Performance of homogeneous and asynchronous ad hoc network with interference alignment

In this work, we introduce multiple-input-multiple-output (MIMO) interference alignment (IA) in an homogeneous and asynchronous ad hoc network. Perfect channel state information and working status of nodes are conveyed by instantaneous feedback link to one-hop neighbors. Transmitters align their interference to receivers and receivers eliminate interference by zero-forcing method asynchronously. The feasibility conditions for IA are considered as a critical factor to the performance, and the situations are divided according to whether the feasibility condition can be satisfied or not. We derive closed-form expressions for the upper and lower bounds on outage probability and transmission capacity in both cases. Numerical results show that with larger path loss exponent and number of antennas, the performance increases because a greater proportion of the interference can be eliminated.