2.5-2. Find the z-transform, in closed form, of the number sequence generated by sampling the time function e(t) every T seconds beginning at i = 0. The function e(t) is specified by its Laplace transform, 2(1-e-5: E(s) = s(5+2) T = 1s
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The given function is specified by its Laplace transform given as:
The above function can be represented in the time domain using the delay property as shown below:
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- Derive the Laplace transform for the full-rectified waveform fFR (t) in figure 2 belowa) Based on your understanding, describe the use of Laplace-transform and z-transform in linear time invariant analysis.b) Find Laplace transform and sketch the associated ROC of following function,i. ?(?)=(?+1)?−??(?)ii. ?(?)=?−2?[?(?)−?(?−4)].c) Find z-transform and sketch the associated ROC of following function,i) ?[?]=(23)??[?]+(16)??[?]ii) ?[?]=?3??[?]The signal shown in Figure 3(b) is applied to the circuit shown in Figure 3(a) as the input voltage ??(?). Find the output voltage value ?0(?) in the circuit in Figure 3(a) using the Laplace transform?