Unformatted text preview: ) ² u ( t ) . 2. A linear, time-invariant system has the following transfer function: H ( s ) = ( s + 1) ( s + 2)( s + 3) . Find the steady-state response when the input is x ( t ) = 2cos( t + π/ 6) . Solution The output will be another sinusoidal signal at the same frequency as the input ( ω = 1). We have H ( jω ) = ( j + 1) ( j + 2)( j + 3) = 1 5 . Therefore: y ss ( t ) = 2 5 cos( t + π/ 6) . 1...
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- Spring '08
- HALVERSON
- Laplace, #, 15 minutes
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