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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 </>
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...
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Fourier Transforms • Find the Fourier transform of et if -a<x<a 0 otherwise. • Find the Fourier transform of S f(0) = 3 10 if - 1<x<1 otherwise
Problem 3 Use tables of Fourier Transforms and properties to help deter- mine the Fourier transform of (t)t (sint Problem 4 An LTI system has impulse response )2 h(t) = exp(-4t)2(t) For a particular input (t) the output is observed to be y(t) exp(-4t)ult) exp(-5t)ult). Find ()
**INVERSE FOURIER TRANSFORM**
c) Find the Fourier transform of the function et. Using this find the Fourier transform of re-.
Use tables of Fourier transform pairs and properties to find the
Fourier transform of each of the signals
a) f(t)=(1-eb )u(t) b) f(t)= Acos(@t+) c) f(t)=e"u(-t), a>0 d) f(t)=C/(t+t)