Discrete Wavelet Transforms

Fourier transform has been extensively used in signal processing to analyze stationary signals. A serious drawback of the Fourier transform is that it cannot reflect the time evolution of the frequency.

[1]  A. Grossmann,et al.  DECOMPOSITION OF HARDY FUNCTIONS INTO SQUARE INTEGRABLE WAVELETS OF CONSTANT SHAPE , 1984 .

[2]  Peter N. Heller,et al.  Theory of regular M-band wavelet bases , 1993, IEEE Trans. Signal Process..

[3]  Gilbert Strang,et al.  Wavelets and Dilation Equations: A Brief Introduction , 1989, SIAM Rev..

[4]  M. Swamy,et al.  Wavelet domain-based video noise reduction using temporal discrete cosine transform and hierarchically adapted thresholding , 2007 .

[5]  M. Swamy,et al.  Technique for designing biorthogonal wavelet filters with an application to image compression , 1999 .

[6]  Ajit S. Bopardikar,et al.  Wavelet transforms - introduction to theory and applications , 1998 .

[7]  Peter Niels Heller,et al.  Rank M Wavelets with N Vanishing Moments , 1995, SIAM J. Matrix Anal. Appl..

[8]  M. Omair Ahmad,et al.  A New Statistical Detector for DWT-Based Additive Image Watermarking Using the Gauss–Hermite Expansion , 2009, IEEE Transactions on Image Processing.

[9]  K. Deergha Rao.  New approach for digital image watermarking and transmission over bursty wireless channels , 2010 .

[10]  Stéphane Mallat,et al.  An approximation tour , 1999 .

[11]  M. Omair Ahmad,et al.  Bayesian Wavelet-Based Image Denoising Using the Gauss–Hermite Expansion , 2008, IEEE Transactions on Image Processing.

[12]  I. Daubechies.  Orthonormal bases of compactly supported wavelets , 1988 .

[13]  M. N. Shanmukha Swamy,et al.  An hybrid filter for restoration of color images in the mixed noise environment , 2002, 2002 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[14]  M.N.S. Swamy,et al.  Wavelet-based image denoising with the normal inverse Gaussian prior and linear MMSE estimator , 2008 .

[15]  M. Swamy,et al.  Contrast-based fusion of noisy images using discrete wavelet transform , 2010 .

[16]  Charles K. Chui,et al.  An Introduction to Wavelets , 1992 .

[17]  M. Omair Ahmad,et al.  Spatially adaptive thresholding in wavelet domain for despeckling of ultrasound images , 2009, IET Image Process..

[18]  I. Johnstone,et al.  Ideal spatial adaptation by wavelet shrinkage , 1994 .

[19]  I. Johnstone,et al.  Wavelet Threshold Estimators for Data with Correlated Noise , 1997 .

[20]  I. Johnstone,et al.  Adapting to Unknown Smoothness via Wavelet Shrinkage , 1995 .

[21]  M. Omair Ahmad,et al.  Video Denoising Based on Inter-frame Statistical Modeling of Wavelet Coefficients , 2007, IEEE Transactions on Circuits and Systems for Video Technology.

[22]  M. Wickerhauser.  Acoustic signal compression with wavelet packets , 1993 .

[23]  Jean-Michel Poggi,et al.  Wavelets and their applications , 2007 .

[24]  I. Daubechies,et al.  Biorthogonal bases of compactly supported wavelets , 1992 .

[25]  Gregory K. Wallace,et al.  The JPEG still picture compression standard , 1992 .