toán kỹ thuật,lê minh cường,dhbkhcm Hw3 Fourier Transform [1] Homework3 Fourier Transform Prob3 1 Using table and properties of Fourier transform, compute F(ω) (a) f(t) = u(t – 1 ) – u(t – 2) (b) f(t)[.]
Homework3: Fourier Transform Prob3.1: Using table and properties of Fourier transform, compute F(ω) : (a) f(t) = u(t – ) – u(t – 2) (b) f(t) = 4δ(t + 2) (c) f(t) = e–4tu(t) (d) f(t) = e–4tu(t – 2) (e) f(t) = 2cos2(t) Hw3: Fourier Transform CuuDuongThanCong.com [1] https://fb.com/tailieudientucntt Homework3: Fourier Transform Prob3.2: Use the defining integral to find the Fourier transform of the following functions: − A ( −τ / < t < 0) a) f(t) = A (0 < t < τ / 2) 0 (elsewhere) (t < 0) 0 b) f(t) = − at te (0 < t ); a > Hw3: Fourier Transform CuuDuongThanCong.com [2] https://fb.com/tailieudientucntt Homework3: Fourier Transform Prob3.3: Use the defining integral to find the Fourier transform of the function: Prob3.4: Use the defining integral to find the Fourier transform of the function: -4 Em e(t) – τ/2 τ/2 10 -2 e(t) t(s) - 10 Hw3: Fourier Transform CuuDuongThanCong.com t [3] https://fb.com/tailieudientucntt Homework3: Fourier Transform Prob3.5: Find dervative: F(ω) using f(t) Prob3.6: Given R1 = 1Ω, R2 = 3Ω, L = 1H, j(t) = 50cos(3t) A Compute H(jω) = I(ω)/J(ω) ? Use Fourier transform to find i(t) ? Check the answer by using AC analysis ? t(s) –1 Hw3: Fourier Transform CuuDuongThanCong.com [4] https://fb.com/tailieudientucntt