# Coverage Probability Analysis Under Clustered Ambient Backscatter Nodes

## TL;DR

This paper analyzes the coverage probability in large-scale ambient backscatter networks with randomly distributed nodes, considering interference and fading, and derives analytical expressions for different network configurations.

## Contribution

It introduces a stochastic geometry model for AmBC networks with Poisson and Poisson cluster processes, deriving coverage probability expressions considering interference.

## Key findings

- Coverage probability can be maintained with a large number of AmBC nodes.
- Analytical expressions for SINR and SIR coverage probabilities are derived.
- Numerical results show feasibility of integrating many AmBC nodes into existing networks.

## Abstract

In this paper, we consider a new large-scale communication scheme where randomly distributed AmBC nodes are involved as secondary users to primary transmitter (PT) and primary receiver (PR) pairs. The secondary communication between a backscatter transmitter (BT) and a backscatter receiver (BR) is conducted by the BT's reflecting its corresponding PT's signal with different antenna impedances, which introduces additional double fading channels and potential inter-symbol-interference to the primary communications. Thus, at a typical PR, the backscatter signals are regarded as either decodable signals or interference. Assuming the locations of PTs form a Poisson point process and the locations of BTs form a Poisson cluster process, we derive the SINR and SIR based coverage probabilities for two network configuration scenarios. Numerical results on the coverage probabilities indicate the possibility to involve a large amount of AmBC nodes in existing wireless networks.