Abstract
In this paper, we investigate the interference alignment (IA) for a class of partially connected multi-input multi-output heterogeneous networks, which consist of $L$ fully connected pico cells, $J$ partially connected pico cells, and one macro cell. In particular, we investigate the feasibility of IA conditions with no channel extensions, $T$ -independent channel extensions, and $T$ -dependent channel extensions, respectively, for the single beam case. We present three theorems to characterize some necessary conditions, which $L$ , $J$ , $T$ , and the channel diversity order $\overline L$ must jointly satisfy when IA conditions are feasible. These necessary conditions also implicitly impose the constraints on the upper bounds of achievable degrees of freedom with different channel extensions.
Published Version
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