On massive MIMO performance with semi-orthogonal pilot-assisted channel estimation

EURASIP Journal on Wireless Communications and Networking

Table 1 Notational definition

Symbols	Constraints	Meanings
y^k[i]	$y^{k} [i] \in C^{M \times 1}$	Received signal at the BS when the
y^k[i]	$y^{k} [i] \in C^{M \times 1}$	k th user transmits pilot
w^k[i]	$w^{k} [i] \in C^{M \times 1}$	Unit variance AWGN when the
w^k[i]	$w^{k} [i] \in C^{M \times 1}$	k thuser transmits pilot
φ _k	$φ_{k} \in C$ , $φ_{k}^{*} φ_{k} = 1$	The k th user’s pilot
$q_{t}^{k} [i]$	$q_{t}^{k} [i] \in C$	The t th user’s uplink data signal when
$q_{t}^{k} [i]$	$q_{t}^{k} [i] \in C$	the k th user transmits pilot
q_t[i]	$q_{t} [i] \in C$	The t th user’s uplink data signal
q_t[i]	$q_{t} [i] \in C$	after the channel estimation period
s_t[i]	$s_{t} [i] \in C$	The t th user’s downlink data signal