This question is for Fourier series/transfromation. Please solve this and explain everything as i dont understand much fourier.
This question is for Fourier series/transfromation. Please solve this and explain everything as i dont understand...
clear steps please, i couldn't solve it In trigonometric Fourier series representation: x(t) = A + ) (Ak cos(kwot) + Bk sin(kwt)). k=1 If the derivative of x(t) is represented by another Fourier series dx(t) dt = E. + ) (Ex cos(kw.t) + Fk sin(kw.t)), k=1 find the relations between Ak & Bk and the new coefficients Ek & Fr.
Im to find the sin and cosine series representations meaning I have to find the coefficients of the fourier series when a_n = 0 and when b_n = 0 I believe. Expand each function into its cosine series and sine series representations of the indicated period T. Determine the values to which each series converges to at x = 0, x = 2 and x =-2 3. a),f(x)-3-x, T=6 b)f(x)=e, T = 2π c)I(x) = sin (x), T=2π 2, 2sr<3...
Question 4. Calculate the Fourier sine series and the Fourier cosine series of the function f(x) = sin(x) on the interval [0, 1]. Hint: For the cosine series, it is easiest to use the complex exponential version of Fourier series. Question 5. Solve the following boundary value problem: Ut – 3Uzx = 0, u(0,t) = u(2,t) = 0, u(x,0) = –2? + 22 Question 6. Solve the following boundary value problem: Ut – Uxx = 0, Uz(-7,t) = uz (77,t)...
2.4. HARMONIC FOURIER SERIES 57 Problem 2. Consider the function f in L? (0,2m) given by f(t) = sin( 1.5) (when 0 < t < 2π Find the sine and cosine Fourier series expansion (3.1) for f. Choose a partial Fourier series approximation pn(t) for f (t). Then plot pn(t) and f(t) on the same graph. Compute the error llf - Pall. Does this Fourier series converge for t 2mj where j is an integer, and if so what does...
please solve me these two questions and please solve it step by step and you get thumbs up, explain every detail especially the question 2 SIGNALS AND SYSTEMS 1. Find the rgonometric Fourier Series expansion of the following signal: (15 M) -A Q2. Find the complex Fourier series representation of an impulse train given as: (15 M) x(t) δ(t-2m) Which frequency coefficient Cn has the largest power? Plot x(O and Gr SIGNALS AND SYSTEMS 1. Find the rgonometric Fourier Series...
please, please, explain the process and step by step how to solve this problem, I want to get the logic and process: >> Do not simplify the answer. I already saw other answers and still do not get the process how to solve it<< 1. In class we found that the Fourier series of a unit amplitude square wave of period 2 seconds was given by x(t) = Σ 그etjnitt HTT odd (a) Show that this series can be rewritten...
Hey, I need help with this signal problem, I’m not good with Fourier transform, series,so try to provide steps by steps with formulas given so I can understand properly. I will be very grateful to you, thanks 2. Consider a Diode-RC circuit with input signal v) and output signal rO. The input signal is r(,) = 2(1 + m()) sin(2π x 1061) where r, 0sIs1, -1+2, 2<Is3 -1, 3IS4 Draw (a) (5%) the Diode-RC circuit; (c) ( 1 0%) v(1);...
please, please, explain the process and step by step how to solve this problem, I want to get the logic and process: >> Do not simplify the answer. I already saw other answers and still do not get the process how to solve it<< Question 5) In the circuit shown in Fig. 5, the Fourier series expansion of Vs(t) is Find Vo(t) Fi9.s Question 5) In the circuit shown in Fig. 5, the Fourier series expansion of Vs(t) is Find...
please complete all parts Problem F.7: These are independent problems (a) (5 points) Solve the following integral. (Hint: Think Fourier series.) (cos(nt) - 2sin(5rt)e-Jr dt XCj) (b) (5 points) Find the Fourier transform io of the following signal: 2(t) = sin(4t)sin(30) (c) (5 points) Solve the integral: sin(2t) 4t dt (d) (5 points) Use Parseval's theorem and your Fourier transform table to compute this integral: Problem F.7: These are independent problems (a) (5 points) Solve the following integral. (Hint: Think...
I dont understand how to figure out if a signal is in the frequency and time domain 7. Consider f[n] = ejwon and g[n] = ej(wo+21)n, with wo to be a constant. (a) Please decide whether f[n] is periodic or not in the frequency domain, and specify the period if yes. You don't need the Fourier series to solve this, just arguments are fine. (b) Decide whether f [n] is periodic in time domain, and specify the period if yes....