Analytical Expressions of Properties of MANETs Uniformly Distributed in Rectangular Area

Research on analytical expressions of properties of mobile ad hoc networks (MANETs) is of great importance to research works on MANETs. Based on combinatorial theory and asymptotic technique, the distribution of the Euclidean distances between node pairs in MANETs with nodes uniformly distributed in rectangular scenario is analyzed. A closed mathematical formula is obtained. Then, analytical expressions of some properties of uniform MANETs in rectangular scenario are obtained. Results obtained in the paper are verified through simulations.