Lecture Outline, Schedule, and Assignments

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• Week 1 - Course Overview; Mathematics of Signal Representation; Introduction to Matlab
  • Assigned Reading:
    • Chapter 1 (DFT Intro) of Mathematics of the DFT.
    • Chapter 2 (Complex Numbers)
    • If you are not comfortable with the decibel scale, read Appendix B
      (Logarithms and Decibels).
    • Optional: Appendix H (Sampling Theory).
  • Lab presentation 0: Introduction to Matlab
    • If you do not know the rules of matrix multiplication, read Appendix H (Matrices).
    • Read Getting Started with Matlab
    • Read the first two sections of Appendix J (Matlab Examples) in
      Mathematics of the DFT
    • Do Lab Assignment 0 if you do not know Matlab.
  • Assignment 1 (complex number problems)

• Week 2 - Euler, Exponentials, and Sinusoids
  • Chapter 3 (Proof of Euler's Theorem)
  • Chapter 4 (Sinusoids and Exponentials) of Mathematics of the DFT
  • Assignment 2

• Week 3 - Vectors and Geometrical Signal Theory
  • Chapter 5 (Geometric Signal Theory)
  • Chapter 6 (The DFT Derived)
  • Assignment 3

• Week 4 - Fourier Theorems, Convolution and Correlation
  • Read Chapter 7 (Fourier Theorems for the DFT) of Mathematics of the DFT
  • Read Appendix B (Fourier Transforms for Continuous/Discrete Time/Frequency)
  • Read Section 8.3 (Filters and Convolution) of Mathematics of the DFT
  • Assignment 4

• Week 5 - DFT Applications
  • Read Chapter 8 (DFT Applications)
  • Read Chapters 1 and 2 of Introduction to Digital Filters
  • Assignment 5

• Week 6 - Linearity and Time Invariance; Time-Domain Representations
  • Read Chapter 4 (Linearity and Time Invariance) and
    Chapter 5 (Time Domain Filter Representations) of Introduction to Digital Filters
  • Optionally peruse the Music 421 overheads pertaining to acyclic convolution
  • Assignment 6

• Week 7 - Analysis of Digital Filters
  • Read Chapter 6 (Transfer Function Analysis),
  • Read Chapter 7 (Frequency Response Analysis),
  • Assignment 7

• Week 8 - The S-plane and the Z-plane.
  • Read Appendix D (Laplace Transform Analysis)
  • Read some parts (TBD) of Appendix E (Analog Filters)
  • Read the first three sections of Chapter 8 (Pole-Zero Analysis),
  • Read Chapter 9 (Implementation Structures),
  • Assignment 8

• Week 9 - Bode plots, Bilinear Transform, and Shelving filter design.
  • Read Appendix I.3 (Bilinear Transform)
  • Read Appendix B.4 Shelving Filters and
  • Assignment 9

• Week 10 - Parametric Filter Design, Catchup, Review
  • Read Appendix B (Peaking Equalizers)

• Final Exam - Thursdays, Dec. 11, 2008, 12:15-3:15 PM, CCRMA Classroom. The exam will cover
  • Assigned readings, homework problems, and laboratory assignments
  • The exam will be closed book, except that you may bring an 8.5" by 11" sheet of paper, covered front and back with notes.
  • No calculators allowed (you shouldn't need one).