2. Let S(4) = { 5 IE (0, 1] 0 otherwise. || a). Find the convolution f * f. b). Find the Fourier transform f * f. 2)
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![2. Let
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- Find z - transform F(z) of the function-1 f(nT) = d" T z + a -T | Z - O خيار 2 3 T z – a -T z + a |Q5: Find the Z-transform of the following: Hint: a*f(k) = F (4) a) x(k) = 2k ek b) x(k) = e-k sin wk , c) x(k) = 3-k sin wk d) x(k) = 2k sin wk ,e)x(k) = ek sin wk , f)x(k) = ek k ak,Q5) a) Find Laplace transform of the function f(t) = cos(3t + 4) + e¬tu(t – 5) + tcosh²3t b) Find the Inverse Laplace transform for the following functions i) F(s) = (s + 2)(s² + 9)/ ii) F(s) = (32 + 8s +2.
- The Fourier transform of f(t) is F(w) = 2e bijw 9 + 3 Using the Convolution Theorem, find f(t) in the form f(t) = A H(t - to)et+D and enter the values of the constants A, to, C and D, as integers. Enter A: Enter to: Enter C Enter D:9) Use Convolution theorem to calculate Inverse laplace transform. 1 I' [Go+i) Con (5+1) (5³²+25 +50)Find the Laplace transform of the following function. That is, determine coefficient (A,B,C,D,E,F,G,H,I,J,K)
- Find the Z-transform of: 1. (n + 1)2 2. sin? 4 () nn 3. sin3 6. пп 4. cos 2 5. (n + 1)(n + 2)The Fourier transform of ƒ(t) is F(w) = 6+ 2 Using the Convolution Theorem, find f(t) in the form f(t) = A H(t – to)et+D and enter the values of the constants A, to, C and D, as integers. Enter A: Enter to: Enter C. Enter D:Compute the coefficient Fourier a, of the { T - r, 0Recommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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