On the Spectrum of Large Random Hermitian Finite-Band Matrices

Details On the Spectrum of Large Random Hermitian Finite-Band Matrices On the Spectrum of Large Random Hermitian Finite-Band Matrices

2008-05-10

arxiv.org/abs/0805.1437v1

Computer Science

Information Theory

Presented in the "open problems" session of the 2008 Information Theory and Applications (ITA) workshop, UCSD

Scientific paper

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 information-theoretic 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.

Affiliated with

Also associated with

No associations

Rating

On the Spectrum of Large Random Hermitian Finite-Band Matrices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Spectrum of Large Random Hermitian Finite-Band Matrices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Spectrum of Large Random Hermitian Finite-Band Matrices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-188596