Corpus ID: 114334528

Coherence estimates between Hadamard matrices and Daubechies wavelets

  title={Coherence estimates between Hadamard matrices and Daubechies wavelets},
  author={Vegard Antun},
  • Vegard Antun
  • Published 2016
  • Mathematics
  • Traditionally the compressive sensing theory have been focusing on the three principles of sparsity, incoherence and uniform random subsampling. Recent years research have shown that these principles yield insufficient results in many practical setups. This has lead to the development of the principles of asymptotic sparsity, asymptotic incoherence and multilevel random subsampling. As a result of these principles, the current theory is limited to unitary sampling and sparsifying operators. For… CONTINUE READING
    9 Citations
    Close Encounters of the Binary Kind: Signal Reconstruction Guarantees for Compressive Hadamard Sampling With Haar Wavelet Basis
    • 4
    • PDF
    Uniform recovery in infinite-dimensional compressed sensing and applications to structured binary sampling
    • 9
    • PDF
    Non-uniform recovery guarantees for binary measurements and infinite-dimensional compressed sensing
    • 1
    • PDF
    On the stable sampling rate for binary measurements and wavelet reconstruction
    • 8
    • Highly Influenced
    • PDF
    Linear reconstructions and the analysis of the stable sampling rate
    • 5
    • PDF
    Improved recovery guarantees and sampling strategies for TV minimization in compressive imaging
    • PDF


    A Probabilistic and RIPless Theory of Compressed Sensing
    • E. Candès, Y. Plan
    • Mathematics, Computer Science
    • IEEE Transactions on Information Theory
    • 2011
    • 440
    • Highly Influential
    • PDF
    On asymptotic structure in compressed sensing
    • 64
    • Highly Influential
    • PDF
    Generalized Sampling and Infinite-Dimensional Compressed Sensing
    • 127
    • Highly Influential
    • PDF
    Sensitivity to Basis Mismatch in Compressed Sensing
    • 280
    • PDF
    Breaking the coherence barrier: A new theory for compressed sensing
    • 204
    • Highly Influential
    • PDF
    Optimally sparse representation in general (nonorthogonal) dictionaries via ℓ1 minimization
    • D. Donoho, Michael Elad
    • Computer Science, Medicine
    • Proceedings of the National Academy of Sciences of the United States of America
    • 2003
    • 2,671
    • PDF
    A First Course on Wavelets
    • 971
    Compressed Sensing: Theory and Applications
    • 1,021
    • PDF
    Making Do with Less: An Introduction to Compressed Sensing
    • 49
    • PDF
    Compressive fluorescence microscopy for biological and hyperspectral imaging
    • 246
    • PDF