Bit allocation and statistical precoding for correlated MIMO channels with limited feedback

Yuan-Pei Lin*, Hung Chun Chen, Panna Jeng

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


In this paper, we jointly consider statistical precoding and feedback of bit allocation (BA) for multiple-input-multiple-ouput (MIMO) systems over correlated channels. The proposed system will be termed a BA system. We assume that the statistics of the channel is known to the transmitter and a reverse link of very low rate is available so that the receiver can send back the quantized BA. Based on the statistics of the channel, we derive the statistical precoder so that bounds of the error rate averaged over the random correlated channel are minimized. Due to statistical precoding, the distribution of the BA is highly nonuniform. Treating BA as a vector signal, we quantize it using vector quantization (VQ), which is known to be particularly useful for quantizing signals with nonuniform distributions. As the distribution of BA is taken into consideration in the codebook design, a good tradeoff between performance and feedback rate can be achieved. Simulations show that the combination of statistical precoding and VQ-based quantization for BA leads to good performance with a small number of feedback bits.

Original languageEnglish
Article number6071016
Pages (from-to)597-606
Number of pages10
JournalIEEE Transactions on Vehicular Technology
Issue number2
StatePublished - 1 Feb 2012


  • Bit allocation
  • Correlated channel
  • MIMO
  • Precoding
  • VQ

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