Measuring and loggingXbee sleep power consumption in DigiMesh

I would like the log the current consumption during different times of day, and measure the power consumption of a small Xbee S2c based digimesh network (for an occupancy sensor and temperature sensor) throughout an entire day. the sensors stay in sleep mode and wake up every 3 minutes to transmit data. Please suggest a method by which i can do this. Measuring using a multimeter is not an option as this needs to happen for an entire day. I am also receiving the data using an arduino module and plan on implementing a control algorithm based on the sensor input.

Any help would be appreciated, thank you.