ECE 6250 - Advanced DSP

Resources

 

• A short, useful introduction to Matrix Calculus
• The Matrix Cookbook
• The Kalman Filter page
• If you find anything useful, let me know and I'll link it here

 

 

Quiz Solutions

• Quiz #1 solutions
• Quiz #2 solutions
• Quiz #3 solutions

 

Sample Quizzes

• Quiz #1 from a previous year
• Final from previous year

 

General Interest

• Taking Tests
• Careers in Signal Processing

Extra Reading and Practice

 

I have not worked these problems but they look as though they should help you build a stronger foundation in the concepts covered in class if you would like extra practice.

 

Linear Inverse Problems

• Matrix subspaces, pseudo inverses, etc .
  • Text reading: section 4.4 - 4.9
  • Text problems:  4.5-29, 4.5-30, 4.6-33, 4.6-35 -- 4.9.38
    
    
• Matrix factorizations (much of this is not covered in the course
  it provides some background for SVD and some later material)
  • Text reading: sections 5.0 - 5.3.3
  • Text problems: 5.1-3, 5.3-16, 5.3-29, (optionally 5.1-1)
    
    
• Eigenvalues/eigenvectors, diagonalization
  • Text reading: sections 6.1 - 6.5, (optionally 6.8)
  • Text problems: 6.1-1 - 6.3-18, 6.3-21 - 6.5-36
    (Note, there are many problems in this chapter--likely because it is easy to write problems for these concepts. Pick some selection to work.)
    
    
• The Singular Value Decomposition
  • Text reading: 7.1 - 7.5, 7.7 - 7.8
    (Note, the text defines the Σ as containing both the singular values and the zero singular values whereas our notes define Σ to contain only the non-zero values. )
  • Text problems: 7.1-1 - 7.5-10, 7.7-12 - 7.7-14
    
    
• Special Matrices
  • Text reading: 8.2-8.3.1, 8.3.4, 8.5
  • Text problems: 8.2-7 - 8.2-8, 8.3-12, 8.5-18 - 8.5-21
    
    

Kalman Filter Problems

• Extra Kalman filter problems for practice