A Wavelet Tour of Signal ProcessingThis book is intended to serve as an invaluable reference for anyone concerned with the application of wavelets to signal processing. It has evolved from material used to teach "wavelet signal processing" courses in electrical engineering departments at Massachusetts Institute of Technology and Tel Aviv University, as well as applied mathematics departments at the Courant Institute of New York University and École Polytechnique in Paris.
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It is a mathematically wellorganized book on wavelet theories. Also, it well explains the most important theories such as wavelet zooming with beautiful language. I am perfectly satisfied with it.
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User Review  Galal  GoodreadsVery good book for the basics and suitable for the beginners . Read full review
Contents
1  
20  
42  
CHAPTER IV TIME MEETS FREQUENCY  67 
CHAPTER V FRAMES  125 
CHAPTER VI WAVELET ZOOM  163 
CHAPTER VII WAVELET BASES  220 
CHAPTER VIII WAVELET PACKET AND LOCAL COSINE BASES  321 
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Common terms and phrases
algorithm amplitude approximation error best basis biorthogonal wavelet bounded variation calculated circular convolution compact support computed conjugate mirror ﬁlters constructed converges cosine bases covariance Daubechies decay decomposed decomposition deﬁned derive diagonal dictionary Dirac discrete Fourier discrete Fourier transform discrete signal distortion rate dyadic wavelet transform efﬁcient energy Figure ﬁlter ﬁlter bank ﬁlter h ﬁnd ﬁnite ﬁrst following theorem frame Gaussian implies inﬁnite inner products instantaneous frequency interpolation intervals inverse linear log2 matching pursuit minimax minimax risk minimizes modulus maxima multiresolution multiscale noise nonlinear approximation nonzero obtained operator optimal orthogonal basis orthonormal basis piecewise pixels polynomial Proof properties Proposition proves quantization reconstruction sampling satisﬁes scale 21 scaling functions Section shows signal f signiﬁcance singularities space spline stationary process sufﬁcient thresholding estimator timefrequency transform code translation invariant tree vanishing moments vectors verify WAVELAB wavelet basis wavelet coefﬁcients wavelet packet basis WignerVille distribution windowed Fourier transform zero