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Spectral distribution of the product of two random matrices based on binary block codes

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Babadi, B; Tarokh, V
Published in: 2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011
December 1, 2011

In this paper, we study the spectral distribution of the product of two random matrices based on binary block codes, and prove that if the dual distances of the underlying codes are large enough, the asymptotic spectral distribution will be close to a deterministic limit in the sense of Lévy distance. These results extend our previous work on this topic, and strengthen its applications to joint randomness testing. © 2011 IEEE.

Duke Scholars

Published In

2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011

DOI

Publication Date

December 1, 2011

Start / End Page

917 / 919
 

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Babadi, B., & Tarokh, V. (2011). Spectral distribution of the product of two random matrices based on binary block codes. In 2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011 (pp. 917–919). https://doi.org/10.1109/Allerton.2011.6120264
Babadi, B., and V. Tarokh. “Spectral distribution of the product of two random matrices based on binary block codes.” In 2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011, 917–19, 2011. https://doi.org/10.1109/Allerton.2011.6120264.
Babadi B, Tarokh V. Spectral distribution of the product of two random matrices based on binary block codes. In: 2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011. 2011. p. 917–9.
Babadi, B., and V. Tarokh. “Spectral distribution of the product of two random matrices based on binary block codes.” 2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011, 2011, pp. 917–19. Scopus, doi:10.1109/Allerton.2011.6120264.
Babadi B, Tarokh V. Spectral distribution of the product of two random matrices based on binary block codes. 2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011. 2011. p. 917–919.

Published In

2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011

DOI

Publication Date

December 1, 2011

Start / End Page

917 / 919