The magnitude and phase spectra of a periodic signal x,(t) are as shown below: Phase (degrees) Magnitude 190 60 30 -1 f (Hz) 0 1 3 (Hz) 30 -60 -90 -3 -1 0 1 3 Determine the phase of the third hormonic (at f = 3 Hz) of periodic function: gp(t) = Xp (t - 1/6), i.e., the delayed version of Xp(t) by 1/6. Enter the numeric value of the phase in degrees in the answer box below

Q: (f) Let g(x) be another periodic function as shown below. Plot the frequency spectrum of the…

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Q: Compute the Fourier series coefficient a, of the following periodic function that has the period T =…

A: to compute the Fourier series coefficient an of the following periodic function that has the period…

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A: We need to draw the given signal and we will find Fourier series coefficient.

Q: Q1) Determine and sketch the double side spectrum, up to the third harmonic, of the continuous-time…

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Q: Write the mathematical expression of the periodic signal given below. Calculate and plot t Fourier…

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Q: A half-range periodic function f(x) is defined by { 0 < x < T, TT < x < 2n. T - x, f(x) 0, i. Sketch…

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Q: 6. Let x(t) be periodic with period T, = 6 and such that %3D 1, 1< |t| < 3; x(t) (-2, |t| < 1 (i)…

A: The time domain signals can be continuous or discrete. The time domain signals can be periodic as…

Q: A periodic signal (N = 4) is given by (only one period is shown) with x (n ) = 0. 1 0 %3D Find the…

A: Discrete Fourier series

Q: Determine the periodic signal f[n] given the following DTFS coefficients for one period: Ck =…

A: We need to find Function for given Fourier series coefficient.

Q: b. Consider the periodic triangular waveform, x(t) shown in Fig. 3. i. ii. iii. x(t) 20 0 T Fig. 3…

A: As per our guidelines we are supposed to be the first three questions only. Kindly repost the other…

Q: For the continuous periodic signal x (t) = 2 cos (2π / 3 t) +4 sin (5π / 3 t) Determine the…

A: Fourier series

Q: A periodic signal is expressed as f(t) = 4 + 2 cos (t + 15°) - 0.5 cos (3t + 20°) +0.25 sin (5t +…

A: Polar form of Fourier series

Q: Problem 3 Given the periodic waveform shown below, determine its Fourier transform f(1) 5 t(s) 7 -2…

A: The periodic waveform is shown below,

Q: Q4: For the periodic signal shown below, evaluate the autocorrelation value at the following shift…

A: Cross correlation gives the similarity of two signals with displacement of one signal with respect…

Q: Consider a continuous time periodic signal x(t) with fundamental period 8 and Fourier series…

A: Given Fundamental period T =8 Fourier series coefficients are

Q: A discrete-time periodic sequence is defined as, ...2, -1, 2, -1, 2, -1,... Select the following…

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Q: For the continuous-time periodic signal x(t) = 2+ cos t) + 4 sin (t) %3D determine the fundamental…

A: The given periodic signal: x(t)=2+cos 2π3t+4 sin 5π3t The time period of the signal for cos2π3t:…

Q: Q1/Obtain the Fourier Transform to the rectangular pulse of duration 2 second and having a magnitude…

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Q: b) Another periodic waveform is defined by St 0st< 9(t) = T. with g(t+ mT) (i) g(t) and m is an…

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Q: A periodic function f(t), with a period of 2n, is represented as its Fourier series, f (t) = a,…

A: The function is given as:

Q: Problem 3 Given the periodic waveform shown below, determine its Fourier transform f(1) -3 t (s) 2 3…

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Q: Find the Fourier series for the periodic function giving below: -1, -I <t<-T/2 x(t) 0, -/2 <t< n/2…

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Q: Question 1 Let f(r) be the 27-periodic function defined by x € [0, 7) -x- 2 rE (-7, 0). 1+1 f(x) =…

A: Given:  Let f(x) be the 2π periodic function defined by: fx=1+x,     x∈[0,π)-x-2,  x∈[-π,0) To find:…

Q: Consider a continuous time periodic signal x(t) with fundamental period 8 and Fourier series…

