Packet Error Rate Distribution Between Random Bluetooth Piconet Pairs

  • Authors:

  • Brian S. Peterson;Rusty O. Baldwin;Richard A. Raines

  • Affiliations:

  • National Air and Space Intelligence Center, Wright Patterson Air Force Base, Ohio;Department of Electrical and Computer Engineering, Air Force Institute of Technology, USA;Department of Electrical and Computer Engineering, Air Force Institute of Technology, USA

  • Venue:
  • Wireless Personal Communications: An International Journal
  • Year:
  • 2005

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Abstract

The packet error rate between two piconets depends on the temporal alignment of their packets and the spectral alignment of the intervals from which the frequencies in their hop sequence are chosen. The relationship between two randomly paired piconets is one of over 828 billion possible relationships. We define these relationships and derive an expression for determining the packet error rate for a specific pair of piconets using single-slot packets. We derive the probability mass function for the packet error rate and extend it to provide the possible packet error rates for an arbitrary number of neighboring piconets. We also derive a probability mass function for the goodput of a piconet with a neighboring piconet. The probability mass functions for the packet error rate is bimodal, meaning the expected value of the goodput or packet error rate is not a good choice for piconet performance analysis.