Delay analysis and improvement of the device discovery protocol in Bluetooth

Device discovery is a fundamental step in the operation of a Bluetooth network. In this process, one device obtains the 48-bit address and native clock values of another device. These values are subsequently used in the paging process, i.e., establishing a connection, between the two devices. While a device is in the process of discovering other devices, there is a random delay. We present a theoretical analysis of the delay and its verification by simulation studies. Our analysis reveals that sometimes the delay can be very large - much larger than the average delay. We propose two ways to reduce this extreme delay and the average delay. These proposals can be easily incorporated in the standard.