The performance of ad hoc networks is fundamentally limited by interference, especially by the interference from nearby transmitting nodes. In this work, we introduce vector space interference alignment (IA) to an ad hoc network scenario to efficiently eliminate interference. However, according to its feasibility conditions, vector space IA is impractical to implement in dense ad hoc networks directly. Therefore, we define an IA range to divide the ad hoc network into smaller local networks. The interference induced by the transmitters located in the pre-specified IA range is completely aligned and eliminated via an IA approach. Considering the effect of the interference from the transmitters located outside the IA range, the upper and lower bounds of outage probability and transmission capacity are characterized. Monte Carlo simulation results have validated the performance improvement provided by the proposed IA scheme in ad hoc networks.
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