The DOI matches its Crossref record; 28 of the 28 references it cites were found in a registry or an index.
Compressed Sensing With Quantized Measurements
Abstract
We consider the problem of estimating a sparse signal from a set of quantized, Gaussian noise corrupted measurements, where each measurement corresponds to an interval of values. We give two methods for (approximately) solving this problem, each based on minimizing a differentiable convex function plus anl1regularization term. Using a first order method developed by Hale et al, we demonstrate the performance of the methods through numerical simulation. We find that, using these methods, compressed sensing can be carried out even when the quantization is very coarse, e.g., 1 or 2 bits per measurement.
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Cites
Boyd, S., & Vandenberghe, L. (2004) · doi:10.1017/cbo9780511804441 · Cited by 56,601
Self-citationRegression shrinkage and selection via the lasso
Tibshirani, R. (1996) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1996.tb02080.x · Cited by 51,482
Donoho, D. L. (2006) · IEEE Transactions on Information Theory · doi:10.1109/tit.2006.871582 · Cited by 23,994
Donoho, D. L. (2004) · Cited by 16,703
Nonlinear total variation based noise removal algorithms
Rudin, L. I., Osher, S., & Fatemi, E. (1992) · Physica D: Nonlinear Phenomena · doi:10.1016/0167-2789(92)90242-f · Cited by 15,704
Candes, E. J., Romberg, J., & Tao, T. (2006) · IEEE Transactions on Information Theory · doi:10.1109/tit.2005.862083 · Cited by 15,639
Self-citationEfron, B., Hastie, T., Johnstone, I., & Tibshirani, R. (2004) · The Annals of Statistics · doi:10.1214/009053604000000067 · Cited by 9,357
Stable signal recovery from incomplete and inaccurate measurements
Candès, E. J., Romberg, J. K., & Tao, T. (2006) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.20124 · Cited by 7,036
Figueiredo, M. A. T., Nowak, R. D., & Wright, S. J. (2007) · IEEE Journal of Selected Topics in Signal Processing · doi:10.1109/jstsp.2007.910281 · Cited by 3,524
An Interior-Point Method for Large-Scale -Regularized Least Squares
Kim, S.-J., Koh, K., Lustig, M., Boyd, S., & Gorinevsky, D. (2007) · IEEE Journal of Selected Topics in Signal Processing · doi:10.1109/jstsp.2007.910971 · Cited by 2,083
Self-citation
Cited by
Channel Estimation in Broadband Millimeter Wave MIMO Systems With Few-Bit ADCs
Mo, J., Schniter, P., & Heath, R. W. (2018) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2017.2781644 · Cited by 348
Metadata
- Authors
- Zymnis, A., Boyd, S., & Candes, E.
- Venue
- IEEE Signal Processing Letters
- Published
- 2010-02
- Volume
- 17
- Issue
- 2
- Pages
- 149-152
- ISSN
- 1070-9908 (ISSN-L)
- 1558-2361
- OpenAlex
- W2154423986
- Cited by
- 316
- References
- 28
- FWCI
- 16.53
- Type
- journal article
- Language
- en
- Open access
- closed
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