Wavelets and subband coding
Convex Optimization
SIAM Journal on Optimization
Watermarking via zero assigned filter banks
Signal Processing
Design of orthonormal Hilbert-pair of wavelets using zero-pinning
Signal Processing
Optimization of the higher density discrete wavelet transform and of its dual tree
IEEE Transactions on Signal Processing
Design of Hilbert transform pairs of orthonormal wavelet bases using Remez exchange algorithm
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Image denoising with anisotropic bivariate shrinkage
Signal Processing
A generalized parametric PR-QMF design technique based on Bernsteinpolynomial approximation
IEEE Transactions on Signal Processing
A Novel Scheme for the Design of Approximate Hilbert Transform Pairs of Orthonormal Wavelet Bases
IEEE Transactions on Signal Processing
Hilbert Pair of Orthogonal Wavelet Bases: Revisiting the Condition
IEEE Transactions on Signal Processing
SDP Approximation of a Fractional Delay and the Design of Dual-Tree Complex Wavelet Transform
IEEE Transactions on Signal Processing
Image analysis using a dual-tree M-band wavelet transform
IEEE Transactions on Image Processing
A new class of almost symmetric orthogonal Hilbert pair of wavelets
Signal Processing
Sharper Symmetric Self-Hilbertian wavelets
Signal Processing
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A symmetric self-Hilbertian filter is a product filter that can be used to construct orthonormal Hilbert-pair of wavelets for the dual-tree complex wavelet transform. Previously reported techniques for its design does not allow control of the filter's frequency response sharpness. The Zero-Pinning (ZP) technique is a simple and versatile way to design orthonormal wavelet filters. ZP allows the shaping of the frequency response of the wavelet filter by strategically pinning some of the zeros of the parametric Bernstein polynomial. The non-zero Bernstein parameters, @a"i's, are the free-parameters and are constrained in number to be twice the number of pinned zeros in ZP. An extension to ZP is presented here where the number of free-parameters is greater than twice the number of pinned zeros. This paper will show how the extended ZP can be used to the design of Hilbert pairs with the ability to shape the filter response.