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Zero-forcing (or null-steering) precoding is a method of spatial signal processing by which a multiple antenna transmitter can null the multiuser interference in a multi-user MIMO wireless communication system<ref>{{Cite journal |last=Taesang Yoo |last2=Goldsmith |first2=A. |date=2005 |title=Optimality of zero-forcing beamforming with multiuser diversity |url=http://ieeexplore.ieee.org/document/1494410/ |publisher=IEEE |volume=1 |pages=542–546 |doi=10.1109/ICC.2005.1494410 |isbn=978-0-7803-8938-0}}</ref>. When the channel state information is perfectly known at the transmitter, the zero-forcing precoder is given by the pseudo-inverse of the channel matrix. Zero-forcing has been used in [[LTE (telecommunication)|LTE]] mobile networks<ref>{{Cite journal |last=Aslan |first=Yanki |last2=Roederer |first2=Antoine |last3=Fonseca |first3=Nelson |last4=Angeletti |first4=Piero |last5=Yarovoy |first5=Alexander |date=2021-10 |title=Orthogonal Versus Zero-Forced Beamforming in Multibeam Antenna Systems: Review and Challenges for Future Wireless Networks |url=https://ieeexplore.ieee.org/document/9548673/ |journal=IEEE Journal of Microwaves |volume=1 |issue=4 |pages=879–901 |doi=10.1109/JMW.2021.3109244 |issn=2692-8388}}</ref>.
==Mathematical description==
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