TY - GEN
T1 - On the spectrum of large random hermitian finite-band matrices
AU - Somekh, Oren
AU - Simeone, Osvaldo
AU - Zaidel, Benjamin M.
AU - Vincent Poor, H.
AU - Shamai, Shlomo
PY - 2008
Y1 - 2008
N2 - 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.
AB - 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.
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U2 - 10.1109/ITA.2008.4601092
DO - 10.1109/ITA.2008.4601092
M3 - Conference contribution
AN - SCOPUS:52949139075
SN - 1424426707
SN - 9781424426706
T3 - 2008 Information Theory and Applications Workshop - Conference Proceedings, ITA
SP - 476
EP - 479
BT - 2008 Information Theory and Applications Workshop - Conference Proceedings, ITA
T2 - 2008 Information Theory and Applications Workshop - ITA
Y2 - 27 January 2008 through 1 February 2008
ER -