Find the Fourier Transform of the triangular pulse _(1 + t for -1<t < 0 x(t)...
Q2: Find the complex Fourier series (show your steps) - T < x <07 f(x) 0 < x < Q1: Find the Fourier transform for (show your steps) - 1<x< 0 Otherwise (хе f(x) = { 0,
5. Find the Fourier Transform of g(t) = {o. (1-x?, x<1, 1</z/.
Find the Fourier transform of f(x) = 1–x?, for -1 < x < 1 and f(x) = 0 otherwise. Hence evaluate the integral 6 * * cos sin cos des.
3. If signal 13(t) has Fourier transform J 1-2W, -0.5 <w< 0.5 otherwise 0 find 13t).
(c). Determine the Fourier transform of s(t)={! -1<i<1 14 > 1
4. Consider the signal co(t) = et, 0<t<1 , elsewhere Determine the Fourier transform of each of the signals shown in Figure 2. You should be able to do this by explicitly evaluating only the transform of co(t) and then using properties of the Fourier transform. X(t) X2(t) Xolt) Xp(t) -Xol-t) X3(t) Xolt +1) X4(t) Xolt) txo(t) My Lane 1 0
The Fourier transform of f(t), F(W) is as follows: F(W) = F[f(t)] vendºsce-iat de Find the Fourier transform of f(t): 0 < \t] =1 = 1t| 10 t = 0,|t| > 1 (1) f(t) = {i (2) f(t) = {2 (t2 0 < t < 1 lo |t| > 1
M<a a) Find the Fourier transform of b) Graph (x) and its Fourier transform fora c) Hence evaluate f(x) =| 3 d) Deduce r sin u
need help solving thank you 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
Using the shift or stretch theorem find the Fourier transform of 1 for – 4 <t< -2 b(t) = { 0, otherwise 1 for – 1 <t < 1 given the transform of unit step function a(t) is ā(k) = 2 sin(k) k 0, otherwise b(k) =