On the hopping pattern design for D2D Discovery
  The hopping pattern for D2D Discovery are investi- gated. We propose three metrics for hopping pattern performance evaluation: column period, maximal collision ratio, maximal con- tinual collision number. A class of hopping patterns is constructed based on the metrics, and through simulation the patterns show better discovery performance. 
Qizhi Zhang, Deping Liu
cs.NI math.NT