Determine the Fourier transform of a signal with g(t) = At/B between t = 0 and t = B and g(t) = 0 elsewhere. Then find the Fourier transform of the following signal, which is a special case of the g(t): f(t) 1 0 1 t

Q: A function f (t) = e-at is defined for a > 0 andt > 0. By finding the Fourier transform show that…

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Q: Fourier transform of 2e³jt f(t) expressed as G(w)

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Q: 3. Find the Fourier transform of of 1/(1+t²).

A: Let  g(t)=e-at Then g^f=∫-∞∞e-ate-2πiftdt      =∫-∞0e-ate-2πiftdt + ∫0∞e-ate-2πiftdt…

Q: t, f(t) = 2t - 1, 0, 0 < t < 1 1 < t < 2 otherwise

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Q: F(z)=z tan:

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Find the Fourier transform specified in part (a) and then use it to answer parn (b). (a) Find the…

A: Given:  f(γ,p,t)=e-γtsinpt         t&gt;00                       t&lt;0we can write it…

Q: Compute the Fourier transform of the following function: f(x, y) = e-()x-y|+|x+y\)&

A: The given function is, fx,y=e-x-y+x+y The two dimensional Fourier transform is defined by,…

Q: Find the Fourier Transform of δ(t - 10) then solve for the following: Suppose r is a continuous…

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Q: V(t) A T/4 -T/4

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Q: Find the continuous time Fourier Transform of the following continuous time signal. Sketch the…

A: As per the question, we are given the graph of a piece-wise defined function x(t) which can be…

Q: Find the Fourier transform of each of the following signals and sketch the magnitude and phase as a…

A: Fourier transform of a signal is derived by using the formulae integral runs from -infinite to…

Q: Determine the Fourier transform of f(t) = te-2t u(t), where

A: Given ft = te-2tut where ut =0     t&lt;01    t&gt;0 The Fourier transformation is given by Fw…

Q: Derive an expression for the x(t) and Determine the Fourier transform of the signal x(t) shown in…

A: The Fourier transform of the function is represented as , it is defined as , where . Since the…

Q: If the Fourier transform of f(t) = is F(w), express the Fourier transform of g(t) = 2 0<t<1 0…

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Q: (a) Find the Laplace transform of the functions: f(t) = tsint+e-4+74³ +44.

A: Sol:- Ltsint+e-4t+7t3+44Use the linearity property of Laplace Transform:For functions ft, gt and…

Q: Could you explain to me how to find the inverse Fourier transform of the function __ (w+4)² 32 a.…

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Q: Look for the Fourier transform of the pulse waveform below. v(t), -T/2 0 T/2

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Q: If F(w) is the Fourier transform of f(t), then the Fourier transform of g(t)=4e³jt f(t) may be…

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Q: Compute the Fourier transform of the following signal: 1+4) x(t)=1−sin| t + 1. X 2- X (t)=e³u (t+2)

A: 1) Given that :    Then,          Where                                        [using dirac delta…

Q: Determine the magnitude of the Fourier transform of the function 7.5e-3t u(t) for a frequency of 3…

A: We have to Determine the magnitude of the Fourier transform of the function 7.5e^(3t )u(t) for a…

Q: 2+5( jw) (jw)' +3( jw)–10 a- F(w)=-

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Q: If F(w) is the Fourier transform of f(t), then the Fourier transform of g(t)=3e²jt f(t) may be…

A: If Fω is the Fourier transform of f(t), then using the linearity property, it can be written that…

Q: 5. Find the inverse Laplace transform of the function H(s) = as + b (s-a)² +32° a = 9,b= 10, a = 4,8…

A: We have to find the inverse Laplace transform of the function H(t)=as+b(s-α)2+β2 when a=9, b=10,…

Q: Find the Fourier transform of f(t) defined by: t < 0 t 20 f(t) = e-6t

A: We know that the Fourier transformation of a function fx is  fs=12π∫-∞∞eisxfxdx

Q: the Inverse Fourier Transform x(t) of each signal X(w) given below. X(w) = -4 sinc² X(w) = πd(w − 1)…

A: "Since you have posted multiple questions, we will provide the solution only to the specified sub…

Q: Determine the Fourier transform of the following signal: _(t+1) u(t+1) x (t) = è

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Q: The question involves finding the inverse Fourier Transform of the following functions:

A: see the attachment given below for details.Explanation:

Q: 2. Find the Fourier transform of f(t) defined by: -5. -T st<0 0<tST 0 Elsewhere f() = 5. where T is…

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Q: .2 TX e cos(x)

A: Given, fx=e-πx2cosx ∴ℱfx=f~p=12π∫-∞∞eipxfxdx⇒ℱe-πx2cosx=12π∫-∞∞eipxe-πx2cosxdx…

Q: Find the Fourier Transform of the following function f(t): f(t) 1 1.

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Q: 1. Compute the Fourier transform of the following signal: x(t) = e-3|t| sin(2t)u(t)

A: Hint: The convolution theorem of Fourier transform states that, the Fourier transform of the…

Q: ve an expression for the x(t) and Determine the Fourier transform of the signal x(t) shown in Figure…

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Q: Obtain the Fourier transform of the double pulse defined by f(t) ={ 1 ,1< or equal to x < or equal…

A: Fourier transform: The Fourier transform of function f is given by, F(ω) = ∫-∞∞f(t) e-ωjtdt. Given:…

Q: Sketch the following waveform f(t)=V₁ -t/2stst/2 = 0 otherwise and show that its Fourier transform…

A: The waveform is given as follows:.We need to find its Fourier transform.We know that the Fourier…