Some embodiments provide a method in a wireless device for reporting channel state information, CSI, for a CSI process. The CSI process corresponds to a reference signal resource and an associated interference measurement resource, IMR. According to the method, the wireless device obtains an interference power adjustment value. The wireless device estimates interference and noise based on the IMR, and on the interference power adjustment value. Furthermore, the wireless device determines channel state information based on an estimated effective channel measured based on the reference signal resource, and on the estimated interference and noise. Finally, the wireless device transmits the channel state information to a network node.