Consider a multi$-$user massive MIMO system consisting of L cells and K users in each cell. Let h$\_$ik$^$j~ CN$(0,\backslash$beta $\_$ik$^$j I$\_$M $)$be the channel from user k in i$^$thcell to BS in j$^$th cell. Show that

Var$\{$h$\_$jk$^$j $^2/($E$$h$\_$jk$^$j $^2)\}=1/$M

Var$\{(($h$\_$li$^$j$)^$H h$\_$jk$^$j$)/($E$$h$\_$li$^$j $^2$ E$$h$\_$jk$^$j $^2)\}=1/$M