(1) Assume the pulse set (ln h le u^ = frac{ad}{c + bd}), namely (v_{1} > v^ = frac{a}{c + bd}), like Figure 2. Figure 2 When (pmb{ln h < frac{ad}{c + bd}}), there is a periodic solution of order one in the diagram.
On the other hand, methods that assume the large pulses to be representative for a sustained eruption would result in an overestimation.
Assume that the pulse set M and the phase set N are both straight lines, as shown in Figure 1.
Without loss of generality, we assume that the pulse shaping filter u[n] is a halfroot Nyquist filter of cut-off frequency equal to the symbol rate.
We assume that the pulse length is 6 T, the sampling interval is T and (nu) is equal to 3. The product ({x_{i - j}} cdot x_j^*) is called the lagged product.
To reach aim, it is assumed that the pulse repeated frequency (PRF) is matched to the platform velocity and the distance between the three receive sub-aperture phase centers.
In these epidemic models with state-dependent pulse control strategies, it is usually assumed that the pulse vaccination rate p of the susceptibles and the pulse treatment rate q of the infectives are constants, which implies that the medical resources such as drugs, vaccines, hospital beds are very sufficient for infectious disease.
Assume the intersection point between the pulse set lnh and the line (frac{du}{dt} = a - bu - cv = 0) is D, the coordinate of D is solved by the following equation set: left { textstylebegin{array}{l} u = ln h, a - bu - cv = 0. end{array}displaystyle right.
2 We assume the energy of both transceiver pulses g(t) and γ(t) are normalized to one.
Assume M is the pulse set, N is the phase set, and M and N are both straight lines, as shown in Figure 1.
