Second-order sigma-delta (\(\Sigma \Delta\)) quantization of finite frame expansions
From MaRDI portal
Publication:818338
DOI10.1016/j.acha.2005.04.003zbMath1088.42018OpenAlexW2163296328MaRDI QIDQ818338
Alexander M. Powell, John J. Benedetto, Özgür Yılmaz
Publication date: 20 March 2006
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.acha.2005.04.003
Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15) Communication theory (94A05) Numerical methods in Fourier analysis (65T99)
Related Items (23)
Alternative dual frames for digital-to-analog conversion in sigma-delta quantization ⋮ Quantization and Compressive Sensing ⋮ Optimization over finite frame varieties and structured dictionary design ⋮ One-bit sigma-delta modulation on the circle ⋮ Sobolev duals for random frames and \(\varSigma \varDelta \) quantization of compressed sensing measurements ⋮ Pointwise comparison of PCM and \(\Sigma \Delta \) quantization ⋮ Finite frame varieties: Nonsingular points, tangent spaces, and explicit local parameterizations ⋮ The lower bound of the PCM quantization error in high dimensions ⋮ The role of frame force in quantum detection ⋮ Improvement of the lower bound of the PCM quantization error for vectors in \(\mathbb{R}^2\) ⋮ Randomly dithered quantization and sigma-delta noise shaping for finite frames ⋮ Frames as Codes ⋮ Quantization and Finite Frames ⋮ Sigma-delta quantization errors and the traveling salesman problem ⋮ Mean squared error bounds for the Rangan-Goyal soft thresholding algorithm ⋮ Sobolev duals in frame theory and Sigma-Delta quantization ⋮ On recovery guarantees for one-bit compressed sensing on manifolds ⋮ Tight and full spark Chebyshev frames with real entries and worst-case coherence analysis ⋮ Noise-Shaping Quantization Methods for Frame-Based and Compressive Sampling Systems ⋮ Lattice quantization error for redundant representations ⋮ Distributed noise-shaping quantization. I: Beta duals of finite frames and near-optimal quantization of random measurements ⋮ Coefficient quantization in Banach spaces ⋮ Quantization for spectral super-resolution
Cites Work
- Unnamed Item
- Grassmannian frames with applications to coding and communication
- Approximating a bandlimited function using very coarsely quantized data: a family of stable sigma-delta modulators of arbitrary order
- Stability analysis for several second-order Sigma-Delta methods of coarse quantization of bandlimited functions
- Finite normalized tight frames
- Equal-norm tight frames with erasures
- Ergodic dynamics in sigma-delta quantization: tiling invariant sets and spectral analysis of error
- Refined Error Analysis in Second-Order<tex>$Sigma Delta $</tex>Modulation With Constant Inputs
- Generalized welch bound equality sequences are tight frames
- Quantized overcomplete expansions in IR/sup N/: analysis, synthesis, and algorithms
- Approximating a bandlimited function using very coarsely quantized data: Improved error estimates in sigma-delta modulation
- Noise reduction in oversampled filter banks using predictive quantization
- Optimal tight frames and quantum measurement
- Systematic design of unitary space-time constellations
- Efficient quantization for overcomplete expansions in /spl Ropf//sup N/
- Resilience properties of redundant expansions under additive noise and quantization
- Modern sampling theory. Mathematics and applications
- Quantized frame expansions with erasures
This page was built for publication: Second-order sigma-delta (\(\Sigma \Delta\)) quantization of finite frame expansions
