FL10quiz18 - to a sinusoidal input explode Hint No need to...

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ESE 351 Quiz 18 Name: 11/9/10 Sections 11.1-11.2 a. Consider a continuous-time system with the transfer function: H ( s ) = 5 s + 1 ( s + 3)( s - 5) . Will the transient response to a sinusoidal input go to zero? No need to actually find the response. Your answer will be yes, no or maybe and your reasoning. b. Consider a discrete-time system with the following representation: x ( k + 1) = 1 5 0 0 1 4 x ( k ) + [ 10 30 ] u ( k ) , y ( k ) = [ 20 60 ] x ( k ) + [ 9 ] u ( k ) Is it possible to find its steady-state response to a sinusoidal input or will the response
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Unformatted text preview: to a sinusoidal input explode? Hint: No need to actually find the steady-state response. Your answer will be yes, no or maybe and your reasoning. c. If the system is stable, we can define steady-state responses. Fill in the blank. d. What is the gain at frequency ω of a continuous-time system whose transfer function is H ( s )? e. What is the phase (shift) at frequency θ of a discrete-time system whose transfer function is H ( z )?...
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