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In this paper analytical models of the energy consumption are presented which uses a real world radio model with two different low power modes. This model is used to compare energy consumption of different MAC protocols. The MAC protocols used for the comparison are chosen with sensor networks is mind. The energy consumption of the nodes in a sensor network needs to be minimized to maximize the lifetime of the network. Emphasis is placed on MAC protocols, since they have a big influence on the energy consumption. One of the MAC protocols uses a low power Wake Up Receiver (WURx) which is used to decrease the total energy dissipation. The WURx MAC protocol is compared with two other low power MAC protocols, namely the asynchronous X-MAC and synchronous TDMA protocol. The obtained model is used to derive the WURx power budget. The response time of the nodes is used as the main design requirement and the important application parameters are given that determine the WURx power budget.