By assuming that the steering vector is a complex Gaussian random vector, the beamformer can be viewed as a mixture of conditional MMSE estimates weighted by the posterior PDF of the random steering vector.
where denotes the dimensional space of complex column vectors, is a given integer, is the state, is the input, is the set of nonnegative integers.
Moreover, it is shown in Appendix 1 that the equivalent noise vector n is a complex Gaussian random vector with zero mean and covariance matrix σ 2 H with (mathbf {H}=[mathbf {H}_{1}, ldots, mathbf {H}_{K}] in mathbb {C}^{KNMtimes KNM}).
The vector n is a complex N r -dimensional noise vector whose elements are complex white Gaussian noise samples with zero-mean and variance ({sigma ^{2}_{n}}), and (mathbb {E},[textbf {n}, textbf {n}^{dag }] = {sigma ^{2}_{n}}textbf {I}), where † denotes the complex conjugate transpose, I is the identity matrix, and denotes expectation.
The noise vector n is a complex zero-mean Gaussian-distributed random vector with covariance matrix C = σ n 2I. 2I.
({mathbf {x}} sim mathcal {CN}left ({{boldsymbol {mu }}, {mathbf {Lambda }}} right)) means the vector x is a complex Gaussian variable with mean μ and covariance Λ.
In the PSP paper [ 2], each feature C in the cluster vector is a protein complex from the CORUM database.
Anopheles culicifaces, a rural Indian vector of malaria is a complex of five sibling species, of which species B has been known to be a refractory species [17].
(mathcal {CN}(0,sigma ^{2})) denotes a circularly symmetric complex Gaussian random variable with variance σ 2. (mathbb {C}^{ktimes 1}) represents a k×1 vector where each element is a complex number.
Before transmission, the signal to be transmitted is weighted by the beamforming vector p k w k where w k is a complex vector with ||w k || = 1 and p k is the transmit power for the k-th user signal.
