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

A: Z transform

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: 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: 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: a. Find Taylor Expansion of the following Functions about xo =0 b. Find Taylor Expansion of the…

A: Sol:- Taylor expansion about x0 = 0 Taylor series of function fx at a is defined…

Q: Find the Fourier expansion of f (x)=-x; – x<xST;

A:

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: (sin Lx) cos(Mx) (Note: M is a number in your ID number after the alphabet F or Sand M>0) a. Find ao…

A: a fx=x3sin2Lxcos3Mx where -1&lt;x&lt;1 M=1 So,  fx=x3sin2Lxcos3x To check function is even or odd…

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.…

A:

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

A:

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 (0<t) At) = a.

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

Q: Expend the given function in the Fourier series the given interval. x € [-n, 0) x € [0, 1] 0, f(æ) =…

A: Hi, thank you for the question. Since you have posted a question with multiple sub parts, as per our…

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: x(n) = n (n + 1) u(n)

A:

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

A:

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)

A:

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

A:

Q: (sin (Lx) a. Find a, and a, in the Fourier series of the function f(x): (Note: M is a number in your…

A:

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 integral formula for each of the following functions: f(x) = { x +1₁ |x | π.

A: Given: f(x)=x+1, x&lt;π0      , x&gt;πTo find: The Fourier transform of the given function."As per…

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

A:

Q: Find of f

A: Given fx=x ,x∈-π,π with  2π periodic extension on ℝ.

Q: )Find the complex exponential Fourier series coefficients of the following signal x(t) = 3…

A: Note that sin3θ=3sinθ-4sin3θ. Thus, 4sin3θ=3sinθ-sin3θ.

Q: Ex. 6. Show that f[S()] dx={(a* +b;) where a, & b are Fourier coefficients of Fourier series…

A: