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)
    • Chapter 3 (Proof of Euler's Theorem)
    • If you are not comfortable with the decibel scale, read Appendix B
      (Logarithms and Decibels).
    • Optional: Appendix H (Sampling Theory).
    • Time permitting, start on Chapter 4 (Sinusoids and Exponentials)
  • 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 - Spectrum Representation; More Matlab
  • Chapter 4 (Sinusoids and Exponentials) of Mathematics of the DFT
  • Chapter 5 (Geometric Signal Theory)
  • Chapter 6 (The DFT Derived)
  • Assignment 2

• Week 3 - The Fourier Theorems
  • Read Chapter 7 (Fourier Theorems for the DFT) of Mathematics of the DFT
  • Assignment 3

• Week 4 - Practical Spectrum Analysis
  • Read Chapter 8 (DFT Applications) of Mathematics of the DFT
  • Assignment 4

• Week 5 - Introduction to Digital Filters
  • Read Section 8.3 (Filters and Convolution)
  • Read Appendix B (Fourier Transforms for Continuous/Discrete Time/Frequency)
  • 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), Chapter 7 (Frequency Response Analysis), and the first three sections of Chapter 8 (Pole-Zero Analysis),
  • Assignment 7

• Week 8 - Elementary Audio Digital Filters
  • Read Chapter 9 (Implementation Structures), Chapter 10 (Elementary Audio Digital Filters)
  • Assignment 8

• Week 9 - IIR Filters and Transfer Function Analysis
  • Read Chapter 11 (Filters Preserving Phase), Chapter 12 (Minimum Phase Digital Filters), and
  • Assignment 9

• Week 10 - Review, Overview, Applications, Demos

• Final Exam - Wednesday, Dec. 12, 2007, 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).