Transmit equal gain precoding in rayleigh fading channels

Shang-Ho Tsai*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


Precoding with limited feedback information can achieve satisfactory performance while the amount of feedback information is kept small. In this paper, we analyze the theoretical performance of equal gain precoder and find that its performance is at most 1.049 dB worse than the optimal precoder no matter how the number of transmit antennas increases. Moreover, we analyze the performance degradation of the equal gain precoder due to scalar quantization theoretically. The result shows that 2-3 bits per transmit antenna (excluding the first antenna) can achieve 0.5-0.25-dB performance gap compared with the same scheme without quantization. Furthermore, we found that the equal gain precoder in general can achieve comparable performance with the Grassmannian precoder in the same moderate feedback bits. Simulation results are provided to corroborate the theoretical results.

Original languageEnglish
Pages (from-to)3717-3721
Number of pages5
JournalIEEE Transactions on Signal Processing
Issue number9
StatePublished - 3 Sep 2009


  • Beamforming
  • Equal gain precoding
  • Limited feedback
  • MIMO
  • Precoding
  • Scalar quantization


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