Fundamentals of digital image processing
Fundamentals of digital image processing
A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Adapted wavelet analysis from theory to software
Adapted wavelet analysis from theory to software
Wavelets and subband coding
Hadamard matrix analysis and synthesis: with applications to communications and signal/image processing
The lifting scheme: a construction of second generation wavelets
SIAM Journal on Mathematical Analysis
Orthogonal Transforms for Digital Signal Processing
Orthogonal Transforms for Digital Signal Processing
Decomposition of the Hadamard Matrices and Fast Hadamard Transform
CAIP '97 Proceedings of the 7th International Conference on Computer Analysis of Images and Patterns
Optimal zonal wavelet-based ECG data compression for a mobile telecardiology system
IEEE Transactions on Information Technology in Biomedicine
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We introduce new methods for construction and implementation of various parametric and hybrid orthogonal transforms, including generalized Haar-like, Daubechies, and Coiflet wavelet transforms. The corresponding fast algorithms of computations are briefly discussed and the variance properties of these transforms in analyzing 1-st order Markov processes are investigated. The designed hybrid transforms can be useful in various specific signal processing applications where combining properties of Hadamard and wavelet transforms may be of particular benefit. We also present some numerical results pertaining to image zonal and threshold coding using these hybrid transforms and compare their efficacy with those of traditional orthogonal transforms.