Unformatted text preview: 5. An LTI causal system with zero initial energy is subjected to an input signal x ( t ) = e3 t cos(2 t ) u ( t ) . The resulting output is given by y ( t ) = t 3 e2 t sin( t ) u ( t ) . Your tasks are as follows: (a) Find the transfer function. (b) Find the system’s impulse response function. (c) Obtain the step response of the system. (d) Determine the output of this system for an input x ( t ) = sin( ωt ) u ( t ) for any (realvalued) frequency ω . Again assume zero initial energy at the time of input application. 6. The step response of an LTI system is given by g ( t ) = t 2 cos(Ω t ) u ( t1) . Determine the transfer function for this system....
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 Spring '10
 JEANNEFALCON
 Laplace, LTI system theory, unilateral LAPLACE transform

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