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.

UR - http://www.scopus.com/inward/record.url?scp=52949139075&partnerID=8YFLogxK

U2 - 10.1109/ITA.2008.4601092

DO - 10.1109/ITA.2008.4601092

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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 -