Table 1: Notations and descriptions.

NotationDescription

rThe detection range
δThe duty cycle of the sensing device
φThe duty cycle of the transceiver
(·)The cumulative distribution function of random variable D
The longest delay specified by the user
The corresponding delay for
DoCDetectability in one cycle
The DoC of an event at point p
The lowest DoC all over the field
The wakeup probability of sensor Q
(p)The necessary wakeup probability of sensor at point p
S(p)The set of sensors covering point p
U(Q)The set of grid points contained by sensor Q