Throughput scaling laws for wireless networks with fading channels

Masoud Ebrahimi, Mohammad Ali Maddah-Ali, Amir K. Khandani

Research output: Contribution to journalArticlepeer-review

26 Scopus citations


A network of n communication links, operating over a shared wireless channel, is considered. Fading is assumed to be the dominant factor affecting the strength of the channels between transmitter and receiver terminals. It is assumed that each link can be active and transmit with a constant power P or remain silent. The objective is to maximize the throughput over the selection of active links. By deriving an upper bound and a lower bound, it is shown that in the case of Rayleigh fading: (i) the maximum throughput scales like log n; (ii) the maximum throughput is achievable in a distributed fashion. The upper bound is obtained using probabilistic methods, where the key point is to upper bound the throughput of any random set of active links by a chi-squared random variable. To obtain the lower bound, a decentralized link activation strategy is proposed and analyzed.

Original languageEnglish (US)
Pages (from-to)4250-4254
Number of pages5
JournalIEEE Transactions on Information Theory
Issue number11
StatePublished - Nov 2007
Externally publishedYes


  • Decentralized link activation
  • Fading channel
  • Scaling law
  • Throughput
  • Wireless network


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