Capacity and optimal resource allocation for fading broadcast channels-Part I: Ergodic capacity

Research output: Contribution to journalArticlepeer-review

369 Scopus citations


In multiuser wireless systems, dynamic resource allocation between users and over time significantly improves efficiency and performance. In this two-part paper, we study three types of capacity regions for fading broadcast channels and obtain their corresponding optimal resource allocation strategies: the ergodic (Shannon) capacity region, the zero-outage capacity region, and the outage capacity region with nonzero outage. In Part I, we derive the ergodic capacity region of an M-user fading broadcast channel for code division (CD), time division (TD), and frequency division (FD), assuming that both the transmitter and the receivers have perfect channel side information (CSI). It is shown that by allowing dynamic resource allocation, TD, FD, and CD without successive decoding have the same ergodic capacity region, while optimal CD has a larger region. Optimal resource allocation policies are obtained for these different spectrum-sharing techniques. A simple suboptimal policy is also proposed for TD and CD without successive decoding that results in a rate region quite close to the ergodic capacity region. Numerical results are provided for different fading broadcast channels. In Part II, we obtain analogous results for the zero-outage capacity region and the outage capacity region.

Original languageEnglish (US)
Pages (from-to)1083-1102
Number of pages20
JournalIEEE Transactions on Information Theory
Issue number3
StatePublished - Mar 2001
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences


  • Broadcast channels
  • Capacity region
  • Fading channels
  • Optimal resource allocation


Dive into the research topics of 'Capacity and optimal resource allocation for fading broadcast channels-Part I: Ergodic capacity'. Together they form a unique fingerprint.

Cite this