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We introduce different types classified according to their unit impulse response: the finite and infinite unit impulse response filters (FIR and IIR, respectively).
The kernels of the system are understood as multidimensional unit impulse response functions.
Finally, the unit impulse responses are z -transformed to yield the coefficients of the transfer matrix.
The unit impulse is the total hammer impact energy transmitted into the CFRP concrete bonded structure.
which is obtained from Equation 13 by letting x t) = δ(t), a unit impulse.
Their unit impulse responses are hL(n) and hH(n) respectively.
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and is a train of unit impulses.
For the convenience of analysis and comparison, we consider two types of signals: (i) unit-step signal and (ii) unit-impulse signal as shown in the Figure 2.
The transfer function of the response of the biological pathway to unit-step and unit-impulse input signals are given by <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0001693.e023.PNG" class= inline-graphic"/> and Y(s) = inline-graphicely, where G(s) is the transfer function of the biological pathway.
For the convenience of comparison, we consider two types of signals: (i) unit-step signal and (ii) unit-impulse signal as shown in Figure 2. The transient response of dynamic systems can be studied by transfer function that is used to characterize the input-output relationships of a linear, time-invariant, differential equation system.
Let (n>0) be an integer and assume that the quantity of food increases by λ unit each impulse effect, while the population of the species decreases by jumps only at the moments of the impulse effect (tau_{k}) whose ordinal number k is a multiple of n.
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