1. Understanding Radio Irregularity in Wireless Networks Joint work with Patrick Stüdi, Fabian Kuhn and Gustavo Alonso

2. Content Network Model Connectivity Edge Length Interference

3. Network Model (1) Wireless network: network of computers (nodes) without a fixed infrastructure, nodes communicate via wireless links Network Model Connectivity Edge Length Interference

4. Network Model (2) Network Model Connectivity Edge Length Interference

5. Network Model (3) Network Model Connectivity Edge Length Interference Log-normal shadowing radio propagation model

6. Transmission Area - + Network Model Connectivity Edge Length Interference

7. Connectivity & Node Degree Network Model Connectivity Edge Length Interference [Stüdi, Chinellato, Alonso 05] [Bettstetter, Hartmann 05]

8. Adaptive Power Assignment Irregular radio propagation improves connectivity. Similar phenomena known from percolation theory [Booth, Bruck, Cook, Franceschetti 03] 11 [Jonasson 01], [Roy, Tanemura 02] Network Model Connectivity Edge Length Interference

9. Distance Distribution [Trott 04] Network Model Connectivity Edge Length Interference Edge length distribution Edge power distribution under channel randomness

10. Edge Length Distribution Irregular radio propagation increases the average edge length. Network Model Connectivity Edge Length Interference

11. -Number of interferers: number of nodes that must not send concurrently to a given network link -Studied interference under log-normal shadowing and a power assignment that keeps the expected cumulated noise constant Log-normal shadowing reduces the number of interferers.Radio irregularity from log-normal shadowing is beneficial for both connectivity and interference. A comparable unit disk model is a worst case scenario for connectivity and interference. Network Model Connectivity Edge Length Interference