Title :
Spectral distribution of the product of two random matrices based on binary block codes
Author :
Babadi, Behtash ; Tarokh, Vahid
Author_Institution :
Sch. of Eng. & Appl. Sci., Harvard Univ., Cambridge, MA, USA
Abstract :
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 Levy distance. These results extend our previous work on this topic, and strengthen its applications to joint randomness testing.
Keywords :
binary codes; block codes; matrix algebra; Levy distance; asymptotic spectral distribution; binary block codes; joint randomness testing; random matrix; Atmospheric measurements; Base stations; Binary codes; Block codes; Educational institutions; Niobium; Particle measurements;
Conference_Titel :
Communication, Control, and Computing (Allerton), 2011 49th Annual Allerton Conference on
Conference_Location :
Monticello, IL
Print_ISBN :
978-1-4577-1817-5
DOI :
10.1109/Allerton.2011.6120264
