H.W: Calculate the Fourier series for the waveform -16 at n = odd Ans. ao n² π² 1 & an= 0 at n= even = -2π-π ↑f(0) 2π TL

Q: using fourier series fur the function 2X Conclade that S(2n=1)-= so b) T 6. C) T? 8.

A: Your expression of series is typing mistake, it should be 1/(2n-1)².

Q: 0, -4<t<0 v(t) = %3D 10, 0<t<4 and has a period of 8 ms.

A: Given that v(t)=0-4&lt;t&lt;0100&lt;t&lt;4  The objective is to find the fourier series of v(t). The…

Q: 21: Write an expression for the periodic function f (t) in terms of the complex exponential Fourier…

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Q: Answer f(x) = 1-2e-3iz, x € [-67,67] p = 67, C₂ = 0 if n 0,-18 co = 1 c-18 = -2.

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Q: 3. Obtain complex exponential Fourier series expansions for the following signals To To x(1) = At₂ -…

A: Since there are two problems, find the solution of (a) and for (b) interval is not given.

Q: Q2) Find and sketch the trigonometric Fourier series corresponding to the saw tooth signal as shown…

A: As per the question we are given the graph of a periodic saw-tooth signal and we have to find its…

Q: The Fourier series for the Odd Square Wave with period T and amplitude A is: fosd square() = A · Eo…

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Q: Why are there different Fourier series equations? I don't quite understand what the difference…

A: an=2T∫0Tf(t)cos 2πnTtdt a0=1T∫-T/2T/2f(t)dt an=2T∫-T/2T/2f(t)cos 2πnTtdt The only difference between…

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: Q4: The voltage from a square wave generator is of the form: -2 -n<t<0 -1²2 v(t): 2 0<t<π Sketch the…

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Q: Final Fourier Series for the following periodic C (X(X) L

A: From given graph the periodic function with period 2 of X(t) is defined on [ 0, 2 ] as…

Q: 7. For the following function: 4 {" ..f. (.t.)..=.. く亡くし 15t<2 a. Find the complex Fourier…

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Q: The complex Fourier series of a periodic function f(x) is given n+i 7i n4 +i inI by е 5 Then, for…

A: we have given  complex fourier series of f(x)=∑-∞∞7in+in4+ieinπx5  ....(i)we know that  complex…

Q: 3x Find the sum of the Fourier series of the function Ax) = e* -1<x 1 at x = -1 OA g3 O B. -3 OC 3-3…

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Q: Q2. Find the Fourier Series in Trigonometric format (sine/cosine format). f(t) = 1. -1, T 2 osts and…

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Q: Find the Fourier series to represent f(x): = edr in the interval -T < a < T. 2n(-1)" sinh aT T(a² +…

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Q: Q1: Find the trigonometric Fourier series coefficient for the signal f (t) shown in the figure…

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

Q: for 1>t >0 for 2>t>1 2t FC) = { }

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Q: Calculate the Fourier series: a. x(t) = sin (wot + 60°)

A: As per our guidelines we are supposed to solve only one problem. For the solution of the first…

Q: Sketch the function for 3 cycles: if - 4st<0 S(t) = 15 so if 0st<4 S(1) = f(t + 8) Find the Fourier…

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Q: 3. Find the Fourier series for the following function: f (x) = 64x³ for the interval (-n, 1) %3D

A: We need to find the Fourier series expansion of 64x^3.

Q: 3. Find the Fourier Series of f(x) = cosha and g(x) = sinh x, -1 < x < 1. What are the values of the…

A: 3. Fourier Series of some function f(x) is defined as f(x)~a02+∑n=1∞[ancos(nπx)+bnsin(nπx)].Where…

Q: Q.3: Find the odd trigonometric Fourier series of the periodic function fit). (a -t if –n<t< 0 f(t)…

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Q: 21. 元 我 一元 元

A: From the figure:  Function

Q: B.Find the value of L and Cn for the following function using the complex Fourier series: f(x) = x.…

A: Given function is                                          f(x)=x ; -2π≤x≤2π we have to find L and…

Q: find the fourier series for the half-Periof sine of the function fxj = sinx inthe period x Then find…

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Q: a) Find a Fourier series to represent f(x)=x- x² from x=-7 to x=T , and deduce that 1 + 12 12 22 '…

A: (a) Given,                f(x)=x-x2      from x=-π to x=π.

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: 5. Find the half range cosine Fourier Series for the function: ...f.(x)..=.. X TT-X 0<x<= <x<T

A: Half Range Cosine Series fx=a0+∑n=1∞ ancosnπxL Where, a0=1L∫0Lfxdxan=2L∫0LfxcosnπxLdx

Q: 2. Calculate the Fourier Series S(x) of f(x) = sin(x/2), -7 < x < T. What is S(T) =?

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Q: 5. Find the Fourier Series of the function: S0, f(x) -T < x < 0 1, 0 <x< T

A: The solution is given as