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The Fourier transform of a convolution of two functions is equivalent to ( ) the Fourier transform of each individual function a. the cross product b. convoluting c. adding d. multiplying
Question 3 Fourier transform] Find the Fourier transform of the following functions. (i) f(z) = H (t-k)e-4. (ii) f(x) = 5e-4H21 (im)(xe 0, otherwise. IV) f(x) = Fourier transform
Question 3 Fourier transform] Find the Fourier transform of the following functions. (i) f(z) = H (t-k)e-4. (ii) f(x) = 5e-4H21 (im)(xe 0, otherwise. IV) f(x) = Fourier transform
Integral Transform
Find the Fourier Sine transform of the following functions: (a) F {e-a2} (b) Fo{qz1a2}
Question 31 1 pts Fourier transform is used for Periodic functions Constant functions Non-periodic functions Unbounded functions Question 32 1 pts Fourier transform of the impulse function is: Infinity 1 Zero None of the above
Find and plot the Fourier transforms of the following signals. (if the Fourier transform is a complex function, plot the magnitude absolute value) and phase (argument) parts separately) [70 points]. [Hint: You can use the time shifting property if applicable] 5, 0 <ts3 Xs(t)-〈0, otherwise
Problem 5: [9 Points) Find the inverse Fourier transform of the frequency functions, (a) c) x(a 2 -6
Problem 5: [9 Points) Find the inverse Fourier transform of the frequency functions, (a) c) x(a 2 -6
1. Find the Fourier transforms of the following functions:
(1) f(x) = rect * (x) * r * e * c * t * (x - 1)
(2) g(x) = 2sin c * (2x) * sin(x)
(3) p(x) = rect(x - 2)/2x
(4) u(x) = 3sin c * (3x) - sin c * (x)
(5) v(x) = sinc(x) * sinc (x) * sinc (x)
2. Find and sketch the functions and the corresponding Fourier transforms:
(1) f(x) = 1/5 *...
3. Compute the Fourier transform of the following functions and sketch them (a) f(x)-cos2 (2πχ) (b) f(x) = ramp(x) rect(x/2) Comment on the similarity with Fourier series coefficients in 1(a) and 1(b)