### Impulse Response

In the same way that the impulse response of a digital filter is given by the inverse*z*transform of its transfer function, the impulse response of an

*analog*filter is given by the inverse

*Laplace*transform of its transfer function,

*viz.*,

*Heaviside unit step function*

*partial fraction expansion*(see §6.8) and each term in the expansion inverted by inspection as above.

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The Continuous-Time Impulse

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Transfer Function