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Unformatted text preview: tf ( t ) and sin w tf ( t ) in terms of the Fourier coe±cients of f ( t ). 4. Show that the periodic function f ( t ) shown in Fig. 2 has the Fourier series representation: f ( t ) = 1 2 + 2 π ∞ s k =1 1 2 k-1 sin(2 k-1) t. Figure 2: Q4 This function is now applied to a linear, time-invariant system whose system function is H ( s ) = s s 2 + 1 . Find the Fourier series representation of the corresponding output. 5. Find the Fourier coe±cients F n of the periodic signal f ( t ) shown in Fig. 3. 2 Figure 3: Q5 Find the mean square error when f ( t ) is approximated by F + F 1 e iπt + F-1 e-iπt . 3...
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- Spring '08
- Fourier Series, Periodic function, #, 2k, 10 Hand