The monograph "Interference in Large Wireless Networks" by Martin Haenggi and Radha Krishna Ganti provides a comprehensive overview of the statistical characterization of interference in large wireless networks. The authors focus on two main determinants of interference: network geometry (spatial distribution of concurrently transmitting nodes) and path loss law (signal attenuation with distance). The book is structured into several sections, each addressing different aspects of interference in regular and Poisson networks. 1. **Introduction**: - **Interference Characterization**: Introduces the concept of interference and its impact on network performance. - **Signal-to-Interference-Plus-Noise Ratio (SINR) and Outage**: Discusses the importance of SINR in determining network performance and the outage probability. 2. **Interference in Regular Networks**: - **General Deterministic Networks**: Analyzes interference in networks with deterministic node placement, such as lattices. - **One-Dimensional Lattices**: Derives Laplace transforms and probability densities for interference in one-dimensional lattices. - **Two-Dimensional Lattices**: Examines interference in square and triangular lattices, providing bounds and approximations for the mean interference. 3. **Interference in Poisson Networks**: - **Shot Noise**: Establishes a connection between shot noise and interference, highlighting the relevance of power law shot noise in wireless networks. - **Interference Distribution**: Characterizes the distribution of total interference power in Poisson networks, including mean interference and interference distribution with and without fading. - **Interference Distribution with Fading**: Derives the Laplace transform of interference in Poisson networks with Rayleigh fading, using both deterministic network de-conditioning and probability generating functionals. 4. **Interference in Poisson Cluster Networks**: - **Interference Characterization**: Focuses on interference in clustered Poisson networks, providing insights into the impact of node clustering on interference. 5. **Interference in General Motion-Invariant Networks**: - **System Model**: Introduces a general motion-invariant network model. - **Properties of the Interference**: Discusses key properties of interference in such networks. - **Bounds on the Interference Distribution**: Provides bounds for the interference distribution. - **Asymptotic Behavior**: Analyzes the asymptotic behavior of the interference distribution. - **Examples and Simulation Results**: Offers examples and simulation results to support the theoretical findings. The monograph aims to provide a rigorous mathematical foundation for understanding and analyzing interference in large wireless networks, with a focus on analytical techniques and closed-form results. It is a valuable resource for researchers and practitioners in the field of wireless communications.The monograph "Interference in Large Wireless Networks" by Martin Haenggi and Radha Krishna Ganti provides a comprehensive overview of the statistical characterization of interference in large wireless networks. The authors focus on two main determinants of interference: network geometry (spatial distribution of concurrently transmitting nodes) and path loss law (signal attenuation with distance). The book is structured into several sections, each addressing different aspects of interference in regular and Poisson networks. 1. **Introduction**: - **Interference Characterization**: Introduces the concept of interference and its impact on network performance. - **Signal-to-Interference-Plus-Noise Ratio (SINR) and Outage**: Discusses the importance of SINR in determining network performance and the outage probability. 2. **Interference in Regular Networks**: - **General Deterministic Networks**: Analyzes interference in networks with deterministic node placement, such as lattices. - **One-Dimensional Lattices**: Derives Laplace transforms and probability densities for interference in one-dimensional lattices. - **Two-Dimensional Lattices**: Examines interference in square and triangular lattices, providing bounds and approximations for the mean interference. 3. **Interference in Poisson Networks**: - **Shot Noise**: Establishes a connection between shot noise and interference, highlighting the relevance of power law shot noise in wireless networks. - **Interference Distribution**: Characterizes the distribution of total interference power in Poisson networks, including mean interference and interference distribution with and without fading. - **Interference Distribution with Fading**: Derives the Laplace transform of interference in Poisson networks with Rayleigh fading, using both deterministic network de-conditioning and probability generating functionals. 4. **Interference in Poisson Cluster Networks**: - **Interference Characterization**: Focuses on interference in clustered Poisson networks, providing insights into the impact of node clustering on interference. 5. **Interference in General Motion-Invariant Networks**: - **System Model**: Introduces a general motion-invariant network model. - **Properties of the Interference**: Discusses key properties of interference in such networks. - **Bounds on the Interference Distribution**: Provides bounds for the interference distribution. - **Asymptotic Behavior**: Analyzes the asymptotic behavior of the interference distribution. - **Examples and Simulation Results**: Offers examples and simulation results to support the theoretical findings. The monograph aims to provide a rigorous mathematical foundation for understanding and analyzing interference in large wireless networks, with a focus on analytical techniques and closed-form results. It is a valuable resource for researchers and practitioners in the field of wireless communications.