On Bluetooth performance with diversity reception in fading channels

This paper investigates the impact of diversity reception techniques on the performance of Bluetooth (BT) packet transmission in fading channels. We firstly derive a tight parametric exponential approximation for the bit error probability in additive white Gaussian noise depending on GFSK modulation parameters according to the BT standard. Then, from this expression we derive the mean block error probability (BLEP) for DH packets transmission in Rayleigh fading channel by adopting different diversity reception techniques, such as selection diversity and maximal ratio combining (MRC). In particular, the impact of the diversity order and combining techniques on the BLEP is shown. For the MRC technique, we also obtain a tight bound on the BLEP. Furthermore, we extend the results for MRC to Nakagami-m fading and we obtain the parameters of exponential approximation for a general GFSK modulation, although out of BT standard, showing their impact on both the performance and spectrum.