(a) Figure 1 shows a signal x(1). A) 2 -2 -1 Figure 1 i. Write the equation for flt) in terms of rectangular function. ii. Determine the Fourier transform of At) based on the answer in QI(a)(i). iii. Usually, a Fourier transform can be obtained using different properties. Using differentiation property, find the Fourier transform of f(t). (b) Determine the Fourier transform of g(t) = 9sinc²(4t). What property/properties involved? (c) An LTI system generates the output y(t) = (e-2t – e-3t)u(t) in response to the input x(t) = e=2'u(t). Determine the unit impulse response h(t) of the system.
(a) Figure 1 shows a signal x(1). A) 2 -2 -1 Figure 1 i. Write the equation for flt) in terms of rectangular function. ii. Determine the Fourier transform of At) based on the answer in QI(a)(i). iii. Usually, a Fourier transform can be obtained using different properties. Using differentiation property, find the Fourier transform of f(t). (b) Determine the Fourier transform of g(t) = 9sinc²(4t). What property/properties involved? (c) An LTI system generates the output y(t) = (e-2t – e-3t)u(t) in response to the input x(t) = e=2'u(t). Determine the unit impulse response h(t) of the system.
Introductory Circuit Analysis (13th Edition)
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Question
![(a) Figure 1 shows a signal x(t).
At)
2
-2
Figure 1
i. Write the equation for f(t) in terms of rectangular function.
ii.
Determine the Fourier transform of ft) based on the answer in Q1(a)(i).
Usually, a Fourier transform can be obtained using different properties. Using
differentiation property, find the Fourier transform of flt).
(b) Determine the Fourier transform of g(t) = 9sinc²(4t). What property/properties
involved?
(c) An LTI system generates the output y(t) = (e-2t – e-3t)u(t) in response to the input
x(t) = e-2ªu(t). Determine the unit impulse response h(1) of the system.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fccb05c12-4866-4200-8745-300a2609ee90%2Fccedd381-cb26-439e-8f8f-b9bf19f68793%2Fjpqjflr_processed.png&w=3840&q=75)
Transcribed Image Text:(a) Figure 1 shows a signal x(t).
At)
2
-2
Figure 1
i. Write the equation for f(t) in terms of rectangular function.
ii.
Determine the Fourier transform of ft) based on the answer in Q1(a)(i).
Usually, a Fourier transform can be obtained using different properties. Using
differentiation property, find the Fourier transform of flt).
(b) Determine the Fourier transform of g(t) = 9sinc²(4t). What property/properties
involved?
(c) An LTI system generates the output y(t) = (e-2t – e-3t)u(t) in response to the input
x(t) = e-2ªu(t). Determine the unit impulse response h(1) of the system.
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