ECE 735 Signal Synthesis and Recovery Techniques, Lec. 1, Fall 1996

Instructor:     John A. Gubner, Associate Professor, ECE Department.
                Office: 3615 Engr. Hall.
                Phone: 263-1471.
                E-mail: gubner@engr.wisc.edu

Credits:        3

Prerequisites:  ECE 431 or ECE 533 or consent of instructor.
                Math 521 is recommended.

Goals & Topics:

      The main goal of this course is to introduce some basic
  tools that are useful in analyzing signal recovery problems.  In such
  problems, an unknown signal or image passes through a given system, and
  results in a measured response.  Based on a knowledge of the system
  and the response, one would like to identify the unobserved system input.
  Some of the tools we will study include: projections, pseudo-inverses,
  diagonalization, the singular-value decomposition, and regularization,
  all for infinite-dimensional systems.  Other topics to be covered
  include collocation using splines, minimum time-bandwidth product,
  short-time Fourier transforms, and continuous-time wavelet transforms.
  To conclude the course, we introduce some nonlinear signal recovery
  algorithms such as contraction mappings and alternating projections
  onto convex sets.

Textbooks:      Required: None.

                Optional: Optimization by Vector Space Methods,
                          D. G. Luenberger.

                          A Primer on Integral Equations of the First Kind,
                          G. M. Wing.

Computer Usage: Some homework assignments may require MATLAB.

Papers:         None.

Projects:       None.

Grading Policy: Homework 10%
                Midterm  40%
                Final    50%