Sum-rate analysis of downlink channels with 1-bit feedback

Oren Somekh, Alexander M. Haimovich, Yeheskel Bar-Ness

Research output: Contribution to journalArticlepeer-review

32 Scopus citations


The sum-rate capacity of a single-input singleoutput (SISO) downlink with Rayleigh flat fading channels and K users, grows as log logK when optimal scheduling is employed. However, the optimal scheduling requires that the full channel state information (CSI) for all users be available to the transmitter. In this work it is shown that the same rate growth holds even if the feedback rate from the users to the transmitter is reduced to 1-bit per fading block. A simple analysis for this setup is presented, resulting in a closed form expression for the achievable ergodic sum-rate. The mechanism of setting a suboptimal threshold is elucidated by simple lower and upper bounds to the sum-rate. Among the insights afforded by the sum-rate expression and the bounds, is that application of the sub-optimal threshold demonstrates the same scaling law as the optimal full CSI scheme, asymptotically with the number of users K.

Original languageEnglish (US)
Pages (from-to)137-139
Number of pages3
JournalIEEE Communications Letters
Issue number2
StatePublished - Feb 2007

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Computer Science Applications
  • Electrical and Electronic Engineering


  • Broadcast channel
  • Limited feedback
  • Opportunistic scheduling


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