English

Limited Feedback-based Block Diagonalization for the MIMO Broadcast Channel

Information Theory 2016-11-17 v1 math.IT

Abstract

Block diagonalization is a linear precoding technique for the multiple antenna broadcast (downlink) channel that involves transmission of multiple data streams to each receiver such that no multi-user interference is experienced at any of the receivers. This low-complexity scheme operates only a few dB away from capacity but requires very accurate channel knowledge at the transmitter. We consider a limited feedback system where each receiver knows its channel perfectly, but the transmitter is only provided with a finite number of channel feedback bits from each receiver. Using a random quantization argument, we quantify the throughput loss due to imperfect channel knowledge as a function of the feedback level. The quality of channel knowledge must improve proportional to the SNR in order to prevent interference-limitations, and we show that scaling the number of feedback bits linearly with the system SNR is sufficient to maintain a bounded rate loss. Finally, we compare our quantization strategy to an analog feedback scheme and show the superiority of quantized feedback.

Keywords

Cite

@article{arxiv.0711.3251,
  title  = {Limited Feedback-based Block Diagonalization for the MIMO Broadcast Channel},
  author = {Niranjay Ravindran and Nihar Jindal},
  journal= {arXiv preprint arXiv:0711.3251},
  year   = {2016}
}

Comments

20 pages, 4 figures, submitted to IEEE JSAC November 2007

R2 v1 2026-06-21T09:45:31.811Z