A: Given Fourier series coefficients are - a1=a-1*=ja5=a-5=2 Other Fourier series coefficients are…

Q: Q1)Given the signal defined as below -1st <0 0 st <1 O elsewhere t+1 x(t) = {1 a) Find the total…

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other questions…

Q: 2. In the circuit shown below, the periodic voltage source vs(t) is given by: 16 * 1 NT + 2 NT -1 NT…

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Q: m(t) 0.5 1.5 -1.5 -1 -0.5 -3 The power of the periodic signal m(t) shown in the figure :above is

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Q: Given the periodic function of period T = 2n F(1) = { - T <t< 0 0 <t<T Draw the graph of f(t) valid…

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Q: A half-range periodic function f(x) is defined by { 0 < x < T, T < I < 27. f(x) %3D 0, i. Sketch the…

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Q: Be able to calculate the trigonometric form of the Fourier coefficients for a periodic waveform…

A: The expression fo the wave is given as  f(t)=Vm  0≤t≤2T3Vm3   2T3≤t≤T The value of the Fourier…

Q: The signal x(t) is real and periodic with period 6, and the complex exponential Fourier coefficients…

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Q: Problem 5. (C04) Compute the convolution z(t) = x1(t) * *2(t), where r and y are defined as shown…

A: According to the question, we need to find the convolution of the signal x1(t) and x2(t).

Q: The Fourier series coefficient for the periodic signal x(t) = sin?t %3D A. 8lk – 1] +8[k] +78[k+ 1]…

A: In the Given expression Find the coefficient of the Fourier series.

Q: A half-range periodic function f(x) is defined by {" *- r, 0, 0 < x < 7, * <x< 2n. f(1) = %3D i.…

A: A half range periodic function is one that is defined just in half of the range (i.e., 0 to L)…

Q: (b) A periodic function is defined by f(t) = 2t, 0 <t<1 with T = 1. (i) Sketch the function f (t)…

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Q: An alternating voltage is given by v=100 sin(50πt −0.30)V. Which of the following statements is…

A: In this question we need to choose a correct option.

Q: "A square waveform which is representing an even periodic function is expressed as follows: f(t) =…

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Q: A continuous-time periodic signal is given by the following equation x(t) = 3 cos s(t) + 4 sin(3rt)…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Write the mathematical expression of the periodic signal given below. Calculate and plot the Fourier…

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Q: Sketch the double-side spectrum of the periodic signal, x(t), which is depicted below a(t) -等 5元 t 2…

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Q: A continuous time periodic signal x(t) = cos w,t is multiplied with a rectangular window r(t) to…

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Q: .For the periodic signal shown in the figure below, determine the average power 0.1 0.2 0.3 0.4 0.5…

A: The average power is calculated for periodic signals. The Average power of a signal x(t) is given by…

Q: A discrete-time periodic signal x[n] has a fundamental period of N: N-1, n=0, 1, 2, …, N-1.…

A: Discrete-Time Fourier Series is given as-

Q: Q3. Find the Fourier Series for the following periodic function: x, - n/2 < x <n/2 1/2 < x < 3n/2 'x…

A: We will use Fourier series coefficient formula.

Q: The periodic signal X(t) is shown ih thế föl repeated every 4 seconds. ing figure. It is a…

A: We need to represent the given waveform and we need to find Fourier transform of given signal

Q: 5. A periodic function f(x) is defined by f(x) = { S 1, -1 <x < 0 x, 0 <x < 1, S(x) = f(x+2) (a)…

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Q: 1. Calculate the F.S. using the trigonometric forms for the following periodic signal: f€) = {".

A: Note:  We are authorized to answer one question at a time, since you have not mentioned which…

Q: n1 =1, n2 =2 2. Consider the following signal: 00 x(t) = sin( (n + 1)at) + ), P3(t – 4k). %3D k=-0…

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Fourier Transform

In mathematics, the Fourier transformation is a mathematical transformation that rotates responsibilities by using region or time into tasks depending on the local or temporal frequency, such as the rendering of a musical track in step with existing volumes and frequencies. The term Fourier amendment refers to each illustration of the frequency range and the mathematical functionality related to the representation of the frequency domain and the function of space or time.