ECE Course Outline

ECE6250

Advanced Digital Signal Processing (3-0-3)

Prerequisites
ECE 4270
Corequisites
None
Catalog Description
An introduction to advanced signal processing methods that are used in a variety of application areas.
Textbook(s)
Moon & Stirling, Mathematical Methods and Algorithms for Signal Processing, Prentice Hall, 2000. ISBN 9780201361865 (required)

Topical Outline
     Basic Signals and Systems
          Review of 1-D signals
          Review of random signals
          Multi-D signals

     Multirate Signal Processing
          Interpolation and Decimation
          Sample Rate Conversion
          Oversampled Processing (A/D and D/A conversion)

     Time-Frequency Representations
          Filterbanks/Wavelets
          Short-Time Fourier Transform
          Wigner-Ville Decomposition
          1-D and 2-D Transforms (DCT, DST, KLT)

     Linear Prediction
          Autoregressive Modelling and Least Squares
          Modelling Random Signals
          Prony's Method

     Inverse Problems (Signal Reconstruction)
          Underdetermined Least Squares
               Pseudo-Inverse (SVD)
               Min-Norm Solutions
               Regularized Methods
          Reconstruction from Projections
          Iterative Methods
               Projection onto Convex Sets
               Expectation-Maximization
               Simulated Annealing
          Reconstruction from Nonuniform Sampling 
               1-D and Multi-D Sampling
               Random Sampling

     Optimal Quantization
          Lloyd-Max Quantizers
          Vector Quantization