# Poles and Zeros of Time-Domain Response Functions

Poles and Zeros of Time-Domain Response Functions

This Demonstration displays the response of a system with domain representation to an impulse, step or sinusoidal input. is a transfer function generated by multiplying the poles and zeros together. Poles are at locations marked with a red X and have the form . Zeros are at locations marked with a blue O and have the form . You can drag the poles and zeros, but because the generating differential equation is assumed to have real coefficients, all complex poles and zeros occur as complex conjugates.

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The poles and zeros of a system enable reconstruction of the input/output differential equation.