using mathematical definition of z transform derive  [rn sinw0n]u[n]    = [rsinw0]z-1 /1-[2rcoswn]z-1+r2 z-2     |z|>r

Q: Q4) Find Fourier transform of the functions: 1)f(x)= nxl, x π 3)f(x)=xe-x1, x ER 2)f(x) = 4)f(x) =…

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Q: Use the Laplace transform to solve the initial value problem y'" + y' – 2y = 2e*, y(0) - - 1, y'(0)…

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Q: A continuous-time signal is sampled 44,100 times per second, resulting in a sequence of values…

A: Introduction: The Z-transformation is a discrete type transformation with which we can transform a…

Q: Identify the inverse Laplace transform of the function Multiple Choice O(e+te+e-4¹) u(t) O O (½ e²¹…

A: 1)L-11s+a=e-at2) L-1F(s+a)=e-at.L-1F(s)

Q: f(x) = { ; ا 0 (01-) (...) mle -|

A: In this question, we have given a graph of f(x). To write the Fourier transform corresponding to the…

Q: Laplace transform of a continuous-time signal is given as 1 X(s) (s + 2) The RoC of the signal in…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: (a) Use finite Fourier transforms to solve (0 0) Pu Ər² subject to and Ju Ət² u = 1-I, du Ət = 0 at…

A: The given problem is to find the solution for the given partial differential equation with given…

Q: find the fourier series of  f(x)=x^2 on interval − 2< x < 2 and To show 1+ 1/2^2 +1/3^2…

A: According to the given information it is required to find the fourier series of f(x) = x2 on the…

Q: Solve the given differential equation by undetermined coefficients.

A: Given,              y''-2y'+2y=e2xcos(x)-4sin(x).

Q: The Laplace transform of L2 sin 6t sin 3t] is S - s + (3)² s2 + (9)2 S 2s + (9)* s2 + (9)² s² + (3)²…

A: Solution by using trigonometric identities and Laplace transform table as follows :

Q: 37nx Find C2{sin (*} (Finite Cosine transform) O A. 6L O B. 4L - 5TT OC. 2L - 5T O D. O E. None

A: Find C2sin3πxL

Q: Find the sequence x(k) if the Z-Transform of the sequence is given as 22 + z (2-2) (z-1) F(z) x{k} =…

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Q: 2) x = -3X,+ X2 ~12t X = - 4x+ 2X, + (2t X6)=o,メ2(o) =6 Xz(0) =6 こ0)

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Q: Please can you solve it fast 18) What are the 4-point Discrete Fourier Transform (DFT) coefficients…

A: The sequence of xn is given by , xn=δn+δn-2+δn-3 The 4 point of DFT of xn , Given that N=4 ,…

Q: QI/ Determine the z-transform with ROC of the following. * x(n) = n [u(n) * (0.2)" u(n – 4)] |

A: Given equation is x(n)=n[u(n)*(0.2)nu(n-4)]                   (1) Let the Z-transform of x(n) is…

Q: 00 f(x) =a0+ an cos n=1 is called 2 laplce transform aO Besseal polynomial ,O .b fourier series.cO…

A: The Fourier series of the function f(x) is given by. f(x)=a02+∞∑n=1{ancosnx+bnsinnx}, where the…

Q: The Wigner-Weyl transform is given by 1 W (r,p) 2nh a) Proof that V(2)* = / dp W (z.p).

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

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

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Q: 1 3-Find zeros and poles of x(z) : (1--)(1–2-2)

A: Zeroes and poles are properties of a transfer function. Poles and zeroes of a functions defines on…

Q: Handwritten fast Please.. 2) Use Cauchy Residue Theorem to calculate the inverse transforms a) F(s)=…

A: Please find attachment below.  I use formula for residue.

Q: Which of the following is not a property of Fourier Transform? O Frequency Integral O Modulation O…

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Q: Determine the convolution of the following signals using z-transform: x,(n)=(¦;}'u(n-1),…

A: Given x1(n)=14nu(n-1), x2(n)=1+12nu(n)

Q: find z- -4 * transform for x (n) = { 2 1 2 3} x(2) = 22 + z' + 2 + 3z x(2) = 2 + z+ 2-2+ 3z %3D خيار…

A: Let's find.