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Unformatted text preview: 5. An LTI causal system with zero initial energy is subjected to an input signal x ( t ) = e-3 t cos(2 t ) u ( t ) . The resulting output is given by y ( t ) = t 3 e-2 t sin( t ) u ( t ) . Your tasks are as follows: (a) Find the transfer function. (b) Find the systems impulse response function. (c) Obtain the step response of the system. (d) Determine the output of this system for an input x ( t ) = sin( t ) u ( t ) for any (real-valued) frequency . 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( t ) u ( t-1) . Determine the transfer function for this system....
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- Spring '10