Impact of power control and lognormal shadowing on the mean transmit power of Bluetooth devices

This letter analyzes Bluetoothʹs power-control algorithm with a goal to study the mean transmit power required in the presence of lognormal shadowing. The following results are found. 1) A smaller power-control step size yields a lower mean transmit power. 2) When the standard deviations of lognormal shadowing are 3 and 6 dB, respectively, a Bluetooth device needs to consume 11.1 dB and 15.0 dB more in the transmit energy than the minimum one required in the absence of shadowing. 3) The transmit energy consumption varies by around 6 dB among Bluetooth devices as a result of the + 6 dB tolerance in the golden receive power range, which has a nominal size of 20 dB.