Coarse quantization of highly redundant time-frequency representations of square-integrable functions

DOI10.1016/S1063-5203(03)00020-4zbMath1027.94515MaRDI QIDQ1399096

Özgür Yılmaz

Publication date: 30 July 2003

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

zbMATH Keywords

Gabor framesoversamplingcoarse quantizationWeyl-Heisenberg framessigma-delta quantizationredundant time-frequency representationswindowed Fourier frames

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Modulation and demodulation in information and communication theory (94A14)

Related Items (5)

ON COARSE QUANTIZATION OF TIGHT GABOR FRAME EXPANSIONS ⋮ Frame paths and error bounds for sigma-delta quantization ⋮ A geometric construction of tight multivariate Gabor frames with compactly supported smooth windows ⋮ Pointwise comparison of PCM and \(\Sigma \Delta \) quantization ⋮ High-order low-bit Sigma-Delta quantization for fusion frames

Cites Work

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• Gabor analysis and algorithms. Theory and applications
• Approximating a bandlimited function using very coarsely quantized data: a family of stable sigma-delta modulators of arbitrary order
• Foundations of time-frequency analysis
• Stability analysis for several second-order Sigma-Delta methods of coarse quantization of bandlimited functions
• Roundoff error analysis of the recursive moving window discrete Fourier transform
• Noise reduction in tight Weyl-Heisenberg frames
• Ten Lectures on Wavelets
• Two theorems on lattice expansions
• On the robustness of single-loop sigma-delta modulation

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