Stability analysis for several second-order Sigma-Delta methods of coarse quantization of bandlimited functions

DOI10.1007/s00365-002-0505-2zbMath1020.94510OpenAlexW2067416723MaRDI QIDQ1862761

Özgür Yılmaz

Publication date: 30 September 2003

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-002-0505-2

zbMATH Keywords

samplingquantization schemesoversamplingbandlimited functionsredundant representationcoarse quantizationsigma-delta modulationsigma-delta quantization

Mathematics Subject Classification ID

Robust stability (93D09) Modulation and demodulation in information and communication theory (94A14)

Related Items (16)

Second-order sigma-delta (\(\Sigma \Delta\)) quantization of finite frame expansions ⋮ Perfect spline approximation ⋮ Alternative dual frames for digital-to-analog conversion in sigma-delta quantization ⋮ ON COARSE QUANTIZATION OF TIGHT GABOR FRAME EXPANSIONS ⋮ Quantization of compressive samples with stable and robust recovery ⋮ Coarse quantization of highly redundant time-frequency representations of square-integrable functions ⋮ Sigma-Delta Quantization for Fusion Frames and Distributed Sensor Networks ⋮ Pointwise comparison of PCM and \(\Sigma \Delta \) quantization ⋮ On the geometry and regularity of invariant sets of piecewise-affine automorphisms on the Euclidean space ⋮ An optimal family of exponentially accurate one-bit Sigma-Delta quantization schemes ⋮ Randomly dithered quantization and sigma-delta noise shaping for finite frames ⋮ Quantization and Finite Frames ⋮ Sobolev duals in frame theory and Sigma-Delta quantization ⋮ Coefficient quantization in Banach spaces ⋮ Ergodic dynamics in sigma-delta quantization: tiling invariant sets and spectral analysis of error ⋮ High-order low-bit Sigma-Delta quantization for fusion frames

Cites Work

• Unnamed Item
• Approximating a bandlimited function using very coarsely quantized data: a family of stable sigma-delta modulators of arbitrary order
• The effect of integrator leak in Sigma - Delta modulation
• Sigma-delta modulation with leaky integration and constant input

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