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

DOI10.1016/j.aam.2003.11.004zbMath1093.37002arXivmath/0308223OpenAlexW2150786674MaRDI QIDQ2568109

C. Sinan Güntürk, Nguyen Thi Thao

Publication date: 7 October 2005

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0308223

zbMATH Keywords

tiling dynamicsanalog-to-digital conversion of signalsanalog-to-digital encodinganalysis of reconstruction errorsdynamics of certain piecewise affine maps on \(\mathbb R^m\)

Mathematics Subject Classification ID

Related Items (12)

Second-order sigma-delta (\(\Sigma \Delta\)) quantization of finite frame expansions ⋮ Error diffusion on acute simplices: invariant tiles ⋮ Sigma-Delta Quantization for Fusion Frames and Distributed Sensor Networks ⋮ 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 ⋮ Error diffusion on simplices: the structure of bounded invariant tiles ⋮ Mathematics of Analog‐to‐Digital Conversion ⋮ Quantization and Finite Frames ⋮ Convex dynamics with constant input ⋮ Sobolev duals in frame theory and Sigma-Delta quantization ⋮ ON PLANAR PIECEWISE AND TWO-TORUS PARABOLIC MAPS ⋮ High-order low-bit Sigma-Delta quantization for fusion frames

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