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 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 (real-valued) 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 ( t-1) . Determine the transfer function for this system....
View Full Document
- Spring '10
- Laplace, LTI system theory, unilateral LAPLACE transform