From: Resource allocation for OFDM-based multiuser cooperative underlay cognitive systems
Cases | \(b_{s,(n-1)}^{k}\) |
\(P_{p,(n-1)}^{k}\neq 0\) and \(\left |h_{sp}^{k}\right |^{2} \leq \left |h_{ss_{u_{[k]}}}^{k}\right |^{2}\) | \(\frac {\left |h_{ss_{u_{[k]}}}^{k}\right |^{2}}{n_{0}+ \left |h_{sp}^{k}\right |^{2} P_{p,(n-1)}^{k}} \) |
\(P_{p,(n-1)}^{k}\neq 0\) and \(\left |h_{sp}^{k}\right |^{2} > \left |h_{ss_{u_{[k]}}}^{k}\right |^{2}\) | \(\frac {\left |h_{ss_{u_{[k]}}}^{k}\right |^{2} }{n_{0}}\) |
\(P_{p,(n-1)}^{k}=0\) | \(\frac {\left |h_{ss_{u_{[k]}}}^{k}\right |^{2} }{n_{0}}\) |
Cases | a k |
\(P_{p,(n-1)}^{k}\neq 0\) and \(\left |h_{sp}^{k}\right |^{2}\geq \left |h_{ss_{u_{[k]}}}^{k}\right |^{2}\) | \(\left |h_{sp}^{k}\right |^{2} \left |h_{ps_{u_{[k]}}}^{k}\right |^{2} - \left |h_{pp}^{k}\right |^{2} \left |h_{ss_{u_{[k]}}}^{k}\right |^{2}\) |
All other cases | 0 |
Cases | c k |
\(P_{p,(n-1)}^{k}\neq 0\) and \(\left |h_{sp}^{k}\right |^{2}\geq \left |h_{ss_{u_{[k]}}}^{k}\right |^{2}\) | \(n_{0} \left (\left |h_{pp}^{k}\right |^{2} - \left |h_{sp}^{k}\right |^{2} \right)\) |
All other cases | 0 |