MUS421 Lecture 3A
FFT Windows

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)

• The Rectangular Window
  • Sidelobe Roll-Off Rate
  
  
• Generalized Hamming Window Family
  • Hann or Hanning or Raised Cosine
  • Hamming
  • Hamming Window
  • Hamming Window Properties
  • Longer Hamming Window
  • Window Transform Summary
  • The MLT Sine Window
  
  
• Blackman-Harris Window Family
  • Frequency-Domain Implementation
  • Classic Blackman
  • Classic Blackman Window and Transform
  • Three-Term Blackman-Harris
  • Three-Term Blackman-Harris Window and Transform
  • Longer Three-Term Blackman-Harris Window and Transform
  • Power-of-Cosine
  
  
• Spline Windows
  • Spline Window Examples
  
  
• Miscellaneous Windows
  • Bartlett (``Triangular'')
  • Using Any Window as a Tapering Function
  • Poisson (``Exponential'')
  • Poisson Window in System Identification
  • Hann-Poisson (``No Sidelobes'')
  • Hann-Poisson Window and Transform
  • Hann-Poisson Slope and Curvature
  • Slope and Curvature for Larger Alpha
  • Maximum Main-Lobe Energy Window: DPSS
  • Matlab for the DPSS Window
  • Kaiser (Kaiser-Bessel)
  • Modified Bessel Function of the 1st Kind
  • Kaiser-Bessel Window Notes
  • Kaiser Window Time-Bandwidth Product
  • Kaiser Side-Lobe Level vs. Main-Lobe Width
  • Kaiser Window Examples
  • Kaiser Window Transform Examples
  • Kaiser Window: Different Lengths M
  • More Kaiser-Window Examples
  • Chebyshev Polynomials
  • Chebyshev Polynomial Properties
  • Dolph-Chebyshev Window
  • Dolph-Chebyshev Window, Length 31, Ripple -40 dB
  • Dolph-Chebyshev Window, Length 31, Ripple -200 dB
  • Dolph-Chebyshev Window, Length 101, SLL -40 dB
  • Dolph-Chebyshev and Hamming Windows Compared
  • Gaussian
  • The Gaussian Window in Spectral Modeling
  • Matlab for the Gaussian Window
  • Gaussian Window and Transform
  
  
• Bump Window
  • More Windows
  
  
• Optimal Windows
  • Optimal Windows for Audio Coding
  
  
• Conclusion
• About this document ...