Feedback of differential precoder for geometrical mean decomposition systems

Hung-Chun Chen; Yuan-Pei Lin

ICASSP 2016accepted0 citations

Feedback of differential precoder for geometrical mean decomposition systems

Abstract

For a time-correlated channel, we consider the differential feedback of the geometrical mean decomposition (GMD) precoder, which is known to be optimal for a number of criteria. When the channel varies slowly, we can expect the optimal GMD precoders of consecutive channel uses to be close. We consider the feedback of the so-called differential precoder and show that it lies in a neighborhood of the identity matrix using matrix perturbation theory. Furthermore the radius of the neighborhood is proportional to a time-correlation parameter. Such a characterization is crucial for efficient quantization of the differential precoder. Simulations are given to demonstrate that, with a small feedback rate, the performance of the proposed differential GMD comes close to the case when perfect channel state information is available to the transmitter.

BibTeX

@inproceedings{icassp2016_feedbackofdiffer,
  title = {Feedback of differential precoder for geometrical mean decomposition systems},
  author = {Hung-Chun Chen and Yuan-Pei Lin},
  booktitle = {ICASSP 2016},
  year = {2016}
}