Symmetric tight framelet filter banks with three high-pass filters

DOI10.1016/j.acha.2013.11.001zbMath1336.65210OpenAlexW1985014806MaRDI QIDQ2252509

Bin Han

Publication date: 18 July 2014

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2013.11.001

zbMATH Keywords

symmetryoblique extension principlecomplex symmetrytight framelet filter banksfilter lengthmoment correcting filters

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for wavelets (65T60)

Related Items

Dual Gramian analysis: Duality principle and unitary extension principle, Some smooth compactly supported tight wavelet frames with vanishing moments, Wavelet bi-frames with uniform symmetry, Construction of wavelets and framelets on a bounded interval, Causal FIR symmetric paraunitary matrix extension and construction of symmetric tight \(M\)-dilated framelets, Univariate tight wavelet frames of minimal support, Symmetric canonical quincunx tight framelets with high vanishing moments and smoothness, Generalized matrix spectral factorization with symmetry and applications to symmetric quasi-tight framelets, Directional Compactly Supported Tensor Product Complex Tight Framelets with Applications to Image Denoising and Inpainting, Generalized matrix spectral factorization and quasi-tight framelets with a minimum number of generators, Compactly supported tight and sibling frames based on generalized Bernstein polynomials, Directional tensor product complex tight framelets with low redundancy, Compactly Supported Tensor Product Complex Tight Framelets with Directionality

Cites Work

• Pairs of frequency-based nonhomogeneous dual wavelet frames in the distribution space
• Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
• On dual wavelet tight frames
• Compactly supported tight frames associated with refinable functions
• Matrix splitting with symmetry and dyadic framelet filter banks over algebraic number fields
• Symmetric MRA tight wavelet frames with three generators and high vanishing moments
• Compactly supported tight and sibling frames with maximum vanishing moments
• Symmetric framelets
• Framelets: MRA-based constructions of wavelet frames
• Symmetric wavelet tight frames with two generators
• Matrix splitting with symmetry and symmetric tight framelet filter banks with two high-pass filters
• Tight wavelet frames generated by three symmetric $B$-spline functions with high vanishing moments
• Splitting a Matrix of Laurent Polynomials with Symmetry and itsApplication to Symmetric Framelet Filter Banks