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Question 3 (25pts]: Determine the Fourier transforms of the following signals and plot their coresponding magnitude...
1. Determine the Fourier transforms X) of the following signals and plot the spectrum a x(...
1. Determine the Fourier transforms X) of the following signals and plot the spectrum a x( ) = 4 sin 2.1 4000cos2x 2000 b. x(t) = (2+2 cos 2 x 20007) cos 2.5000
Problem 7.3 r(t) has the Fourier transform Xjw Determine the Fourier transforms of the following signals....
Problem 7.3 r(t) has the Fourier transform Xjw Determine the Fourier transforms of the following signals. (a) Fal)-5r(3t -2) (b) r(t)(t 1)sin(2t) (c) elt)5) HINT: Find the value of r(t) first. (d) ralt) (t)cos(2mt
2) (Fourier Transforms Using Properties) - Given that the Fourier Transform of x(t) e Find the Fourier Transform of the following signals (using properties of the Fourier Transform). Sketch each sign...
2) (Fourier Transforms Using Properties) - Given that the Fourier Transform of x(t) e Find the Fourier Transform of the following signals (using properties of the Fourier Transform). Sketch each signal, and sketch its Fourier Transform magnitude and phase spectra, in addition to finding and expression for X(f): (a) x(t) = e-21,-I ! (b) x(t)-t e 21 1 (c) x(t)-sinc(rt ) * sinc(2π1) (convolution) [NOTE: X(f) is noLI i (1 + ㎡fy for part (c)]
2) (Fourier Transforms Using Properties)...
Find and plot the Fourier transforms of the following signals. (if the Fourier transform is a...
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
3) (Fourier Transforms Using Properties) - Given that the Fourier Transform of a signal x(t) is X(f) - rect(f/ 2), find the Fourier Transform of the following signals using properties of the Fourier...
3) (Fourier Transforms Using Properties) - Given that the Fourier Transform of a signal x(t) is X(f) - rect(f/ 2), find the Fourier Transform of the following signals using properties of the Fourier Transform: (a) d(t) -x(t - 2) (d) h(t) = t x( t ) (e) p(t) = x( 2 t ) (f) g(t)-x( t ) cos(2π) (g) s(t) = x2(t ) (h)p()-x(1)* x(t) (convolution)
3) (Fourier Transforms Using Properties) - Given that the Fourier Transform of a signal...
Fourier transform from Laplace transform-The Fourier transform of finite support signals, which a...
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...
1300 30 November Sat Favorites Edit PDE Fa a Sign Annotate 98 T et mge Lin...
1300 30 November Sat Favorites Edit PDE Fa a Sign Annotate 98 T et mge Lin edact EE311F1819 Midterm Exam Reterans Deerendime Formu-YsO OPPENHEM Question 1 [25pts]: Let x[n] = 0.5 + (–-1)" and y[n] = sin (En+) be two periodic signals. a) [8pts] Determine the Fourier series coefficients and plot the magnitude of each coefficient for x[n]. b) [8pts] Determine the Fourier series coefficients and plot the magnitude of each coefficient for y[n]. e) 19pts] Let z[n] = x[n]y[n]...
how to derive the underlying signal x(t) using the definition of the Inverse Fourier transform Inverse Fourier Transforms by Definition Plot the following spectra and using the definition of the i...
how to derive the underlying signal x(t) using the
definition of the Inverse Fourier transform
Inverse Fourier Transforms by Definition Plot the following spectra and using the definition of the inverse Fourier transform, derive the underlying signal z(t). 1. Fał(w) w rect(w/wo) 2. Ffa) cos(w) rect (w/T)
Inverse Fourier Transforms by Definition Plot the following spectra and using the definition of the inverse Fourier transform, derive the underlying signal z(t). 1. Fał(w) w rect(w/wo) 2. Ffa) cos(w) rect (w/T)
6. Plot the following functions and then find the Fourier transforms: (a) f (t) - Kt[u(t...
6. Plot the following functions and then find the Fourier transforms: (a) f (t) - Kt[u(t +a/2) - u(t - a/2)]. What is the value of F(0)? (b) f(t)- A cos (t)[u(t 2) ut -2)] (c) f(t) -Ae-2M-Du(t -1). 2(t-1)
Determine the Fourier transform of the following signals and plot the spectrum a. x(t) 4 sin...
