Multirate systems and filter banks
Multirate systems and filter banks
An interior algorithm for nonlinear optimization that combines line search and trust region steps
Mathematical Programming: Series A and B
Image denoising with anisotropic bivariate shrinkage
Signal Processing
Symmetric self-Hilbertian filters via extended zero-pinning
Signal Processing
Efficient design of orthonormal wavelet bases for signal representation
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
Chaos-based partial encryption of SPIHT coded color images
Signal Processing
A new class of almost symmetric orthogonal Hilbert pair of wavelets
Signal Processing
| Hi-index | 0.08 |
Symmetric Self-Hilbertian (SSH) wavelets are building blocks to many dual-tree complex wavelet transform systems. The SSH wavelets, and the corresponding scaling filters, within a pair are time-reverse versions of each other, and the complex wavelet function has conjugate symmetry. Previously reported methods for designing these wavelets focus mainly on achieving the best approximation to the Hilbert transform, where all design parameters are optimized with respect to the analytic quality. The exception is a technique proposed by the author (Signal Processing 2012) that allows the control of the frequency response sharpness of the corresponding scaling filter. However the technique is practical only when the number of free-parameters is small due to the high computational load otherwise. This paper proposes novel techniques that are based on the orthogonal lattice and are practical with any number of free-parameters. Higher analytic quality Hilbert pairs with sharper response can be obtained when there are more free-parameters. Three strategies for optimizing the lattice parameters to give high quality filters are presented here.