Tuto6_FT - t x dt d t x 3. (Problem 5.29a) Consider a...

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EE3210 Tutorial 6: Fourier Transform 1. (Problem 5.21) Compute the Fourier transform of each of the following signals: a) ] 6 [ ] 2 [ ] [ = n u n u n x b) ] 1 [ 2 1 ] [ = n u n x n 2. Given that x ( t ) has the Fourier transform X ( j ω ), express the Fourier transforms of the signals listed below in terms of X ( j ). You may find useful the Fourier transform properties listed in Table 4.1. a) ) 1 ( ) ( 1 t x t x = b) ) 6 3 ( ) ( 2 = t x t x c) ) 1 ( ) ( 2 2 3 =
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Unformatted text preview: t x dt d t x 3. (Problem 5.29a) Consider a discrete-time LTI system with impulse response ] [ 2 1 ] [ n u n h n ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ = . Use Fourier transform to determine the response to the following signal: ] [ 4 3 ] [ n u n x n ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ = (Hint: Use partial fraction and transform table to do the inverse transform.)...
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