On information rates of the fading Wyner cellular model via the thouless formula for the strip
- 1 March 2008
- proceedings article
- Published by Institute of Electrical and Electronics Engineers (IEEE)
Abstract
We apply the theory of random Schrodinger operators to the analysis of multi-users communication channels similar to the Wyner model, which are characterized by short-range inter-cell broadcasting. With H the channel transfer matrix, HH¿ is a narrow-band matrix and in many aspects is similar to a random Schrodinger operator. We relate the per-cell sum-rate capacity of the channel to the integrated density of states of a random Schrodinger operator; the latter is related to the top Lyapunov exponent of a random sequence of matrices via a version of the Thouless formula. Unlike related results in classical random matrix theory, limiting results do depend on the underlying fading distributions. We also derive explicit results in the high-SNR regime for some particular cases.Keywords
This publication has 6 references indexed in Scilit:
- On information rates of the fading Wyner cellular model via the thouless formula for the stripPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2008
- Random Matrix Theory and Wireless CommunicationsFoundations and Trends® in Communications and Information Theory, 2004
- Capacity of Multi‐antenna Gaussian ChannelsEuropean Transactions on Telecommunications, 1999
- Spectral Theory of Random Schrödinger OperatorsPublished by Springer Nature ,1990
- Products of Random Matrices with Applications to Schrödinger OperatorsPublished by Springer Nature ,1985
- Log h lder continuity of the integrated density of states for stochastic Jacobi matricesCommunications in Mathematical Physics, 1983