Table 1 Computation of \({\mathbf {e}_{{z_{k,i}}}}\), 1≤i≤N+1, i≠n, for a given z _k,n

Initialization

1: \({\mathbf {e}_{{z_{k,1}}}} = \mathbf {w}_{k}^{MRT}\)

2: for i=2:N+1

3: if i≠n

4: \(\;\;\;\,\,\,\;{\mathbf {e}_{{z_{k,i}}}} = \frac {{{\mathbf {h}_{{z_{k,i}}}} - \sum \limits _{j = 1,j \ne n}^{i - 1} {{{\left ({\mathbf {h}_{{z_{k,i}}}^{H}{\mathbf {e}_{{z_{k,j}}}}} \right)}^{H}}{\mathbf {e}_{{z_{k,j}}}}} }}{{\left \| {{\mathbf {h}_{{z_{k,i}}}} - \sum \limits _{j = 1,j \ne n}^{i - 1} {{{\left ({\mathbf {h}_{{z_{k,i}}}^{H}{\mathbf {e}_{{z_{k,j}}}}} \right)}^{H}}{\mathbf {e}_{{z_{k,j}}}}}} \right \|}}\;\;\;\)

5: end

6: end