W (t) =
(a) Find W (f) using the Duality Property of the Fourier Transform and the Table.
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W (t) = 10/(1+〖(20πt)〗^2 ) Find W (f) using the Duality Property of the Fourier Transform and the Table.
Problem 5: Use the duality property of the Fourier transform to find the Fourier transform of x(t) = sinc(Wt).
Problem 5: Use the duality property of the Fourier transform to find the Fourier transform of x(t) = sinc(Wt). Please solve clearly, not copy paste old solutions.
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 .
f(t)=(9t+20t2)2(7-20)t H(t) Find the Fourier transform of: . Your answer should be expressed as a function of w using the correct syntax Fourier transform is F(w)Skipped f(t)=(9t+20t2)2(7-20)t H(t) Find the Fourier transform of: . Your answer should be expressed as a function of w using the correct syntax Fourier transform is F(w)Skipped
Question Question 5 (2 marks) Attempt 1 Find the Fourier transform of: f(t) ˊ-e-10t Your answer should be expressed as a function of w using the correct syntax. Fourier transform is F(w) = π(164t2)2 Question Question 5 (2 marks) Attempt 1 Find the Fourier transform of: f(t) ˊ-e-10t Your answer should be expressed as a function of w using the correct syntax. Fourier transform is F(w) = π(164t2)2
The Fourier transform of f(t), F(W) is as follows: F(W) = F[f(t)] vendºsce-iat de Find the Fourier transform of f(t): 0 < \t] =1 = 1t| 10 t = 0,|t| > 1 (1) f(t) = {i (2) f(t) = {2 (t2 0 < t < 1 lo |t| > 1
Question 2 (1 mark) Attempt 1 What is the Fourier transform of: f(t 3e2 Reflection: F f(-t Your answer should be expressed as a function of w using the correct synta:x Fourier transform is F(w)Skipped 2tH(-t)? Question 2 (1 mark) Attempt 1 What is the Fourier transform of: f(t 3e2 Reflection: F f(-t Your answer should be expressed as a function of w using the correct synta:x Fourier transform is F(w)Skipped 2tH(-t)?
Question 4 (2 marks) Attempt 1 Find the Fourier transform of. cos(19)e7t j(t)= Your answer should be expressed as a function of w using the 2Tt correct syntax. Fourier transform Skipped is F(w) = Question 4 (2 marks) Attempt 1 Find the Fourier transform of. cos(19)e7t j(t)= Your answer should be expressed as a function of w using the 2Tt correct syntax. Fourier transform Skipped is F(w) =
What is the Fourier transform of: Your answer should be expressed as a function of w using the correct syntax. Fourier transform is F(w) = 16 / (t)-sin(18t)? Question 2 (1 mark) Attempt 1 What is the Fourier transform of: f(t)-5-isin(18t)? 3Tt Your answer should be expressed as a function of w using the correct syntax. Fourier transform is F(w) = skipped 16 / (t)-sin(18t)? Question 2 (1 mark) Attempt 1 What is the Fourier transform of: f(t)-5-isin(18t)? 3Tt Your...
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) =...