Capacity of block Rayleigh fading channels without CSI

Mainak Chowdhury, Andrea Goldsmith

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Scopus citations


A system with a single antenna at the transmitter and receiver and no channel state information at either is considered. The channel experiences block Rayleigh fading with a coherence time of T0 symbol times and the fading statistics are assumed to be known perfectly. The system operates with a finite average transmit power. It is shown that the capacity optimal input distribution in the T0-dimensional space is the product of the distribution of an isotropically-distributed unit vector and a distribution on the 2-norm in the T0-dimensional space which is discrete and has a finite number of points in the support. Numerical evaluations of this distribution and the associated capacity for a channel with fading and Gaussian noise for a coherence time T0 = 2 are presented for representative SNRs. It is also shown numerically that an implicit channel estimation is done by the capacity-achieving scheme.

Original languageEnglish (US)
Title of host publicationProceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages5
ISBN (Electronic)9781509018062
StatePublished - Aug 10 2016
Externally publishedYes
Event2016 IEEE International Symposium on Information Theory, ISIT 2016 - Barcelona, Spain
Duration: Jul 10 2016Jul 15 2016

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
ISSN (Print)2157-8095


Other2016 IEEE International Symposium on Information Theory, ISIT 2016

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Information Systems
  • Modeling and Simulation
  • Applied Mathematics


  • Block fading channels
  • capacityachieving input distribution
  • no CSI
  • noncoherent communications


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