BS	Base Station
CSI	Channel State Information
GA	Genetic Algorithm
I-CSI	Instantaneous CSI
IRS	Intelligent Reflecting Surfaces
LoS	Line-of-Sight
NLoS	Non-LoS
MIMO	Multiple-Input Multiple-Output
MISO	Multiple-Input Single-Output
mMIMO	massive MIMO
MRC	Maximum Ratio Combining
PSO	Particle Swarm Optimization
S-CSI	Statistical CSI
SNR	Signal-to-Noise Ration
UE	User Equipment
ULA	Uniform Linear Array
UPA	Uniform Planar Array
${\beta }_0,{\beta }_1$	Constant path loss factors.
${\beta }_{\mathrm{c}}$	Pathloss of the BS-UE link
${\beta }_{\mathrm{d}}$	Pathloss of the BS-IRS-UE link
$\mathit{\theta }$	Phase shift vector at the IRS
$\overline{\mathit{\theta }}$	Phase shift vector at the IRS considering only S-CSI
$({\theta }_{\mathrm{IRS}},{\theta }_{\mathrm{BS}})$	Elevation angles
$\kappa$	Rician factor for all links
$\lambda$	Wavelength
$\xi$	Amplitude reflection coefficient
$\sigma$	Power noise
$\tau$	Estimation accuracy
${\varphi }_{\mathrm{bi}}$	Random phase in the LoS components of the BS-IRS link
${\varphi }_{\mathrm{bu}}$	Random phase in the LoS components of the BS-UE link
${\varphi }_{\mathrm{iu}}$	Random phase in the LoS components of the IRS-UE link
${\phi }_{\mathrm{IRS}}$	Azimuth angle
B	Number of bits per each element at the IRS
$d_{\mathrm{bi}}$	BS-IRS link distance
$d_{\mathrm{BS}}$	Distance among the BS elements
$d_{\mathrm{bu}}$	BS-UE link distance
$d_{\mathrm{IRS}}$	Distance among the IRS elements
$d_{\mathrm{iu}}$	IRS-UE link distance
$\mathbf{E}$	Estimation error
$G_{\mathrm{r}}$	Antenna gain at the UE
$G_{\mathrm{t}}$	Antenna gain at the BS
${\mathbf{h}}_{\mathrm{bu}}$	BS-UE channel vector
${\mathbf{h}}_{\mathrm{bu}}^{\mathrm{LoS}}$	Deterministic LoS components of the BS-UE link
${\mathbf{h}}_{\mathrm{bu}}^{\mathrm{NLoS}}$	Rayleigh fading of the BS-UE link
${\mathbf{h}}_{\mathrm{iu}}$	IRS-UE channel vector
${\mathbf{h}}_{\mathrm{iu}}^{\mathrm{LoS}}$	Deterministic LoS components of the IRS-UE link
${\mathbf{h}}_{\mathrm{iu}}^{\mathrm{NLoS}}$	Rayleigh fading of the IRS-UE link
${\mathbf{H}}_{\mathrm{bi}}$	BS-IRS channel matrix
${\mathbf{H}}_{\mathrm{bi}}^{\mathrm{LoS}}$	Deterministic LoS components of the BS-IRS link
${\overline{H}}_{\mathrm{bi}}^{\mathrm{LoS}}$	Imperfect estimation of the LoS components of the BS-IRS link
K	Phase shift levels
L	GA population size
M	Number of elements at the IRS
$M_{\mathrm{h}}$	Number of elements in the horizontal level at the IRS
$M_{\mathrm{v}}$	Number of elements in the vertical level at the IRS
n	Additive white Gaussian noise at the UE
N	Number of antennas at the BS
$N_{\mathrm{it}}$	Number of iterations at the GA
$N_{\mathrm{f}}$	Number of elements selected by the elitism process
$p_{\mathrm{c}}$	Crossover probability
$p_{\mathrm{mut}}$	Mutation probability
$P_{\mathrm{t}}$	Transmit power at the BS
$\mathcal{R}$	Achievable rate at the UE
s	Transmitted data
$\mathcal{T}$	Set of all possible discrete phases at the IRS
$T_{\mathrm{tourn}}$	Number of elements selected to compete in a tournament.
$\mathbf{w}$	Beamforming vector at the BS
$\overline{\mathbf{w}}$	Beamforming vector at the BS considering only S-CSI
$(x_{\mathrm{b}},y_{\mathrm{b}})$	BS position
$(x_{\mathrm{i}},y_{\mathrm{i}})$	IRS position
$(x_{\mathrm{u}},y_{\mathrm{u}})$	UE position
y	Received signal at the IRS