White Noise Hypothesis for Uniform Quantization Errors

DOI10.1137/050636929zbMath1122.94022OpenAlexW2064559932MaRDI QIDQ5426939

Long Wang, David Jiménez, Yang Wang

Publication date: 16 November 2007

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/02185859d8b07240fb41a00f6a47c2c3c01c8ab6

zbMATH Keywords

tight frameFrameswhite noise hypothesisquantization errors in pulse code schemes

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Sampling theory in information and communication theory (94A20)

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Error bounds for consistent reconstruction: random polytopes and coverage processes ⋮ Alternative dual frames for digital-to-analog conversion in sigma-delta quantization ⋮ Balanced frames: a useful tool in signal processing with good properties ⋮ The lower bound of the PCM quantization error in high dimensions ⋮ Improvement of the lower bound of the PCM quantization error for vectors in \(\mathbb{R}^2\) ⋮ 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 ⋮ Lattice quantization error for redundant representations ⋮ Memoryless scalar quantization for random frames

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