Asymptotically Optimal Resource Block Allocation with Limited Feedback

Ilai Bistritz*, Amir Leshem

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


Consider a channel allocation problem over a frequency-selective channel. There are K channels (frequency bands) and N users such that K=bN for some positive integer b. We want to allocate b channels (or resource blocks) to each user. Due to the nature of the frequency-selective channel, each user considers some channels to be better than others. The optimal solution to this resource allocation problem can be computed using the Hungarian algorithm. However, this requires knowledge of the numerical value of all the channel gains, which makes this approach impractical for large networks. We suggest a suboptimal approach that only requires knowing what the M-best channels of each user are. We find the minimal value of M such that there exists an allocation where all the b channels each user gets are among his M-best. This leads to the feedback of significantly less than one bit per user per channel. For a large class of fading distributions, including Rayleigh, Rician, m-Nakagami, and others, this suboptimal approach leads to both an asymptotically (in K) optimal sum rate and an asymptotically optimal minimal rate. Our non-opportunistic approach achieves (asymptotically) full multiuser diversity as well as optimal fairness in contrast to all other limited feedback algorithms.

Original languageAmerican English
Article number8500761
Pages (from-to)34-46
Number of pages13
JournalIEEE Transactions on Wireless Communications
Issue number1
StatePublished - Jan 2019
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2002-2012 IEEE.


  • Resource allocation
  • channel state information
  • multiuser diversity
  • random bipartite graphs


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