Spectrum sensing with energy harvesting from a water flow

In this paper, we derive the detection probability (DP) of spectrum sensing using the energy detector when primary user (PU) harvests power from a water flow. PU signal is received at a secondary user (SU) where spectrum sensing is performed. We also derive a lower bound of the DP when PU harvests power from a water flow. The harvested power is proportional to the power of three of water speed being modelled by a Gaussian random variable and depends also on water density, plate length and width. We show that the DP improves as the number of symbols K used in spectrum sensing increases. We also study the effect of false alarm probability. As the harvesting time increases as the harvested energy at PU increases and the DP decreases. The study is extended when there are L relays harvesting power from a water flow.