|
|
Master Science in Signal Processing , Computational and Applied Mathemathics - (sig-cam)
The proposal is for an interdisciplinary program
leading to an M.S. with thesis. The program will
consist of 30 credit hours total, with 24 hours of
coursework and 6 hours of directed research.
The program should focus on the following:
- Developing technically competent graduates capable
of developing and implementing the latest signal,
image, and multimedia processing components for
telecommunications and multimedia products and
services.
- Developing graduates capable of performing research
(i.e. pursuing the Ph.D.) in either engineering
or mathematics.
The program should include the following courses:
From ECE, the required courses are:
- G5213 Digital Signal Processing
(Slashlisted with 4213)
Prerequisite: 3793. Discrete-time linear systems, finite duration impulse
response digital filters, infinite impulse response digital filters, finite
word length effects, spectral analysis, fast Fourier-transforms, two-dimensional
signal processing and applications. No student may earn credit for both 4213
and 5213. (F)
- G5273 Digital Image Processing
(Crosslisted with Computer Science 5273)
Prerequisite: 3793 or permission of instructor. This course covers the theory,
methods, and applications of image enhancement, image restoration, image
compression, image segmentation, image representation and description, and
image recognition and interpretation. (F-even years)
- G5223 Stochastic Signal Processing
Prerequisite: 4213 or 5213. Stochastic processes, estimation, spectral analysis,
optimal filtering and applications. (Sp)
From MATH, the required courses are:
- G5383 Applied Modern Algebra
Prerequisite: 3333. The theory of error correcting codes, including
Shannon's theorem, Hamming, Golay, BCH and Reed-Solomon codes. Other topics
such as Goppa codes, group codes, cryptography, etc, as time permits. No
student may earn credit for both 4383 and 5383. (Sp)
- G5483 Wavelets
Prerequisite: Engineering Math 3113 and Linear Algebra 3333, or permission
of instructor. Fourier analysis on a finite cyclic group, the group of
integers, and on the real line. The matching pursuit algorithm. Poisson
summation formula, sampling. Multiresolution analysis, construction of
(Daubechies, Meyer, ...) wavelets and filter banks. An introduction to
the matlab wavelet toolbox.
- Topics in Combinatorics
Currently taught under the course G5693 Topics in Geometry and Combinatorics
I. Prerequisite: permission of instructor. May be repeated with permission
of instructor; maximum credit 12 hours. Topics may include convexity, combinatorial
geometry, graph theory, or Riemannian geometry. (F, Sp, Su)
In addition to these required courses, the student
will take 6 credit hours (normally two 3 hour courses)
from among the available ECE or MATH electives to
complete the 24 credit hours of coursework.
Students from mathematics backgrounds may need to
additionally take from ECE the following:
- ECE 3223, Microprocessor systems
- ECE 3813, Introduction to electronics
Students from engineering backgrounds may need to
additionally take from MATH the following:
- Math G3333, Linear Algebra I
- MATH 5113, Topics in applied mathematics
In addition, we should have a requirement/elective
for “entrepreneurial” studies. This could
take several forms. We have thought of a 1 or 2 hour
course, a 3-hour pass/fail elective, or an elective
for the terminal M.S. or interested Ph.D. student.
|
|
