Impulse response

The Dirac delta represents the limiting case of a pulse made very short in time while maintaining its area or integral (thus giving an infinitely high peak).

In Fourier analysis theory, such an impulse comprises equal portions of all possible excitation frequencies, which makes it a convenient test probe.

Any system in a large class known as linear, time-invariant (LTI) is completely characterized by its impulse response.

[2] Measuring the impulse response, which is a direct plot of this "time-smearing," provided a tool for use in reducing resonances by the use of improved materials for cones and enclosures, as well as changes to the speaker crossover.

[3] Impulse response analysis is a major facet of radar, ultrasound imaging, and many areas of digital signal processing.

Various packages are available containing impulse responses from specific locations, ranging from small rooms to large concert halls.

These impulse responses can then be utilized in convolution reverb applications to enable the acoustic characteristics of a particular location to be applied to target audio.

[5][6] Recently, asymmetric impulse response functions have been suggested in the literature that separate the impact of a positive shock from a negative one.

The impulse response from a simple audio system. Showing, from top to bottom, the original impulse, the response after high frequency boosting, and the response after low frequency boosting.
Unit sample function