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One of the main challenges in cognitive networks is how to make the Secondary User (SU) obtain maximum capacity and simultaneously ensure that the Primary User (PU) bears the minimum interference during power allocation. In this paper, the authors first presented a general mutual interference case between PUs and SUs and then they specify the case with a single SU and multiple PUs, where both the SU and the PUs are Orthogonal Frequency-Division Multiplexing (OFDM) modulated. Moreover, the mutual interference between the SU and the PUs is comprehensively formulated as restrictions on the SU's transmission power.
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