A system and method for determining a Physical Uplink Control Channel (PUCCH) power control parameter h(nCQI,nHARQ) for two Carrier Aggregated (CA) PUCCH formats—PUCCH format 3 and channel selection. The value of h(nCQI,nHARQ) may be based on only a linear function of nHARQ for both of the CA PUCCH formats. Based on the CA PUCCH format configured for the User Equipment (UE), the e-Node B (eNB) may instruct the UE to select or apply a specific linear function of nHARQ as a value for the power control parameter h(nCQI,nHARQ), so as to enable the UE to more accurately establish transmit power of its PUCCH signal. Values for another PUCCH power control parameter—ΔF_PUCCH(F)—are also provided for use with PUCCH format 3. A new offset parameter may be signaled for each PUCCH format that has transmit diversity configured.