Find the fourier transform of the function below, considering a, b and c as constants. 50.5...
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
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)
Find the Fourier transform of a Gaussian function:
i7t Find the Fourier transform of: ft)- Your answer should be expressed as a function of w using the correct syntax. Fourier transform is Fiw)Skipped i7t Find the Fourier transform of: ft)- Your answer should be expressed as a function of w using the correct syntax. Fourier transform is Fiw)Skipped
only number 8 Figure 3.2 Figure 3.1 Find the Fourier transform of the following signals a. x(t) - e-at cos(wt) u(t) ,a>0 8. 1+j2)t 9. Compute the discrete Fourier transform of the following signals.
1. Consider the function f(x)-e- (a) Find its Fourier transform. (b) Use the result of part (a) to find the value of the integral o0 cos kx dk 0 1 +k2 (c) Show explicitly that Parseval's theorem is satisfied for eand its Fourier transform 1. Consider the function f(x)-e- (a) Find its Fourier transform. (b) Use the result of part (a) to find the value of the integral o0 cos kx dk 0 1 +k2 (c) Show explicitly that Parseval's...
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) =
2. Find the Fourier transform of 3. Find the Fourier transform of re(r), where e(r) is the Heaviside function. 4. Find the inverse Fourier transform of T h, where fe R3 2. Find the Fourier transform of 3. Find the Fourier transform of re(r), where e(r) is the Heaviside function. 4. Find the inverse Fourier transform of T h, where fe R3
[b] State and prove frequency shifting property of Fourier transform Also find the fourier transform of gate function. [c] It is given that x[0] =1, x[1]=2, x[2]=1, h[0]=1. Let y[n] be linear convolution of x[n) and h[n]. Given that y[1]=3 and y[2]-4. Find the value of the expression 10y[3]+y[4].