DocumentCode :
1355565
Title :
On Information Rates of the Fading Wyner Cellular Model via the Thouless Formula for the Strip
Author :
Levy, Nathan ; Zeitouni, Ofer ; Shamai, Shlomo
Author_Institution :
Dept. de Math. et Applic., Ecole Normale Super., Paris, France
Volume :
56
Issue :
11
fYear :
2010
Firstpage :
5495
Lastpage :
5514
Abstract :
In this paper, we apply the theory of random Schrödinger operators to the analysis of multiusers communication channels similar to the Wyner model, which are characterized by short-range intercell interference. With H the channel transfer matrix, HHf is a narrow band matrix, a fact that does not permit the use of classical random matrices theory. On the other hand, HHf is in many aspects similar to a random Schrödinger operator. We relate the per-cell sum-rate capacity of the channel to the integrated density of states of a random Schrödinger operator; the latter is then related to the top Lyapunov exponent of a random sequence of matrices via a version of the Thouless formula. We also derive several bounds on the limiting per-cell sum-rate capacity, some based on the theory of random Schrödinger operators, and some derived from information theoretical considerations. Finally, we get explicit results in the high-signal-to-noise ratio (SNR) regime for some particular cases.
Keywords :
Schrodinger equation; cellular radio; channel capacity; fading channels; matrix algebra; multiuser channels; radiofrequency interference; Lyapunov exponent; SNR; Thouless formula; channel transfer matrix; classical random matrices theory; fading Wyner cellular model; multiuser communication channel; narrow band matrix; random Schrödinger operator theory; random sequence; short-range intercell interference; signal-to-noise ratio; sum-rate channel capacity; Distributed antenna array; Wyner cellular uplink; fading channels; high-signal-to-noise ratio (SNR) characterization; random matrices; sum-rate capacity;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2010.2070130
Filename :
5605346
Link To Document :
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