Concept explainers
(a)
Find the Fourier transform of
(a)
Answer to Problem 24P
The Fourier transform of
Explanation of Solution
Given data:
Formula used:
Consider the general form of Fourier transform of
Calculation:
Apply Fourier transform to equation (1) as follows.
Substitute
Conclusion:
Thus, the Fourier transform of
(b)
Find the Fourier transform of
(b)
Answer to Problem 24P
The Fourier transform of
Explanation of Solution
Given data:
Calculation:
Apply Fourier transform to equation (2) as follows.
Substitute
Conclusion:
Thus, the Fourier transform of
(c)
Find the Fourier transform of
(c)
Answer to Problem 24P
The Fourier transform of
Explanation of Solution
Given data:
Calculation:
Apply Fourier transform to equation (3) as follows.
Substitute
Conclusion:
Thus, the Fourier transform of
(d)
Find the Fourier transform of
(d)
Answer to Problem 24P
The Fourier transform of
Explanation of Solution
Given data:
Calculation:
Apply Fourier transform to equation (4) as follows.
Simplify the equation as follows.
Substitute
Conclusion:
Thus, the Fourier transform of
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Chapter 18 Solutions
EBK FUNDAMENTALS OF ELECTRIC CIRCUITS
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- Find the Fourier transform of each of the following functions. In allof the functions, a is a positive real constant and −∞≤t≤∞. f(t)=Δ(t-t0).arrow_forwardx(t) 4 1 2 Which of the following is the Fourier transform of the sign x(t) given above ? one) X (w) = j je ju 2nd) X (w) j + 2 2 je-jw 3) X (w) 2 4) X (w) 2 je-jw 2 O 2nd one O 4 +13 +|3 +13 3.arrow_forwardFind the inverse transforms of the following functions: F₁(0) = 100 jo+100 F₂(0) = F3(0) = 500 (jo+100) (jo+500) 500 jo (jo+10) jo+100) Find the Fourier transforms fi(t) = 2u(t) - 2 f₂(t) = 2 sgn(t) - 2u(t) f3(t) = - sgn(t) - 1 f(t) = 10sin[2(t-5)] f(t) = 3ej4t sgn(t) 10,000 F₁(00) jo (jo+100)(jo+1000) F₂(0) = -10 0² jo (jo+20) (jo+40) of the following waveforms: fi(t) = ¹(e²te-1²t) + 10(e²t+e-2t) f₂(t) = ¹0(sin 5t)arrow_forward
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