A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multirate systems and filter banks
Multirate systems and filter banks
Wavelets and subband coding
Wavelet analysis: the scalable structure of information
Wavelet analysis: the scalable structure of information
Algorithms for designing wavelets to match a specified signal
IEEE Transactions on Signal Processing
Role of anticausal inverses in multirate filter-banks .I.System-theoretic fundamentals
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Vector space framework for unification of one- and multidimensionalfilter bank theory
IEEE Transactions on Signal Processing
Principal component filter banks for optimal multiresolutionanalysis
IEEE Transactions on Signal Processing
On denoising and best signal representation
IEEE Transactions on Information Theory
On the performance of linear phase wavelet transforms in low bit-rate image coding
IEEE Transactions on Image Processing
Wavelet filter evaluation for image compression
IEEE Transactions on Image Processing
A variational method for designing wavelets to match a specified signal
Signal Processing
IEEE Transactions on Image Processing
Signal dependent biorthogonal wavelet based representation
ICECS'05 Proceedings of the 4th WSEAS international conference on Electronics, control and signal processing
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This paper proposes a new method of estimating both biorthogonal compactly supported as well as semi-orthogonal infinitely/compactly supported wavelet from a given signal. The method is based on maximizing projection of the given signal onto successive scaling subspace. This results in minimization of energy of signal in the wavelet subspace. The idea used to estimate analysis wavelet filter is similar to a sharpening filter used in image enhancement. First, a new method is proposed that helps in the design of 2-band FIR biorthogonal perfect reconstruction filter bank from a given signal. This leads to the design of biorthogonal compactly supported wavelet. It is also shown that a wavelet with desired support as well as desired number of vanishing moments can be designed with the proposed method. Next, a method is proposed to design semi-orthogonal wavelets that are usually infinitely supported wavelets. Here, corresponding to FIR analysis filters, the resulting synthesis filters are IIR filters that satisfy the property of perfect reconstruction.