Which of the following systems or sequences have a Fourier transform? a. x[n] = (1.1)"u[-n] b. c. x[n] = u[n] n + (1) ²4 u[n − 2] h[n] = 8[n] +

Q: What is the Fourier transform of the function 4 cos(5t) on the interval [-x, a]| Select one: O a. 4…

A: Here we have to find the Fourier transformation of the function x(t) = 4 cos (5t) Using the formula:…

Q: . Find the Z transform of : x(k) = (2)*sin,k

A: Z transform

Q: Which of the following cannot be the Fourier series expansion of a periodic signals? Select one: OA.…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: For each signal below, compute its exponential Fourier series. (а) 8 4 12 8 (a) (b) -12 8 8 12

A: a) From the given figure, the periodic waveform shown in fig with a period T= 8 can be expressed as

Q: Find the inverse transform of Z (z-8)(z-3) Write your answer as the general term of a series in…

A: Given: Fz=zz-8z-3To find: The inverse z-transform, xk.

Q: Find the Fourier transform of 4x if 121 <a f(x) - o if 1x129

A: To find the Fourier transform of the function  fx=4x,  if x&lt;a0,    if x&gt;a

Q: 3. Determine the fourier series that represents the function as follows; T = 8, A, = 0 (Symmetrical)…

A: Given T=8, A0=0Yt=-1-4 to 0Yt=10 to 4

Q: Obtain the 1st three non-zero terms of the Fourier expansion for the following function, f(x)…

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Q: Find the Fourier series of f (t) = t³ where t e [-4,4] and f(t + 8) = f(t).

A: Given function, f(t) = t3 where t∈-4,4 we have f(-t) = (-t)3 = -t3 = -f(t)So f(t) is an odd…

Q: Find the Fourier Cosine Series of f(x) = 4x²; 0 < x < 1

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Q: Find the Fourier series extension of the 2r-periodie of f(x) = x²₁ x = [-x, x [! E

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Q: Let ã[n] be a periodic sequence with period N = 10. The Fourier Transform of [n] is given by r=00…

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Q: 1. Given the function: f(x) = x + n, -n < x < n a. Plot the graph de -4n <x < 4n b. Find the Fourier…

A: Given that fx=x+π,−π&lt;x&lt;π To plot the graph over the interval -4π&lt;x&lt;π. To calculate the…

Q: The z-transform of a unit, u(n) function 1/(1-z1) b. c. 1/(1+z1) d. Σαz1 а.

A: We find Z transform of unit step function.

Q: : Determine the z-transform of the following; 6. x(n) = n (n + 1) u(n)

A: To determine Z transformation of xn=nn+1un Now, xn can be re-written as xn=nn+1un=n2un+nun It is…

Q: The z-transform of x(n) is X(z) = 1 + 2z1, /z/# 0. Find the z-transform of the following sequences.…

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Q: a) Expand the given function in a Fourier series in the range of [ -47,4π] f(x)=1 10<x<π sin(x)<x<2n

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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.

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Q: Find the coefficients of the trigonometric, symmetric interval Fourier Series for the function:…

A: f(x) is periodic woth period 2π, piecewise continuous and integrable in [−π,π].The Fourier series of…

Q: 1.)Determine S[f] (Fourier series) if: d) f(x)=ex+x ,x∈ [-1, 1] such that f(x) = f(x + 2)

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Q: Consider a periodic continous time function x(t), where x(t) = 1 + cos(2nt) [sin 10nt + Which of the…

A: Given,Periodic function : x(t)=1+cos(2πt)sin10πt+π6To find: Fourier series coefficient a0

Q: If you have a sequence x[n] with the following Fourier Transform: X(elu) = 4cos(3w) then the Fourier…

A: Given that, xejw=4cos3w From the properties of discrete sine fourier transform,…

Q: What is the fourier series fox. 2t+1, if o<t<T t², if -π≤t so for the following function

A: We have to find the Fourier series of .Note: In the problem is given, it should be

Q: 1. Determine the Fourier series of the following 17 (1|5) fle) = lo d>5) a. 15 (-7sts7) o otherwise…

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Q: 1. Determine the Fourier series of the following (0<t) At) = a.

A: To solve given question first we use the Fourier series formula and then solve.

Q: a. Find Fourier transform for the following function l(x): -1 15 |(x) = {". (Hint: \r| =r for r> 0,…

A: The given function is  l(x)=1 if -1&lt;x&lt;10  if |x|&gt;1 We know that the Fourier transform of a…

Q: ts] Transform the following to principal аxes: а. 5xỉ + 2x1x2 + 5x3 = 10

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Q: 1. Obtain Fourier series for the function f(x) given by 3x 1+ 1 1 1 + 32 5? f(x) = Hence deduce…

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Q: * The answer is - SXS0 2 What is the value of () for Fourier Series of the funetion f (x) {: e) 2 a)…

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Q: 1. Find the Fourier Series of the function. f(t)= t² on [-n, π]

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Q: Determine the Fourier series of the following a. f(t)=t3 (-A<t<x), f(t)=f(t+2x)

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Q: a. Using MATLAB, find the fourier series of [t(n²-t²)]/12 - π <t<π

A: a) [t(?^2-t^2)]/12     -?&lt;t&lt;? Here is a MATLAB code to find the Fourier series of the function…

Q: Find the complex form of the Fourier series f(x)=e*, -1<x<1 Ans. E

A: As per the question we are given a piecewise defined function as : f(x) = e-x  for  -1 ≤ x ≤ 1 Now…

Q: Assume you are provided with the following Fourier Coefficients for a function on the interval of…

A: The Fourier series of the function f(t) on the given interval ison the interval  to write the…

Q: Find the following Z-Transform x₁ [n] = (0.8)" •

A: note :  Since you have posted multiple questions, we will provide the solution only to the first…

Q: f(t) = -1 1 si 0<t<n si - π< t < 0

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Q: Discrete Fourier Transform (DFT) of x[n]=(0.9)" for 0<n<3. → X pET[k] = {2,3j,4,–3 j}using the…

A: Sol

Q: 3. Find the Fourier series of the following function...... Ft. <- < At + sin(n). Cos.nt...…

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Q: The z-transform of x(n) is X(z) = 1 + 2z¹, /z/# 0. Find the z-transform of the following sequences.…

A: The z-transform of x(n) is X(z)=1+2z-1, |z|≠0. The given sequences are:…

Q: 1. Find the Fourier series expansion up to n = 5 of the given periodic function: f(t) 1 2n 3 3 2.

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