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Sub‐linear capacity scaling for multi‐path channel models
Author(s) -
Bentosela F.,
Soccorsi E.
Publication year - 2010
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1249
Subject(s) - mathematics , channel capacity , independent and identically distributed random variables , scaling , channel (broadcasting) , matrix (chemical analysis) , bounded function , path loss , topology (electrical circuits) , linear system , scale (ratio) , control theory (sociology) , mathematical analysis , telecommunications , statistics , computer science , combinatorics , wireless , random variable , geometry , materials science , physics , control (management) , quantum mechanics , artificial intelligence , composite material , coding (social sciences)
The theoretic capacity of a communication system constituted of several transmitting/receiving elements is determined by the singular values of its transfer matrix. Results based on an independent identically distributed channel model, representing an idealized rich propagation environment, state that the capacity is directly proportional to the number of antennas. Nevertheless there is growing experimental evidence that the capacity gain can be at best scaled at a sub‐linear rate with the system size. In this paper, we show under appropriate assumptions on the transfer matrix of the system that the theoretic information‐capacity of multi‐antenna systems is upper bounded by a sub‐linear function of the number of transmitting/receiving links. Copyright © 2009 John Wiley & Sons, Ltd.