Using the shift or stretch theorem find the Fourier transform of 1 for – 4 <t<...
Need solution pls... 2. Find the Fourier transform of f() = {6 1 – 12 \t <1 1t| > 1 Use the first shift theorem to deduce the Fourier transforms of e3jt (1-12) 11 <1 (a) g(t) 1t| > 1 {" (b)h() = {**"1 –1) "151 It| > 1 Answer: 63 4 cos o 4 sin o + -62 -4 cos(w – 3) (a) (0 – 3)2 -4 cos(w – j) (b) (w – j)2 + 4 sin(0 – 3)...
3. If signal 13(t) has Fourier transform J 1-2W, -0.5 <w< 0.5 otherwise 0 find 13t).
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
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.
What is the Fourier transform of the following: f(0) = 3 sin wot for \t] < 57/W. elsewhere
Find the Fourier Transform of the triangular pulse _(1 + t for -1<t < 0 x(t) = (1 - t for 0 <t<1
Need solution pls... 1. Find the Fourier transform of 0 <t<2 (a) f(t) = 1+ -2<t<0 otherwise a > 0 (b) f(t) = Se-at eat t> 0 t < 0 () f(1) = { cost t> 0 t < 0 0 Answer: 1 - cos 20 (a) (b) 2a al + m2 (c) 1 + jo (1+0)2 + 1
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,
4-6. Using the Fourier transform integral, find Fourier transforms of the following signals: (a) xa(1)-1 exp(-α) u(t), α > 0; (b) xb(t) = u(t) u(1-t);
(c). Determine the Fourier transform of s(t)={! -1<i<1 14 > 1