Convergence Rate of Empirical Spectral Distribution of Random Matrices from Linear Codes
Publication
, Journal Article
Chan, CH; Tarokh, V; Xiong, M
Published in: IEEE Transactions on Information Theory
February 1, 2021
It is known that the empirical spectral distribution of random matrices obtained from linear codes of increasing length converges to the well-known Marchenko-Pastur law, if the Hamming distance of the dual codes is at least 5. In this paper, we prove that the convergence rate in probability is at least of the order n{-1/4} where n is the length of the code.
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Published In
IEEE Transactions on Information Theory
DOI
EISSN
1557-9654
ISSN
0018-9448
Publication Date
February 1, 2021
Volume
67
Issue
2
Start / End Page
1080 / 1087
Related Subject Headings
- Networking & Telecommunications
- 4613 Theory of computation
- 4006 Communications engineering
- 1005 Communications Technologies
- 0906 Electrical and Electronic Engineering
- 0801 Artificial Intelligence and Image Processing
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MLA
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Chan, C. H., Tarokh, V., & Xiong, M. (2021). Convergence Rate of Empirical Spectral Distribution of Random Matrices from Linear Codes. IEEE Transactions on Information Theory, 67(2), 1080–1087. https://doi.org/10.1109/TIT.2020.3039175
Chan, C. H., V. Tarokh, and M. Xiong. “Convergence Rate of Empirical Spectral Distribution of Random Matrices from Linear Codes.” IEEE Transactions on Information Theory 67, no. 2 (February 1, 2021): 1080–87. https://doi.org/10.1109/TIT.2020.3039175.
Chan CH, Tarokh V, Xiong M. Convergence Rate of Empirical Spectral Distribution of Random Matrices from Linear Codes. IEEE Transactions on Information Theory. 2021 Feb 1;67(2):1080–7.
Chan, C. H., et al. “Convergence Rate of Empirical Spectral Distribution of Random Matrices from Linear Codes.” IEEE Transactions on Information Theory, vol. 67, no. 2, Feb. 2021, pp. 1080–87. Scopus, doi:10.1109/TIT.2020.3039175.
Chan CH, Tarokh V, Xiong M. Convergence Rate of Empirical Spectral Distribution of Random Matrices from Linear Codes. IEEE Transactions on Information Theory. 2021 Feb 1;67(2):1080–1087.
Published In
IEEE Transactions on Information Theory
DOI
EISSN
1557-9654
ISSN
0018-9448
Publication Date
February 1, 2021
Volume
67
Issue
2
Start / End Page
1080 / 1087
Related Subject Headings
- Networking & Telecommunications
- 4613 Theory of computation
- 4006 Communications engineering
- 1005 Communications Technologies
- 0906 Electrical and Electronic Engineering
- 0801 Artificial Intelligence and Image Processing