Advances in Pervasive Computing and Networking

Appendix: (2.C) Proof of Lemma 2.6

We can group all cells into c 4 = ?2 ? + 6 ? 2 lattices. Each lattice consists of nodes that are ?2 ? + 6 ? / m apart along the X-axis or the Y-axis (see Fig. 2.2). The cells of each lattice can be active at the same time since

  • the transmission range from a node to a neighboring node is at most 2/ m, and

  • any interfering transmitters are at least (2 ? + 2)/ m distance away from the receiver.

We can schedule the c 4 lattices in a round-robin fashion and each lattice is active for 1/ c 4 amount of time.

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