4) Derive an expression for the x(t) and Determine the Fourier transform of the signal x(t) shown in Figure 4. 1 -2 -1 Figure 4

Q: 7.1.1. Find the Fourier transform of the following functions: (a) e−(x+4)², (b) e¯\x+¹, x, |x|<1,…

A:

Q: 3.15 - Find the inverser Laplace transform of the following functions: 5e-2s d. G(s) = (s+1)(s²+s+1)

A:

Q: Find the time-domain periodic signal corresponding to the following Fourier transform…

A: To find- Find the time-domain periodic signal corresponding to the following Fourier transform…

Q: (v) The Fourier transform of ei2t e-3|t| is 9+(w-2)²

A:

Q: (a) Express the graph in Figure Q3(a) in terms of a unit step function and then find the Laplace…

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Q: 1 The Fourier transform of [e 2 x(t + )] is jt 1 jn( f- X(f)e#ft X(f – e"(s-±) 4 t A. O . A.…

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Q: (d) Determine the Fourier Transform for x(t) in Figure 4(d) using integral. x(1) 2 1 5 Figure 4(d)

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Q: Find the Laplace transform of tet-1u(t-1)

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Q: Find the Fourier transform of the given function. (a) f(x) = A(2x + 1). A(2x − 1)

A: As per the question we are given the function f(x) as : f(x) = Λ(2x+1) • Λ(2x-1) And we have to find…

Q: Question: 1. Determine the Fourier transform of the signal: f(t) = e4+J5t .cos(2t)

A: The given signal: To find the Fourier transform of the signal: The formula of Fourier transform:…

Q: 4) Find the Fourier transform (FT) of the rectangular pulse signal x(t) analytically by using FT…

A: Find the Fourier transform (FT) of the rectangular pulse signal x(t) analytically by using FT pairs…

Q: 3. Find the Fourier transform of the following: f(t) = {te-t -1<t<0 elsewhere

A: We have to find the Fourier transform of the given function.

Q: compute the Fourier Transform of the signal given by the relation:  x(t) = [cos(2*pi*t) +…

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

Q: ) Determine the complex exponential Fourier transform for the following periodic signal shown. x(t)…

A: To find : Complex exponential Fourier transform for given signal

Q: find the Fourier transform of given signal x(t) = 1/(a²+t²)

A: Concept:

Q: Find the Fourier transform of 1 t<- 2 f(t) ={ 1 2 1/2

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Q: 4. Determine the Fourier transform of the given function: 1 (t) = {2t - t, 2t - 1, 0 < t < 1 0<t<2…

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Q: 5. The fourier transform of the function f(x)=eI, is 2 4- w? O b. 2 w? -4 4 С. w? - 4 Od. 4+w? 4.

A:

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: Question 1: Compute the Fourier transform follows: a) f (t) = -5?u(t)e-st +e=7t=

A: Given,                     f(t)=-1t-52u(t)e-5t+e-7t2Where u(t) is the unit step function.

Q: By using a suitable Fourier transform, the solution of 9u

A: In this question, we have to solve the wave equation by using Fourier transform. The wave equation…

Q: 15. The DI diagram to help solve the Fourier coefficient bn tsin given that %3D f(t) = f(t + 4) is:

A:

Q: Find the Fourier transform of the following signals using sine and cosine integral. x(t) 1 -1 -1 1…

A: Given function from the graph is: fx=x+1 Fourier transform of a function fx is:…

Q: 3. Find 4 {0 21 jucosudu } using the properties of Laplace transform.

A:

Q: (d) Show that the Fourier transform of a Gaussian is a Gaussian, and hence show that eik dk 2πδ(x).

A: The Dirac delta function is one of the most significant functions in mathematics. It is widely used…

Q: Find the Fourier transforms of below time domain signals. (6) 19(4) 2€ (b) イと -2

A: Note "As per our company guidelines we are supposed to answer ?️only first question. Kindly repost…

Q: Q4 Find the Fourier transform of the following signal x(t) defined by

A:

Q: Find the Fourier transform of -et +2 cos(t). (a) -27 8(w+ 1) (b) 2n 8(w + 1) (c) -27 8(w- 1) (d) 2n…

A: To solve this problem we use the following the results and formula:

Q: i need the answer quickly

A: Given as,

Q: Find the Laplace transform of f(t) shown in Fig. 3 0 1

A:

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: Suppose the Fourier transform F(w)=re-lwl, is known. Show that the inverse Fourier transform, viz.,…

A:

Q: Find the Laplace transform of the following signal which is periodic with period 20. 20 15 20 t -201

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Q: x(t) 2 -1 -1 1 -2

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Q: 4. Calculate Fourier transform : for a >0 r(t) = e-a'u(1)

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Q: 5. Find the Fourier Transform of the given signal and plot its frequency spectrum. x(t) = 2 e"u(-t)

A: The given signal is defined as x(t) = 2 e3t u(-t).The Fourier transform is defined by F(w) =…

Q: Find the Fourier transform of the given waveform. A1) -2 -1 1 0 1 2 (s)

A:

Q: Find the Fourier transform of the given waveform. f(t) -2 -1 1 0 1 2 (s)

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Q: 10. If it is known that the periodic function f(t) contains even harmonics only, which Fourier…

A: Let us consider a function f(x)  in the interval [-L,L] such that function is an even periodic…

Q: Find the exponential Fourier series of the triangular waveform shown in Figure. 1 x(1) 25 -2n -25

A: The Fourier series will not contain any constant and sine terms so the Fourier series will be:…

Q: Example 22.3. Find the Fourier transform of: f (x) = %3D 0 x|> 1 Hence evaluate C COS x - sin x -…

A: Fourier transform, of even function

Q: 5.19. Find the Fourier transform of the following signals: 1 (a) x(t) 1 where a > 0 2 (a - jt) (b)…

A: FIND: Fourier transforms

Q: 3- Find Laplace transform for function shown in the Fig. (2). Fig (2) k -k 1 1 4 1 6 t

A:

Q: (a) Show that the Fourier transform of the function ga(x) := f(ax), where a > 0 is a constant, is…

A: the Fourier transform of f(ax) as a function of the Fourier transform of f(x) is known as change of…

Q: Find the complex Fourier series coefficients for the signal x(t)= (sin(nwot))5

A:

Q: 3.2 Derive Laplace transforms of the input signals shown in Figs. E3.2 and E3.3 by summing component…

A: To calculate the Laplace transforms of the given functions as described by the graphs

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.