On sparse representation of analytic signal in Hardy space

DOI10.1002/mma.2752zbMath1281.30036OpenAlexW2014675061MaRDI QIDQ2867872

Tao Qian, Shuang Li

Publication date: 20 December 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2752

zbMATH Keywords

Hardy spacereproducing kernelssparse representationcompressed sensing\(\ell _{1}\)-minimization

Mathematics Subject Classification ID

Hardy spaces (30H10) Blaschke products (30J10) Numerical methods in complex analysis (potential theory, etc.) (65E99)

Cites Work

• Frequency-domain identification: An algorithm based on an adaptive rational orthogonal system
• Compressed sensing with coherent and redundant dictionaries
• Enhancing sparsity by reweighted \(\ell _{1}\) minimization
• On the stability of the basis pursuit in the presence of noise
• Adaptive Fourier series---a variation of greedy algorithm
• SVD compression, unitary transforms, and computational complexity
• Compressed sensing and best 𝑘-term approximation
• Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
• Decoding by Linear Programming
• Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
• Compressed Sensing and Redundant Dictionaries
• Atomic Decomposition by Basis Pursuit
• Uncertainty principles and ideal atomic decomposition
• Analytic Phase Derivatives, All-Pass Filters and Signals of Minimum Phase
• Algorithm of Adaptive Fourier Decomposition
• Matching pursuits with time-frequency dictionaries
• Compressed sensing

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