Quantization and Finite Frames (Q4912898)

scientific article; zbMATH DE number 6149146

Language	Label	Description	Also known as
English	Quantization and Finite Frames	scientific article; zbMATH DE number 6149146

Statements

instance of

scholarly article

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title

Quantization and Finite Frames (English)

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Applied and Numerical Harmonic Analysis

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publication date

28 March 2013

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zbMATH Keywords

digital signal representations

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noncanonical dual frame

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quantization

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sigma-delta quantization

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Sobolev duals

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-0-8176-8373-3_8

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cites work

Pointwise comparison of PCM and \(\Sigma \Delta \) quantization

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Sigma-delta (/spl Sigma//spl Delta/) quantization and finite frames

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Second-order sigma-delta (\(\Sigma \Delta\)) quantization of finite frame expansions

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Sobolev duals in frame theory and Sigma-Delta quantization

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Erratum to: Sobolev duals in frame theory and Sigma-delta quantization

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Randomly dithered quantization and sigma-delta noise shaping for finite frames

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Frames, graphs and erasures

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Frame paths and error bounds for sigma-delta quantization

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Smooth frame-path termination for higher order sigma-delta quantization

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Lattice quantization error for redundant representations

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Quantization noise shaping on arbitrary frame expansions

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Fast and precise Fourier transforms

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Coefficient quantization for frames in Banach spaces

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Equal-norm tight frames with erasures

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Pairs of oblique duals in spaces of periodic functions

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Gabor windows supported on \([-1, 1]\) and compactly supported dual windows

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Explicitly given pairs of dual frames with compactly supported generators and applications to irregular B-splines

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Resilience properties of redundant expansions under additive noise and quantization

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On simple oversampled A/D conversion in L/sup 2/(R)

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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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Gabor time-frequency lattices and the Wexler-Raz identity

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

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Coefficient quantization in Banach spaces

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Characterization of oblique dual frame pairs

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Complex approximations using algebraic integers

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Quantized frame expansions with erasures

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Quantized overcomplete expansions in IR/sup N/: analysis, synthesis, and algorithms

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Dithered quantizers

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

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

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White Noise Hypothesis for Uniform Quantization Errors

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Root-Exponential Accuracy for Coarse Quantization of Finite Frame Expansions

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An uncertainty principle for finite frames

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Alternative dual frames for digital-to-analog conversion in sigma-delta quantization

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Optimal noise suppression: A geometric nature of pseudoframes for subspaces

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Pseudo-duals of frames with applications

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Mean squared error bounds for the Rangan-Goyal soft thresholding algorithm

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Coarse quantization for random interleaved sampling of bandlimited signals

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Error bounds for consistent reconstruction: random polytopes and coverage processes

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Recursive consistent estimation with bounded noise

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Sigma-delta quantization errors and the traveling salesman problem

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The Performance of PCM Quantization Under Tight Frame Representations

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

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Identifiers

zbMATH Open document ID

1264.42013

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DOI

10.1007/978-0-8176-8373-3_8

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4912898