An Upper Bound on the Capacity Loss Due to Imprecise Channel State Information for General Memoryless Fading Channels

Candan C.

IEEE COMMUNICATIONS LETTERS, vol.17, no.7, pp.1348-1351, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 17 Issue: 7
  • Publication Date: 2013
  • Doi Number: 10.1109/lcomm.2013.060513.122930
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1348-1351
  • Middle East Technical University Affiliated: Yes


A remarkably simple upper bound on the capacity loss due to imprecise channel state information (CSI) is presented for single-input single-output (SISO) general memoryless fading channels, (Capacity Loss) <= log(1 + var(h - (h) over cap )SNR) where var(h - (h) over cap) represents the variance of channel estimation error, i.e. CSI inaccuracy. The bound extends earlier work on Rayleigh channels to general memoryless channels and confirms that the effect of CSI inaccuracies on the communication capacity is secondary to the receiver noise when the signal-to-noise ratio (SNR) is smaller than the reciprocal of the channel estimation error variance, SNR < 1/ var(h - <(h)over cap>). An extension to the single-input multiple-output (SIMO) case is also provided.