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Table 2 Optimization coefficients for problem (16)

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