Signals and Systems

EXERCISES

1. A system has impulse response h(t) = e^−2tu(t). Find its system function and the output if the input to the system is x(t) = e^−tu(t).

   [Ans. System transfer function = and y(t) = e^−tu(t) − e^−2tu(t)]

2. For a system having determine the following:
   1. its impulse response,
   2. its response to the input e^−tu(t).

   

    

3. Find the steady state response of a system having differential equation

    

    

   [Ans. y(t) = 0.364 cos (3t + 266˚)]