Toeplitz Compressed Sensing Matrices With Applications to Sparse Channel Estimation

By Jarvis D. Haupt, Waheed Uz Zaman Bajwa, Gil M. Raz, Robert D. Nowak. IEEE Transactions on Information Theory, 2010

437 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Computational Mechanics, Computer Networks and Communications

View Paper: https://www.semanticscholar.org/paper/ce8ecdd9ec5fb91c98accf64a0a596ffe4f221c0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

1. Marco F. Duarte
2. Yonina C. Eldar
3. Richard Baraniuk
4. Justin K. Romberg
5. Martin J. Wainwright
6. Jason N. Laska
7. E.J. Candes
8. Yaniv Plan

In Computational Mechanics

1. Richard Baraniuk
2. Yonina C. Eldar
3. Marco F. Duarte
4. Martin J. Wainwright
5. E.J. Candes
6. Justin K. Romberg
7. Guillermo Sapiro
8. Bin Yu

In Computer Networks and Communications

1. Martin J. Wainwright
2. Justin K. Romberg
3. Yaniv Plan
4. Richard Baraniuk
5. Bin Yu
6. Yonina C. Eldar
7. E.J. Candes
8. Garvesh Raskutti

Citations in the corpus

• Deep Neural Networks with Random Gaussian Weights: A Universal Classification Strategy? (2015, background): “In addition, with the strategy in [39]–[42], it is possible to generalize our guarantees to sub-Gaussian distributions and to random convolutional filters.”
• A Probabilistic and RIPless Theory of Compressed Sensing (2010, background): “In fact, such a measurement mechanism has been studied in detail [40], [28], [41], [42], with strong theoretical results.”
• Structured Compressed Sensing: From Theory to Applications (2011, methodology): “The use of Toeplitz and circulant structures [89]–[91] as CS”
• The Convex Geometry of Linear Inverse Problems (2010, neutral): “For instance, in compressed sensing, much work focuses on randomly sampled Fourier coefficients [16] and random Toeplitz and circulant matrices [42, 62].”
• Beyond Nyquist: Efficient Sampling of Sparse Bandlimited Signals (2009, background): “An idea closely related to this—convolution with a random waveform followed by subsampling—has appeared in the compressed sensing literature [39], [40], [41], [42].”
• Restricted Eigenvalue Properties for Correlated Gaussian Designs (2010, background): “It would be of interest to determine such scaling can be established for the random Toeplitz matrices considered by Haupt et al. (2010).”
• Sparsity and Compressed Sensing in Radar Imaging (2010, background): “In recent CS literature, restricted isometry properties are established in [ 64 ] for observation matrices that exhibit structured statistical dependencies.”