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Network TheoryNetwork Functions

The convolution integral for the zero-state output of a continuous-time LTI network is?

  • Ay(t)=integral x(tau)h(t-tau)d tau
  • By(t)=x(t)+h(t)
  • Cy(t)=x(t)/h(t)
  • Dy(t)=dx(t)/dt only
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Correct Answer: A. y(t)=integral x(tau)h(t-tau)d tau
Explanation: The zero-state response of an LTI system is the convolution of the input x(t) with the impulse response h(t).
Reference: Standard network theory: convolution
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