Unformatted text preview: 3. A system has a response that is the cube o± its excitation. That is, to a signal x ( t ), the system responds with the output y ( t ) = x ( t ) 3 . Classi±y the system as to homogeneity, time-invariance, invertibility, and memory. 4. An LTI system is excited by an input x ( t ) = 3ramp( t ) and produces the response y ( t ) = u ( t ), the unit-step ±unction. What will be the system response to g ( t ) = 2( t-1) u ( t-1)? Observe that we can compute this output because we can make use o± the LTI properties o± the system. 1...
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- Summer '08
- Cos, LTI system theory, Time-invariant system, trigonometric formulas