On the spectrum of large random hermitian finite-band matrices
Document Type
Conference Proceeding
Publication Date
10-6-2008
Abstract
The open problem of calculating the limiting spectrum (or its Shannon transform) of increasingly large random Hermitian finite-band matrices is described. In general, these matrices include a finite number of non-zero diagonals around their main diagonal regardless of their size. Two different communication setups which may be modeled using such matrices are presented: a simple cellular uplink channel, and a time varying inter-symbol interference channel. Selected recent informationtheoretic works dealing directly with such channels are reviewed. Finally, several characteristics of the still unknown limiting spectrum of such matrices are listed, and some reflections are touched upon.
Identifier
52949139075 (Scopus)
ISBN
[1424426707, 9781424426706]
Publication Title
2008 Information Theory and Applications Workshop Conference Proceedings Ita
External Full Text Location
https://doi.org/10.1109/ITA.2008.4601092
First Page
476
Last Page
479
Recommended Citation
Somekh, Oren; Simeone, Osvaldo; Zaidel, Benjamin M.; Vincent Poor, H.; and Shamai, Shlomo, "On the spectrum of large random hermitian finite-band matrices" (2008). Faculty Publications. 12628.
https://digitalcommons.njit.edu/fac_pubs/12628
