The Z-Transform of x (n) = e-3(n-4) cos(0.17 (n-4))u (n- 4) Where u(n-4) = 1 for n 24 while u(n-4) = 0 for n < 4 %3D (z - 0.0474) X (z) %3D z2 – 0.0948z+ 0.0025 X (z) = z – z (n – 4) 3 22 – 0.1z X (z) = %3D z3 – 2z2 + 0.0025 -

Q: 3. The Fourier series of f(x) = x , 0<x< 2n is given by sin(nx) n-2 Determine the sum of sin(nx) for…

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Q: -(x)) %3D 6. (X)f 1-T, て 21 3L Sheet No,2 (c) Fourier series %3D 2. Expand the given function in an…

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Q: 23// Expand f (x) = –x – n , -n<x< 0 in a half range sine series and Find its Fourier series

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Q: b)If (x) = f(x+2n), find the Fourier series expansion of (0, -n SxS0 x, 0 SxSn f(x) = %3D

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Q: 4. Find the Fourier series representation of the function: -1<1<0 (t) = {-. *-1, 0<1<<1 which is…

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Q: 1. Find the Fourier series for the function T -x f(x)=| in 0SxS 2n with period 2n. 2

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Q: Q3- Find the Complex Fourier series for: * x(t) 디 -7 -6 -4 2 3 8 9 time -2

A: The signal graph is as follows: To find the Complex Fourier Series of this signal.

Q: 4) Obtain the Fourier series expansion of the periodic function defined by f(t) = t³ + 3t for…

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Q: If f(x) is an even function on [-pi, pi], then the Fourier series of f is of of the form

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Q: 25: Using a suitable Fourier- Series expansion for 0 S x ST: A) Show that: x(n -x) (cos 2x cos 4x .…

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Q: - n <x <0 Let f(x) = {;", If a, = 0 Find the Fourier series of f(x) A) F, =+E-1 [1-(-1)"] sin(nx) +…

A: Ans : option (A) correct

Q: Given: f(x) = 5sinx for -2pi x<-pi/2 = 4 for x=-pi/2 =x^2 for -pi/2 <x <2 =8cosx for 2<x<pi -4x for…

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Q: Given: f(x) = 5sinx for -2pi <x<-pi/2 = 4 for x=-pi/2 =x^2 for -pi/2 <x < 2 =8cosx for 2<x< pi =4x…

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Q: 2: Find the Fourier series of the function for n >t >0 for 2n > t > n 2 f(t) = { , } -2

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Q: Given: f(x) = 5sinx for -2pi <x<-pi/2 = 4 for x=-pi/2 =x^2 for -pi/2 < x< 2 =8cosx for 2<x< pi =4x…

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Q: 1. Find The Fourier series for the function defined by 0 < x < 4 } -4 < x< 0S f(x) = {* -

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Q: Q2 (a) Explain the difference between even and odd Fourier series function. (b) Find the Fourier…

A: Fourier series

Q: (b) Obtain the Fourier series expansion of the function -n <x< 0 0 <x<n f(x) = {*x, (6) Find the…

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Q: find the fourier series of f(x)=[pi-x/2]^2, <-x<-2pi   hence deduce that…

A: Given that f(x)=π-x22,0≤x≤2π. To fourier series of any function is given by,…

Q: 1. Find the Fourier series of the function S -x if -4 <x<0 (x) (x + 8) = f(x) if 0 <x<4

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Q: A. Find the Fourier series expansion for: f(x) = x +- -n SxS T 4

A: We will expand as shown below

Q: find Fourier series on [0,2n] オーズ 0<x<T (12) f(x) = Tくx<2元

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Q: Determine the Fourier series for the periodic function f( 0 ) of period 2 n -T<0<0 f(e) = , sine…

A: There is no correct option of first six option, if there is another option then ok.

Q: ) Find Fourier series of the periodic (T = 2T) function f(x) = x² ,- n < x < n

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Q: -k, -2 < x <0] f) = <xく2」 0 < x < 2 ]

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Q: 5. Determine the trigonometric Fourier series expansion of the given signal below. x(t) A -2 2 0

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Q: The Z-Transform of x (n) = e -3(n-4) cos(0.17 (n- 4))u (n- 4) Where u(n-4) = 1 for n 24 while u(n-4)…

A: So we have to calculate the Z-transform of the function x(n)

Q: Obtain Fourier Series expansion for the periodic function with period 2π   f(t)= {2    -π < t <0…

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Q: 1. Find the Fourier series representation of f(x) = { x ² 0, -π< x≤ 0 0<x< T X, **Box your answers…

A: According to guidelines we can solve only one problem.

Q: Find the Fourier series representation of the periodic function below          f(x) = ax2 + b  if…

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Q: 1. Find the Fourier Series of the function: (0, ´0, -T < x < 0 f(x) 0 <x< T

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Q: 0 (-2<1<0) f(t) = li (0<1<2) a.

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Q: Find the Fourier series of the periodic function f(t) of period 2 n 0 -7<t<- f(t) ={ 4 -<t< ! <t<n 2…

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Q: Compute the Fourier sine series of S 1, 0<x < 1, ={2, 1sx<2, 2, 1<x < 2, on [0, 2]. Sketch both the…

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Q: 2. Find the Fourier series of f(x) = x² (-1<x<1), p=2.

A: Fourier series expansion is the method of representing a periodic function as an infinite sum of…

Q: Compute the Fourier sine coefficients for f(x). • bn = (-4/(n^2pi^2))(3pincos(3pin/4)-4sin(3pin/4))…

A: Given function is f(x)=x   for 0≤x≤60   for 0≤x≤8 hence Fourier sine series is ∑n=0∞bnsinnπx8 and…

Q: 5. Find the half range cosine Fourier Series for the function.. X OCX < Z ..£.(x)..= TT-X <x<T -ans:…

A: Given

Q: Q) fınd Fourier series on [0,27] (1) ƒ(x)=r- x (2) ƒ(x)=sinx (3) ƒ(x)=cos x (4) ƒ(x)=xsin x (5)…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 1. Determine the Fourier Series representation of the periodic signal whose period is defined by 3,…

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Q: Find the Fourier series of f(x) = V1- cos x in the interval (0, 2n). Hence, 1 1 deduce that Σ -- 2…

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Q: Obtain the Fourier series expansion for the function of period 2π as follows f(t)=2-t/π,   -π<x<π.

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Q: Given (cos3x)^2 = 0.5(cos6x+1). The above identity is actually the Fourier series of (cos3x)^2x true…

A: Given that, cos23x=0.5cos6x+1

Q: The Fourier series to represent the function f(x)=2x in the range - T to + is 1 2x = 4 sin c,x - sin…

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Q: {: (z) -T <I<0

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Q: 1. Find The Fourier series for the function defined by 0 <x < 41 -4 < x < 0J f(x) = {* – 2

A: The objective is to find the Fourier series of the function defined by fx=x-20&lt;x≤40-4≤x≤0

Q: 4 What is the value at x = 4 of the Fourier series for the function defined by 2 0<x< 2 2<x < 4 4 <…

A: We have to find the Fourier series for the given function at x=4

Q: If f(x) is an even function on [-pi, pi], then the Fourier series of f is of of the form +E a,…

A: Using the property of Fourier series for even function.

Q: 4. From the Fourier-Legendre expansion S, f(x)Pn(x) dx = Em=0 Am S, Pm(x)Pn dx, all terms will…

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Q: 3. Find the Fourier series of, ーπ<x<-Ⅱ/2 – 1/2 < x <n/2 Tt/2 < x <t f(x) = }0 - 1

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