On MIMO beamforming systems using quantized feedback

Young Gil Kim, Norman C. Beaulieu

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


We propose the Hadamard matrix as a codebook for multiple-input multiple-output (MIMO) beamforming systems, and show that a quantized equal gain transmission (QEGT) scheme using the Hadamard codebook has the same symbol error probability performance as a receiver selection diversity combining scheme operating in independent generalized Rayleigh fading channels. We show that a MIMO beamforming system using quantized feedback over Rician fading channels can be analyzed by considering a corresponding receiver selection combining scheme operating in single-input multiple-output (SIMO) systems over correlated generalized Rician fading channels. Also, we propose a greedy cophasing scheme for MIMO beamforming systems using quantized feedback. The greedy cophasing scheme provides 3.2 dB power gain over an orthogonal space-time block code when the number of transmit antennas is four, the number of receive antennas is one, and the number of feedback bits is three.

Original languageEnglish
Article number5426515
Pages (from-to)820-827
Number of pages8
JournalIEEE Transactions on Communications
Issue number3
StatePublished - Mar 2010


  • Cophasing
  • Fading channels
  • MIMO systems
  • Quantized feedback
  • Transmitter diversity


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