Zero-forcing precoding: Difference between revisions

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Zero-forcing (or Null-Steering) precoding is a method of spatial signal processing by which the multiple antenna transmitter can null multiuser interference signals in [[wireless|wireless communications]]. Regularized '''zero-forcing precoding''' is enhanced processing to consider the impact on a background [[noise]] and unknown user [[Interference (communication)|interference]],<ref>{{cite journal|author=B. C. B. Peel, B. M. Hochwald, and A. L. Swindlehurst|title=A vector-perturbation technique for near-capacity multiantenna multiuser communication - Part I: channel inversion and regularization|journal=IEEE Trans. Commun.|pages=195–202|volume=53|date=Jan 2005|doi=10.1109/TCOMM.2004.840638}}</ref> where the background noise and the unknown user interference can be emphasized in the result of (known) interference signal nulling.

In particular, '''Null-Steering''' is a method of [[beamforming]] for [[narrowband]] [[signal processing|signals]] where we want to have a simple way of compensating delays of receiving signals from a specific source at different elements of the antenna array. In general to make better use of the antenna arrays, we better to sum and average the signals coming to different elements, but this is only possible when delays are equal. Otherwise we first need to compensate the delays and then to sum them up. To reach this goal, we may only add the weighted version of the signals with appropriate weight values. We do this in such a way that the frequency ___domain output of this weighted sum produces a zero result. This method is called null steering. The generated weights are of course related to each other and this relation is a function of delay and central working frequency of the source.

==Performance of Zero-forcing Precoding==