MUS421 Lecture 1
Introduction and Overview

Julius O. Smith III (jos at ccrma)
Center for Computer Research in Music and Acoustics (CCRMA)
Department of Music, Stanford University

Detailed Contents (and Navigation)

• Course Overview
  • Main Pointers
  
  
• Why The Fourier Transform
• Audio Applications of the
  Short-Time Fourier Transform (STFT)
  • Audio Compression
  • Main Pointer
  
  
• Notation
• Introduction to Audio Spectrum Analysis
• Example of Windowing
  • Summary
  • The Rectangular Window
  • Rectangular Window Transform (Cont'd)
  • Sidelobe Roll-Off Rate
  
  
• Frequency Resolution
  • Two Cosines (``In-Phase'' Case) in Time Domain
  • One Sine and One Cosine
    (``Phase Quadrature'' Case)
  • One Sine and One Cosine
    (``Phase Quadrature'' Case)
    All Four Resolutions Overlaid
  • Sinusoidal Interference as Amplitude Modulation
  • Beating Heisenberg
  • Minimizing Side-Lobe Level
  • Resolution Bandwidth (Resolving Sinusoids)
  • Choosing Window Length to Resolve Sinusoids
  • Closely Spaced Sinusoids as
    Amplitude Modulation
  • Resolving Sinusoidal Components Robustly
  
  
• About this document ...