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VisSim Application Centre Home > Signal Processing
 Solving a System Response Using The Convolution Integral  File Size 6.35K | Date Added January, 4, 2005


You can you use and modify any of these worksheets with the Vissim 7 trial

Solving a system response using the convolution integral: y(t) = h(t-tau)*x(tau) = S h(t-tau)*x(tau) dtau

where
  • S = the integral from tau = 0 to tau = t
  • h(t) = the system impulse response
  • x(t) = an arbitrary input
  • y(t) = the resulting output
  • In this example the impulse response is solved two ways, analytically and numerically. The analytical solution is simply the inverse Laplace transform of the system transfer function. The numerical solution computes an approximation to the impulse response by differentiating the system unit step response.




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