Wavelet Filter Banks

We will now approach filter-bank derivation from a ``Hilbert space'' (geometric) point of view. This is the most natural setting for the study of wavelet filter banks [270,266].

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Subsections

• Geometric Signal Theory
  • Natural Basis
  • Normalized DFT Basis for
  • Normalized Fourier Transform Basis
  • Normalized DTFT Basis
  • Normalized STFT Basis
  • Continuous Wavelet Transform
  • Discrete Wavelet Transform
  • Discrete Wavelet Filterbank
  • Dyadic Filter Banks
  • Dyadic Filter Bank Design
  • Generalized STFT

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Order a Hardcopy of Spectral Audio Signal Processing

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About the Author: Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.