Mathematics for Circuits and Filters

6 Wavelet Transforms

P.P. Vaidyanathan

California Institute of Technology

Igor Djokovic

California Institute of Technology

DOI: 10.1201/9781315214023-6

• 6.1 Introduction
• 6.2 Signal Representation Using Basis Functions
• 6.3 The Short-Time Fourier Transform
• 6.4 Digital Filter Banks and Subband Coders
• 6.5 Deeper Study of Wavelets, Filter Banks, and Short-Time Fourier Transforms
• 6.6 The Space of L¹ and L² Signals
• 6.7 Riesz Basis, Biorthogonality, and Other Fine Points
• 6.8 Frames in Hilbert Spaces
• 6.9 Short-Time Fourier Transform: Invertibility, Orthonormality, and Localization
• 6.10 Wavelets and Multiresolution
• 6.11 Orthonormal Wavelet Basis from Para unitary Filter Banks
• 6.12 Compactly Supported Orthonormal Wavelets
• 6.13 Wavelet ...