Table 1 The synthesis of the transmission scenario and the optimal power allocation in both phases
Phase and | PS’s activity | Sensing results | Mode of | Related probability | CS’s | CR k ’s |
|---|---|---|---|---|---|---|
fraction time | transmission | power | power | |||
First phase: α T | Active or absent | - | Underlay | P α | \(\min \left (P,\frac {I}{Z_{0}}\right)\) | \(\min \left (P,\frac {I}{Z_{k}}\right)\) |
Second phase: β T | Active: H p (i)=H 1 | H s (i)=H 1 | Underlay | P β (1−P a )P d | \(\min \left (P,\frac {I}{Z_{0}}\right)\) | \(\min \left (P,\frac {I}{Z_{k}}\right)\) |
Active: H p (i)=H 1 | H s (i)=H 0 | Interweave | P β (1−P a )(1−P d ) | P | P | |
Absent: H p (i)=H 0 | H s (i)=H 1 | Underlay | P β P a P f | \(\min \left (P,\frac {I}{Z_{0}}\right)\) | \(\min \left (P,\frac {I}{Z_{k}}\right)\) | |
Absent: H p (i)=H 0 | H s (i)=H 0 | Interweave | P β P a (1−P f ) | P | P |