## Abstract

In this report slow frequency-hopping systems are analyzed with respect to the probability of successful transmission of packets, and with respect to the throughput. It is assumed that collisions result in a loss of all information contained in the colliding packets, irrespective of the distance between the units of the system. Units transmit packets of different types with a certain probability, and the packet types can be of different lengths.

Two main modes of transmission are treated: synchronous and asynchronous transmission. In the former case, units can only begin transmission of packets at multiples of a common slot time. In the asynchronous case, no such restriction exists.

Under the given assumptions, we arrive at analytical expressions for the probability of successful transmission of packets and for the throughput. In addition, approximations of the analytical expressions are given.

Finally, two examples are given that show how our system model can be mapped onto existing systems. In the first example

Two main modes of transmission are treated: synchronous and asynchronous transmission. In the former case, units can only begin transmission of packets at multiples of a common slot time. In the asynchronous case, no such restriction exists.

Under the given assumptions, we arrive at analytical expressions for the probability of successful transmission of packets and for the throughput. In addition, approximations of the analytical expressions are given.

Finally, two examples are given that show how our system model can be mapped onto existing systems. In the first example

Original language | English |
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Publisher | Lund University |

Volume | 4 |

Publication status | Published - 2003 |

### Publication series

Name | Technical report for the Department of Electroscience |
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Volume | 4 |

ISSN (Print) | 1402-8840 |

## Subject classification (UKÄ)

- Electrical Engineering, Electronic Engineering, Information Engineering