Zero-forcing precoding: Difference between revisions

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The pseudo-inverse can be obtained by any method, not necessarily through the Moore–Penrose inverse method. This is an unneeded detail for the brief introductory description of the method.
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Zero-forcing (or null-steering) precoding is a method of spatial signal processing by which a multiple antenna transmittertransmitters can null the multiuser interference in a multi-user MIMO wireless communication system. When the channel state information is perfectly known at the transmitter, then the zero-forcing precoder is given by the pseudo-inverse of the channel matrix.
 
==Mathematical description==
In a multiple antenna downlink system which comprises anof <math>N_t</math> transmit antenna access pointpoints and <math>K</math> single receive antenna users, such that <math>K \leq N_t</math>, the received signal of user <math>k</math> is described as
 
:<math>y_k = \mathbf{h}_k^T \mathbf{x} + n_k, \quad k=1,2, \ldots, K</math>