It does not have an impulse response in the normal sense.

The graph on the right shows the impulse response of two similar systems.

As the impulse response gets longer, the low end frequencies are also restored.

But they perform somewhat better in dynamic and impulse response.

The impulse response is a characterization of the filter's behaviour.

From the impulse response, the reverberation time can be calculated.

The representing function g is the impulse response of the transformation S.

The impulse response of such a filter is given by:

The total impulse response can be expressed in two parts:

For such structures the impulse response is equal to the filter coefficients.

In such a system, the impulse response, characterizes the system completely.

However, a recursive filter does not always have an infinite impulse response.

Definition 2: Suppose is the impulse response of the system .

An impulse response is connected with a transfer function through Z-transform.

In this case, the Green's function is the same as the impulse response of linear time-invariant system theory.

The general method for calculating impulse response functions is sometimes called comparative dynamics.

If the channel impulse response is assumed to be minimum phase, the problem becomes trivial.

It is usually easier to analyze systems using transfer functions as opposed to impulse responses.

An application that demonstrates this idea was the development of impulse response loudspeaker testing in the 1970s.

In the time domain, the cause is an impulse response that oscillates, assuming negative values.

The impulse response uniquely defines the input-output behavior of the optical system.

As a consequence, also represents the impulse response function of the equivalent multipath model.

Typical infinite impulse response filters are designed to implement one of these special transfer functions.

In practice, it is not necessary to have an ideal point source in order to determine an exact impulse response.

The coefficients of a finite impulse response can then be generated using the mathematical approach mentioned above.