Mathematics of Analog‐to‐Digital Conversion (Q4650167)

scientific article; zbMATH DE number 6110294

Language	Label	Description	Also known as
English	Mathematics of Analog‐to‐Digital Conversion	scientific article; zbMATH DE number 6110294

Statements

instance of

scholarly article

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title

Mathematics of Analog‐to‐Digital Conversion (English)

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published in

Communications on Pure and Applied Mathematics

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publication date

23 November 2012

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zbMATH Keywords

analog-to-digital conversion

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digital-to-analog conversion

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scalar quantization

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bandlimited functions

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compressive sampling

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Sigma-Delta modulation

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author

C. Sinan Güntürk

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describes a project that uses

Delta Sigma

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/cpa.21425

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cites work

Sobolev duals in frame theory and Sigma-Delta quantization

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Explicit constructions of RIP matrices and related problems

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The pros and cons of democracy

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Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information

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Stable signal recovery from incomplete and inaccurate measurements

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Compressed sensing and best 𝑘-term approximation

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From greedy to lazy expansions and their driving dynamics

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Approximating a bandlimited function using very coarsely quantized data: a family of stable sigma-delta modulators of arbitrary order

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A/D conversion with imperfect quantizers

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The Golden Ratio Encoder

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Robust and Practical Analog-to-Digital Conversion With Exponential Precision

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An optimal family of exponentially accurate one-bit Sigma-Delta quantization schemes

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Small ball probabilities around random centers of Gaussian measures and applications to quantization

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Deterministic constructions of compressed sensing matrices

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Compressed sensing

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For most large underdetermined systems of equations, the minimal 𝓁<sub>1</sub>‐norm near‐solution approximates the sparsest near‐solution

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Data compression and harmonic analysis

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Foundations of quantization for probability distributions

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Quantization

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Sobolev duals for random frames and $\varSigma \varDelta $ quantization of compressed sensing measurements

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One-bit sigma-delta quantization with exponential accuracy

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Approximating a bandlimited function using very coarsely quantized data: Improved error estimates in sigma-delta modulation

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On the robustness of single-loop sigma-delta modulation

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Refined Error Analysis in Second-Order&lt;tex&gt;$Sigma Delta $&lt;/tex&gt;Modulation With Constant Inputs

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Ergodic dynamics in sigma-delta quantization: tiling invariant sets and spectral analysis of error

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Dequantizing Compressed Sensing: When Oversampling and Non-Gaussian Constraints Combine

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Q3214803

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Lower bounds for the error decay incurred by coarse quantization schemes

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Q4767350

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Geometric discrepancy. An illustrated guide

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Q4315110

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On theβ-expansions of real numbers

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On sparse reconstruction from Fourier and Gaussian measurements

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Almost Every Number Has a Continuum of b-Expansions

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Beyond Nyquist: Efficient Sampling of Sparse Bandlimited Signals

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On Robustness Properties of Beta Encoders and Golden Ratio Encoders

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Identifiers

zbMATH Open document ID

1261.94017

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DOI

10.1002/cpa.21425

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4650167