc.
The
material will be presented (mostly) in the vector setting of a finite
dimensional space and often from a computational perspective.
In
light of this the first substantive task will be to cover the basics of
computer numerical representation and linear algebra needed for
this course.
The major topics for the term include:
Linear Algebra and numerical aspects
Discrete and Fast Fourier Transforms;
- Sampling and Quantization;
- Discrete Wavelet Transform;
- Multiresolution Analysis;
- Filtering.
Some other topics we will draw from:
- Polyphase Representation of Filter Banks, Multirate Processing;
- Precision&Accuracy of Measurements & computer representations;
- Lifting Schemes;
-Souce Coding
- Error Correction Codes.