Sampling and reconstruction of sparse signals on circulant graphs. An introduction to graph-FRI
From MaRDI portal
Publication:2330927
DOI10.1016/j.acha.2017.10.003zbMath1422.94012arXiv1606.08085OpenAlexW2466766312MaRDI QIDQ2330927
M. S. Kotzagiannidis, Pier Luigi Dragotti
Publication date: 23 October 2019
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.08085
Numerical mathematical programming methods (65K05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)
Related Items
Graph signal sampling and interpolation based on clusters and averages ⋮ Polynomial graph filters of multiple shifts and distributed implementation of inverse filtering ⋮ Analysis vs synthesis with structure -- an investigation of union of subspace models on graphs ⋮ Graph Fourier transform based on singular value decomposition of the directed Laplacian ⋮ Splines and wavelets on circulant graphs
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Estimation of Laplacian spectra of direct and strong product graphs
- Compressed sensing with coherent and redundant dictionaries
- Wavelets on graphs via spectral graph theory
- Approximation error for quasi-interpolators and (multi-)wavelet expansions
- Splines and wavelets on circulant graphs
- Diffusion wavelets
- Atomic Decomposition by Basis Pursuit
- On Sparse Representation in Fourier and Local Bases
- Sampling in Paley-Wiener spaces on combinatorial graphs
- Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
- An Optimal Circulant Preconditioner for Toeplitz Systems
- The Discrete Cosine Transform
- Sampling Moments and Reconstructing Signals of Finite Rate of Innovation: Shannon Meets Strang–Fix
- Generalized Daubechies Wavelet Families
- Algebraic Signal Processing Theory: Foundation and 1-D Time
- Perfect Reconstruction Two-Channel Wavelet Filter Banks for Graph Structured Data
- Compact Support Biorthogonal Wavelet Filterbanks for Arbitrary Undirected Graphs
- Local-Set-Based Graph Signal Reconstruction
- Signal Recovery on Graphs: Variation Minimization
- Discrete Signal Processing on Graphs: Sampling Theory
- Sampling of Graph Signals With Successive Local Aggregations
- A Multiscale Pyramid Transform for Graph Signals
- Kron Reduction of Graphs With Applications to Electrical Networks
- Sampling signals with finite rate of innovation
- Cardinal exponential splines: part I - theory and filtering algorithms
- Compressed sensing