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I need the answer with more details , and more accurate ! Q.1 Using the Fourier...
Bonus Question: Determine the Fourier Transform using the Fourier Transform integral for x(t) and then answer (b). (a) x(t) = 8(t) -e-tu(t) (b) Plot the magnitude of the Fourier Spectrum. Useful Formula: Fourier Transform: F[f(t)] = F(w) sof(t)e-jw dt Inverse Fourier Transform: F-1[F(w)] = f (t) = 24., F(w)ejwidw Time Transformation property of Fourier Transform: f(at – to). FC)e=itoch Laplace Transform: L[f(t)] = F(s) = $© f(t)e-st dt Shifting property: L[f(t – to)u(t – to)] = e-toSF(s) e [tuce) =...
W (t) = (a) Find W (f) using the Duality Property of the Fourier Transform and the Table.
hi need help with following 1). Find the Inverse Fourier transform of: Your answer should be expressed as a function of t using the correct syntax. Inverse F.T. is f(t) = 2). Find the Inverse Fourier transform of: Your answer should be expressed as a function of t using the correct syntax. Inverse F.T. is f(t) = 4. -102w (17+iw)2 We were unable to transcribe this image 4. -102w (17+iw)2
hi i need help with the following 1). Determine the Inverse Fourier transform of: Your answer should be expressed as a function of t using the correct syntax. Inverse F.T. is f(t) = 2). Determine the Inverse Fourier transform of: Your answer should be expressed as a function of t using the correct syntax. Inverse F.T. is f(t) = 13 15
g(t) Given the signal g(t) = cos(t)), (1) Using the frequency-shifting property, find Fourier Transform G(f)in "sinc" format. (2) Find the Energy Spectrum Density (ESD): Sgf) = 1G(f)12 (3) Find and sketch the Autocorrelation R,(t) by Wiener-Khintchine Theorem. -210 210
(b) Let X(ju) denote the Fourier transform of the signal r(t) shown in the figure x(t) 2 -2 1 2 Using the properties of the Fourier transform (and without explicitly evaluating X(jw)), ii. (5 pts) Find2X(jw)dw. Hint: Apply the definition of the inverse Fourier transform formula, and you can also recall the time shift property for Fourier Transform. (c) (5 pts) Fourier Series. Consider the periodic signal r(t) below: 1 x(t) 1 -2 ·1/4 Transform r(t) into its Fourier Series...
Useful Formula: Fourier Transform: F[f(t)] = F(w) sof(t)e-jw dt Inverse Fourier Transform: F-1[F(w)] = f (t) = 24., F(w)ejwidw Time Transformation property of Fourier Transform: f(at – to). FC)e=itoch Laplace Transform: L[f(t)] = F(s) = $© f(t)e-st dt Shifting property: L[f(t – to)u(t – to)] = e-toSF(s) e [tuce) = 1 and c [u(e) = ) Using the convolution property of Fourier Transform to find the following convolution: sinc(t) * sinc (4t) [Hint: sinc(t) or rect(w/2)] TC .
Find the Inverse Fourier transform of:
Your answer should be expressed as a function of t
using the correct syntax.
Inverse F.T. is f(t) =
143w e-11ιω Question 13 (2 marks) Attempt 1 F(u)=# Find the Inverse Fourier transform of: e-11u Your answer should be expressed as a function of t using the correct syntax. Inverse F.T. is f(t)- Skipped
143w e-11ιω
Question 13 (2 marks) Attempt 1 F(u)=# Find the Inverse Fourier transform of: e-11u Your answer should be...
hi need help with following 1). What is the Inverse Fourier transform of: Your answer should be expressed as a function of t using the correct syntax. Inverse F.T. is f(t) = 2). What is the Inverse Fourier transform of: Your answer should be expressed as a function of t using the correct syntax. Inverse F.T. is f(t) = 5(49-u2 (494a,2)2 2527 5(49-u2 (494a,2)2 2527
5.5 Starting with the Fourier transform pair 2 sin(S2) X(t) = u(t + 1) – ut - 1) = X(92) = S2 and using no integration, indicate the properties of the Fourier transform that will allow you to compute the Fourier transform of the following signals (do not find the Fourier transforms): (a) xz(t) = -u(t + 2) + 2u(t) – u(t – 2) (b) xz(t) = 2 sin(t)/t (C) X3 (t) = 2[u(t + 0.5) - ut - 0.5)]...