We define V i as the set of sensors present in quadrant i (i=0,…,3).
Model (1) has three equilibria in the positive quadrant: (i) E 0 = ( 0, 0 ) (total extinct) is a saddle point.
Thus, we define T i as the set of sensors of T geographically positioned in quadrant i.
Specifically, we define Q i (with 0≥i≤3) as the set of sensors positioned in quadrant i and selected for the connection assignment.
The total energy cost spent by the tests made by the sensors present in quadrant i is defined as, i.e., ∀(v i,v j )∈E D ∣v i ∈Q i and.
They will then work all the way to the edge of the quadrant – i.e. throughout the entire time-space.
The simulation employs the same scheme for all quadrant, i.e., by using QPSK modulation 2I1O (2 Tx and 1 Rx antenna) MB-OFDM UWB WBAN.
Let us sketch out a possible time scheduling for within-quadrant transmission, corresponding to the following gathering protocol: The data gathering starts at t 0 = 0, on the first row of the quadrant, i.e., the one comprising the FC.
The term "almost all" means that the set where the partial derivative does not exist has insignificant measure in the first quadrant, i.e. has a two-dimensional Lebesgue measure zero.
In both the fx-ft and fy-ft planes, we define motion energy,
In both the fx-ft and fy-ft planes, we define motion energy in quadrant i
