### Abstract

Recently, there has been a proliferation of wireless

communication technologies in unlicensed bands for the Internet

of Things. A key question is whether these networks can coexist

given that they have different power levels, symbol periods,

and access protocols. The main challenge is to characterize

the impact of mutual interference arising from distinct uncoordinated

networks. It is known that when interferers form

a homogeneous Poisson point process and transmit only on a

single subband, the interference is often well-modeled by the

heavy-tailed α-stable distribution. In this paper, we focus on

the scenario where interferers transmit on multiple subbands.

Under a policy where each interferer independently accesses each

band with probability p, we provide an exact characterization of

the interference random vector. Exploiting this characterization,

we derive optimal linear combining weights and an analytical

approximation for the bit error rate (BER), accurate for large

transmit power. A key observation is that the expression for the

BER admits an interpretation in terms of an array gain and a

fractional diversity gain.

communication technologies in unlicensed bands for the Internet

of Things. A key question is whether these networks can coexist

given that they have different power levels, symbol periods,

and access protocols. The main challenge is to characterize

the impact of mutual interference arising from distinct uncoordinated

networks. It is known that when interferers form

a homogeneous Poisson point process and transmit only on a

single subband, the interference is often well-modeled by the

heavy-tailed α-stable distribution. In this paper, we focus on

the scenario where interferers transmit on multiple subbands.

Under a policy where each interferer independently accesses each

band with probability p, we provide an exact characterization of

the interference random vector. Exploiting this characterization,

we derive optimal linear combining weights and an analytical

approximation for the bit error rate (BER), accurate for large

transmit power. A key observation is that the expression for the

BER admits an interpretation in terms of an array gain and a

fractional diversity gain.

Original language | English |
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Title of host publication | Proceedings of ICC 2020 |

Number of pages | 6 |

Publication status | Accepted/In press - 2020 |

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### Cite this

Zheng, C., Clavier, L., Egan, M., Pedersen, T., & Gorce, J-M. (Accepted/In press). Linear Combining in Dependent α-Stable Interference. In

*Proceedings of ICC 2020*