• X(z) (1-z-1)3 X(z) =(1 – e-bt) (where b is a constant)

Q: 1 (b) Find Fourier cosine transform of f(x)=< -1 <x< 0<x</

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Q: Q4 a) 0, if x 0 1,0 < x < 1 x ≥ 1 b) Evaluate Fourier sine transform of f(x) = {¹,0

A: (a) We have to evaluate Fourier integral representation of the given function. f(x)=0if x&lt;012if…

Q: Evaluate the Inverse Laplace Transform: F(8) = s-2 – (s-2 +s-1)e- %3D

A: The given function is                        F(s)=s-2-s-2+s-1e-s To find the inverse Laplace…

Q: laplace transform of F(x+1)(x+2)

A: The given function is Fx+1x+2. The following properties of Laplace transforms are used in solving…

Q: 5. Compute the inverse z-transform of X(z)=log(1+z),z|<1.

A: Given: To explain the given statement as follows, To calculate Z transform, .

Q: A1: Find the Fourier transform, defined by F(k) = f(x)ek* dx, of the function x+1 -2 <x < -1 f(x) ={…

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Q: 2w Inverse fourier transform of is w²+9 Select one:

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Q: Q3/ Find Fourier cosine transform of the function f (x) = 2x ,0 < x < 4

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Q: HW: Find the z transform for sin (ak):

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Q: Q4 /A) Find the inverse Fourier Transform off(w) = e-lwly %3D

A: According to guidelines we should have been able to solve only first one question at a time

Q: Find L-1 (3) 5s-6 s2 –3s

A: We have to find inverse LAPLACE TRANSFORM of given function.

Q: x) = {0 ² ². 0, Determine the Fourier transform of the function: f(x) 0<*? x<0

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Q: B) \ find inverse z transform by long division X(2) =:

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Q: z'+3z Find the inverse Z- transform of (z-1)°(z² +1)

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Q: Suppose that you manage to compute the Fourier transform of f(r) = (Don't try this; it is really…

A: Note:- In part (1), if condition A(-k)=A(k)  is used for f(x) then solution is here. But, in case…

Q: Compute the Fourier transform of the following function: f(x) = e-a(r-x0)²+iqx (5) where a > 0 and q…

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Q: 6. Evaluate the inverse z-transform of x(z)= 2z-1 (1-2z-¹)²

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Q: The Fourier transform of some function g(x) is equal to e-k*a*. I'm not going to tell you what g is.…

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Q: (0, 0 b asxsy

A: Fourier Transform

Q: 3. a) Find the Fourier transform of g(x) given that g(x) = 3e¬4|x+2| b) Using the formulas for…

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Q: Q/ Find the inverse z-transform of the following theoretically and practically 2z+1 F(z)=…

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Q: Determine the transform of the following functions using any methods . e^3t sinh 3t

A: Given function is e3t sinh3t

Q: Q4/ Use odd and even function properties to find Fourier Transform for the following function as in…

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Q: Q1-B) suppose x(t) has Fourier transform X(w) = e-@ find Determine transforms of x(2t) and x(t + 1)

A: Fourier transform using properties.

Q: 5s-1 JA function has a Laplace transform of F(s) : If this function is %3D s²-1 multiplied by e',…

A: The given Laplace transform is Fs=5s-1s2-1, if this function is multiplied by et. Calculate the new…

Q: 7. a) Find the Fourier transform of the function y = e-al=| (a > 0). b) Find the Fourier transform…

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Q: The z-transform of x[n] = u[-n]

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Q: Q4: Find the inverse Fourier transform of the spectrum: - 2 < w <-1 1sw S 2 0.W X(@) :

A: Inverse Fourier transform of the function

Q: for |x|< a 0 for x<a Q4. Determine the Fourier transform of f(x) =

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Q: Q2. A. Find the Z transform of : k 1. x(k) = ()" k = 1,5,9,13,.. ...... 2. x(k) = (2)*sin-k B. Find…

A: Q2 A 1.x(k)=14k   k=1,5,9,13,...  Z transform of x(k)=∑k=0∞14k z-k    for k=1,5,9,13,...=141 z-1+145…

Q: (b) Find the Fourier-sine transform (assume k ≥0) for 1 f(x) = x + x³

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Q: x2, Ixl a

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Q: Inverting a Fourier Transform turns it to inverse Fourier Transform of (w) eiwx dw 00 f(x) =…

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Q: B) \ find inverse z transform by long division X(2) = 1-az-1

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Q: N (z−2)²

A: Follow the steps.

Q: Find the Fourier series of the function f(x)(1 in the (Function-1)below. 2) Find the inverse Fourier…

A: Fourier series : A series of the form f(x) =a02+∑n=1∞ancosnx+bnsinnx is fourier series of the…

Q: x² 5 Find f(a) if f(x)=- by Fourier transform method |* >1

A: Given :               f(x) = 1 - x2  , x ≤ 10            , x &gt; 1  To find : f(α)…

Q: Suppose that you manage to compute the Fourier transform of f(x) I+25. (Don't try this; it is really…

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Q: -i (a) Evaluate the discrete Fourier transform of () i (b) Evaluate the inverse transform of -i

A: The discrete Fourier transformation can be obtained by multiplying the 4×4 DFT matrix by the given…

Q: 1. Find the Fourier transform of the following functions, and verify your results by com- puting the…

A: Use the properties of Fourier transform to determine it. Apply the properties and simplify to get…

Q: What is the inverse-transform of the z-transform function F(z) = z/(z - 5)? A) 5^k в) е^-5k 2^k D)…

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Q: Find inverse z transform (2z+ 1)(z – 1)

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Q: -3 |x| The fourier transform of the function f(x)=eH is

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Q: (1 – x², \x| 1 Find the Fourier transform of the function f (x) :

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Q: find the inverse z-transform * X(z) =- (z-1)(z +0.4z -0.32)

A: Given that, X(z)=z2(z-1)(z2+0.4z-0.32) This can be written as,…