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Defining to be the precoding matrix, and defining to be the power allocated to the th user, the power transmitted by the th AP is (11).
The matrix notation is obtained by letting (mathbf {G} = [ mathbf {g}_{1}, ldots, mathbf {g}_{K} ] in mathbb {C}^{M times K}) be the precoding matrix and (mathbf {s} = [s_{1}, ldots, s_{K}]^{text {tiny T}} sim mathcal {CN}(mathbf {0}_{Ktimes 1},mathbf {I}_{ K} ) be the vector containing all UT data symbols.
Similar(58)
F is the precoding matrix.
where is the precoding matrix.
In (25), (26), and (27), P is the precoding matrix derived from the legitimate users' channel.
where is the transmitted symbol vector with data streams, is the precoding matrix with precoding vectors, and denotes the matrix transposition: (4).
That is, the precoding matrix by ZFBF or BD eliminates not only the undesired interference signal, but also the intended signal, and the reduction of the desired signal is roughly proportional to the distance between its own channel and the precoding matrix.
When precoding is used, the precoding matrix is denoted by where, and in case of spatial multiplexing.
Assuming a qualified vector U i ‡ has been selected, the precoding matrix Q can be generated as Q = α R U ‡ ( U ‡ ) H, (60).
When the BD precoding schemes is used, the precoding matrices are chosen in order to eliminate the multiuser interference only, such that.
In the other extreme case, if the channels among the selected users is in the same direction or plane, the desired signal is lost completely since the precoding matrix is orthogonal to the channel of the desired signal.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com