(A) A rectangular pulse x(t) of width t= 8 msec. and amplitude A=10 V is centered at the origin in the time domain: 1- Write the mathematical expression of the signal x(t). 2- How to find the spectrum of x(t) by using Fourier transform or Fourier Series? Justify your answer. 3- What is the name of the resulted spectrum, and what is the benefit of finding the spectrum in general?

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(A) A rectangular pulse x(t) of width t= 8 msec. and amplitude A=10 V is centered at the origin in the time domain:
1- Write the mathematical expression of the signal x(t).
2- How to find the spectrum of x(t) by using Fourier transform or Fourier Series? Justify your answer.
3- What is the name of the resulted spectrum, and what is the benefit of finding the spectrum in general?
(B) Find the inverse Laplace-transform of X(s) given below using partial fraction method.
s+ 2
s2 + 7s + 12
X(s)
Transcribed Image Text:(A) A rectangular pulse x(t) of width t= 8 msec. and amplitude A=10 V is centered at the origin in the time domain: 1- Write the mathematical expression of the signal x(t). 2- How to find the spectrum of x(t) by using Fourier transform or Fourier Series? Justify your answer. 3- What is the name of the resulted spectrum, and what is the benefit of finding the spectrum in general? (B) Find the inverse Laplace-transform of X(s) given below using partial fraction method. s+ 2 s2 + 7s + 12 X(s)
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