Mathematics of Analog‐to‐Digital Conversion
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Publication:4650167
DOI10.1002/cpa.21425zbMath1261.94017OpenAlexW1980084535MaRDI QIDQ4650167
Publication date: 23 November 2012
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cpa.21425
analog-to-digital conversionscalar quantizationbandlimited functionscompressive samplingdigital-to-analog conversionSigma-Delta modulation
Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Sampling theory in information and communication theory (94A20) Modulation and demodulation in information and communication theory (94A14)
Related Items (4)
Random Lochs’ Theorem ⋮ Approximation with one-bit polynomials in Bernstein form ⋮ On the geometry and regularity of invariant sets of piecewise-affine automorphisms on the Euclidean space ⋮ Distributed noise-shaping quantization. I: Beta duals of finite frames and near-optimal quantization of random measurements
Uses Software
Cites Work
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- Explicit constructions of RIP matrices and related problems
- Lower bounds for the error decay incurred by coarse quantization schemes
- Sobolev duals in frame theory and Sigma-Delta quantization
- Small ball probabilities around random centers of Gaussian measures and applications to quantization
- Approximating a bandlimited function using very coarsely quantized data: a family of stable sigma-delta modulators of arbitrary order
- From greedy to lazy expansions and their driving dynamics
- Sobolev duals for random frames and \(\varSigma \varDelta \) quantization of compressed sensing measurements
- Foundations of quantization for probability distributions
- Deterministic constructions of compressed sensing matrices
- Ergodic dynamics in sigma-delta quantization: tiling invariant sets and spectral analysis of error
- An optimal family of exponentially accurate one-bit Sigma-Delta quantization schemes
- Compressed sensing and best 𝑘-term approximation
- On theβ-expansions of real numbers
- On sparse reconstruction from Fourier and Gaussian measurements
- Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
- A/D conversion with imperfect quantizers
- Refined Error Analysis in Second-Order<tex>$Sigma Delta $</tex>Modulation With Constant Inputs
- Robust and Practical Analog-to-Digital Conversion With Exponential Precision
- On Robustness Properties of Beta Encoders and Golden Ratio Encoders
- One-bit sigma-delta quantization with exponential accuracy
- Approximating a bandlimited function using very coarsely quantized data: Improved error estimates in sigma-delta modulation
- Almost Every Number Has a Continuum of b-Expansions
- On the robustness of single-loop sigma-delta modulation
- The pros and cons of democracy
- Quantization
- Data compression and harmonic analysis
- Beyond Nyquist: Efficient Sampling of Sparse Bandlimited Signals
- Dequantizing Compressed Sensing: When Oversampling and Non-Gaussian Constraints Combine
- The Golden Ratio Encoder
- For most large underdetermined systems of equations, the minimal 𝓁1‐norm near‐solution approximates the sparsest near‐solution
- Stable signal recovery from incomplete and inaccurate measurements
- Compressed sensing
- Geometric discrepancy. An illustrated guide
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