# FL10quiz20 - mum frequency θ m This corresponds to cos θ...

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ESE 351 Quiz 20 Name: 11/16/10 Sections 11.5 - 11.6 a. Consider a continuous-time system with a transfer function H ( s ). Sup- pose that the input to the system is given by u ( t ) = A cos( ωt )1( t ). Find the steady-state output y ss ( t ). b. The Fourier series expansion n = −∞ U ( n ) e inω 1 t of a periodic function u ( t ) decomposes the function u ( t ) into diﬀerent harmonics of the form U ( n ) e inω 1 t , which are also called phasors. When this function u ( t ) is fed into an asymptotically stable linear time-invariant system with the transfer function H ( s ), what will be the steady-state output y ss ( t )? c. Unlike continuous-time signals, discrete-time signals have the maxi-
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Unformatted text preview: mum frequency θ m . This corresponds to cos( θ m k ) = (-1) k . What is the value of θ m ? d. Why is the phase (shift) ̸ H ( iω ) of a continuous-time physical system typically negative for positive frequency ω > 0? Hint: You may use some of the following words: delay, advance, causal, anticipatory. e. Consider a discrete-time system with a transfer function H ( z ). Suppose that the input to the system is given by u ( k ) = A cos( θk )1( k ). Find the steady-state output y ss ( k )....
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## This document was uploaded on 05/15/2011.

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