Research Article

On the Performance of MMSE Channel Estimation in Massive MIMO Systems over Spatially Correlated Rician Fading Channels

Table 2

Symbols and notation.

NotationDescription

Scalar (lowercase letters)
Vector (bold lowercase letters)
Matrix (bold uppercase letters)
PDF of the random variable
Expectation
Covariance
Transpose
Hermitian transpose
Determinant
Euclidean norm
Trace of a matrix
Circularly symmetric Gaussian random variable (: mean, : variance)
Circularly symmetric complex Gaussian random variable (: mean, : variance)
identity matrix
vector with zeros
vector with ones
Imaginary unit ()
ULA interelement spacing
Number of UEs in the M-MIMO system
Number of antennas in the ULA
Received power at the BS
noise vector
vector containing the received samples
spatial correlation matrix
channel matrix containing the small-scale fading
channel matrix containing correlated entries
Signal matrix used for channel estimation
processed pilot signal vector for the th UE
Channel gain for the th antenna and the th UE
NLOS component in the channel gain for the th antenna and the th UE
LOS specular component in the channel gain for the th antenna and the th UE
Variance of real Gaussian random variables in the NLOS component of the channel gain for the th user
Rician factor for the fading affecting the th UE
AoA for the th UE
Angle of arriving of the planar wave at the ULA
Wavelength
SNR
matrix containing pilot sequences
th pilot sequence of length
Set of positive integer numbers