Determine the Fourier transform of the following signals and plot the spectrum a. x(t) 4 sin 2T1000t b, x(t)= 4sin 2πί000t cos 2π4000t c. x(t)= (4 + cos 272000) cos 2π5000t
1. Determine the Fourier transforms X) of the following signals and plot the spectrum a x( ) = 4 sin 2.1 4000cos2x 2000 b. x(t) = (2+2 cos 2 x 20007) cos 2.5000
Problem 7.3 r(t) has the Fourier transform Xjw Determine the Fourier transforms of the following signals. (a) Fal)-5r(3t -2) (b) r(t)(t 1)sin(2t) (c) elt)5) HINT: Find the value of r(t) first. (d) ralt) (t)cos(2mt
2) (Fourier Transforms Using Properties) - Given that the Fourier Transform of x(t) e Find the Fourier Transform of the following signals (using properties of the Fourier Transform). Sketch each signal, and sketch its Fourier Transform magnitude and phase spectra, in addition to finding and expression for X(f): (a) x(t) = e-21,-I ! (b) x(t)-t e 21 1 (c) x(t)-sinc(rt ) * sinc(2π1) (convolution) [NOTE: X(f) is noLI i (1 + ㎡fy for part (c)]
2) (Fourier Transforms Using Properties)...
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
3) (Fourier Transforms Using Properties) - Given that the Fourier Transform of a signal x(t) is X(f) - rect(f/ 2), find the Fourier Transform of the following signals using properties of the Fourier Transform: (a) d(t) -x(t - 2) (d) h(t) = t x( t ) (e) p(t) = x( 2 t ) (f) g(t)-x( t ) cos(2π) (g) s(t) = x2(t ) (h)p()-x(1)* x(t) (convolution)
3) (Fourier Transforms Using Properties) - Given that the Fourier Transform of a signal...
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...
1300 30 November Sat Favorites Edit PDE Fa a Sign Annotate 98 T et mge Lin edact EE311F1819 Midterm Exam Reterans Deerendime Formu-YsO OPPENHEM Question 1 [25pts]: Let x[n] = 0.5 + (–-1)" and y[n] = sin (En+) be two periodic signals. a) [8pts] Determine the Fourier series coefficients and plot the magnitude of each coefficient for x[n]. b) [8pts] Determine the Fourier series coefficients and plot the magnitude of each coefficient for y[n]. e) 19pts] Let z[n] = x[n]y[n]...
how to derive the underlying signal x(t) using the
definition of the Inverse Fourier transform
Inverse Fourier Transforms by Definition Plot the following spectra and using the definition of the inverse Fourier transform, derive the underlying signal z(t). 1. Fał(w) w rect(w/wo) 2. Ffa) cos(w) rect (w/T)
Inverse Fourier Transforms by Definition Plot the following spectra and using the definition of the inverse Fourier transform, derive the underlying signal z(t). 1. Fał(w) w rect(w/wo) 2. Ffa) cos(w) rect (w/T)
6. Plot the following functions and then find the Fourier transforms: (a) f (t) - Kt[u(t +a/2) - u(t - a/2)]. What is the value of F(0)? (b) f(t)- A cos (t)[u(t 2) ut -2)] (c) f(t) -Ae-2M-Du(t -1). 2(t-1)
Determine the Fourier transform of the following signals and plot the spectrum a. x(t) 4 sin 2T1000t b, x(t)= 4sin 2πί000t cos 2π4000t c. x(t)= (4 + cos 272000) cos 2π5000t
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