Bonus Question: Determine the Fourier Transform using the Fourier Transform integral for x(t) and then answer...
Bonus Question: Determine the Fourier Transform using the Fourier Transform integral for x(t) and then answer (b). (a) x(t) = 8(t) -e-tu(t) (b) Plot the magnitude of the Fourier Spectrum. Useful Formula: Fourier Transform: F[f(t)] = F(w) sof(t)e-jw dt Inverse Fourier Transform: F-1[F(w)] = f (t) = 24., F(w)ejwidw Time Transformation property of Fourier Transform: f(at – to). FC)e=itoch Laplace Transform: L[f(t)] = F(s) = $© f(t)e-st dt Shifting property: L[f(t – to)u(t – to)] = e-toSF(s) e [tuce) =...
Need help asap. will rate Determine the Fourier Transform using the Fourier Transform integral for x(t) and then answer (b). (a) x(t) = (t)-e-fu(t) (b) Plot the magnitude of the Fourier Spectrum. 0 o Paragraph BIU ... AJ </>
Calculate the Fourier transform for f(t) - e-3t by calculating the Fourier transform integral. Calculate the magnitude |F(o)| and sketch the magnitude |F(o)| as a function ofo. Calculate the Fourier transform for f(t) - e-3t by calculating the Fourier transform integral. Calculate the magnitude |F(o)| and sketch the magnitude |F(o)| as a function ofo.
Fourier transform from Laplace transform-The Fourier transform of finite support signals, which are absolutely integrable or finite energy, can be obtained from their Laplace transform rather than doing the integral. Consider the following signals 5.30 x3(t) - r(t + 1) - 2r(t) + r(t - 1) (a) Plot each of the above signals. (b) Find the Fourier transforms (X,(S2)) for1, 2, and 3 using the Laplace transform (c) Use MATLAB's symbolic integration function int to compute the Fourier transform of...
(10 pts). Using the transform integral, determine the Fourier transform of each of the following signals: a. x(t) - ecos(200t)u(t) b. x(t) -e ltl 5. Scrambled Answers 4-1400-200)+4+](400 +2o), jo, a 1+?
2) (Fourier Transforms Using Properties) - Given that the Fourier Transform of x(t) e Find the Fourier Transform of the following signals (using properties of the Fourier Transform). Sketch each signal, and sketch its Fourier Transform magnitude and phase spectra, in addition to finding and expression for X(f): (a) x(t) = e-21,-I ! (b) x(t)-t e 21 1 (c) x(t)-sinc(rt ) * sinc(2π1) (convolution) [NOTE: X(f) is noLI i (1 + ㎡fy for part (c)] 2) (Fourier Transforms Using Properties)...
Determine the Fourier transform of the following signals and plot the spectrum a. x(t) 4 sin 2T1000t b, x(t)= 4sin 2πί000t cos 2π4000t c. x(t)= (4 + cos 272000) cos 2π5000t
QUESTION 3 (a) If the Fourier transform of (t) is X(c) = 12 (a+2)j@+6) determine the transform for (-21-1). [5 marks] (b) Based on Figure Q3(b), give the expression for signal xt) in unit step function. From your obtained expression, find the Fourier transform of x(). Then compare your answer using the formula of Fourier transform. x() 10 0 Figure Q3(b) [9 marks] 다. For the linear system in Figure Q3(e), when the input voltage is vr(t) = 2sgn(t) V....
Problem .2 Determine the Fourier transform of the following signals and plot the spectrum C. X(t) = (2+ cos211000t) cos 275000t
Given that f (t) e-au(t to), where a 0, determine the Fourier transform F() of f(t). 7.1 (b) Given that where a > 0, determine the Fourier transform G (w) of g(0) by using the symmetry property and the result of part (a). Confirm the result of part (b) by calculating g) from G(w), using the inverse Fourier transform integral