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Impulse response information


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.

In signal processing and control theory, the impulse response, or impulse response function (IRF), of a dynamic system is its output when presented with a brief input signal, called an impulse (δ(t)). More generally, an impulse response is the reaction of any dynamic system in response to some external change. In both cases, the impulse response describes the reaction of the system as a function of time (or possibly as a function of some other independent variable that parameterizes the dynamic behavior of the system).

In all these cases, the dynamic system and its impulse response may be actual physical objects, or may be mathematical systems of equations describing such objects.

Since the impulse function contains all frequencies (see the Fourier transform of the Dirac delta function, showing infinite frequency bandwidth that the Dirac delta function has), the impulse response defines the response of a linear time-invariant system for all frequencies.

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Impulse response

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impulse response, or impulse response function (IRF), of a dynamic system is its output when presented with a brief input signal, called an impulse (δ(t))...

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Finite impulse response

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In signal processing, a finite impulse response (FIR) filter is a filter whose impulse response (or response to any finite length input) is of finite...

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Infinite impulse response

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Infinite impulse response (IIR) is a property applying to many linear time-invariant systems that are distinguished by having an impulse response h ( t )...

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Linear filter

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revealing their transfer functions in the frequency domain and their impulse responses in the time domain. Real-time implementations of such linear signal...

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Frequency response

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response can be designed using analog and digital filters. The frequency response characterizes systems in the frequency domain, just as the impulse response...

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Linear system

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the impulse response or the frequency response methods (see LTI system theory), which describe a general input function x(t) in terms of unit impulses or...

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Transient response

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equilibrium of the system. The impulse response and step response are transient responses to a specific input (an impulse and a step, respectively). In...

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Digital filter

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made very high order, and are often finite impulse response filters, which allows for linear phase response. When used in the context of real-time analog...

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Ringing artifacts

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type of ringing is the ripples in the sinc function, which is the impulse response (time domain representation) of a perfect low-pass filter. Mathematically...

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RC circuit

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the circuit to an input voltage consisting of an impulse or Dirac delta function. The impulse response for the capacitor voltage is h C ( t ) = 1 R C e...

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Comb filter

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is one of the simplest finite impulse response filters. Its response is simply the initial impulse with a second impulse after the delay. Looking again...

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Filter design

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Frequency response Phase shift or group delay impulse response Causal filter required? Stable filter required? Finite (in duration) impulse response required...

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Impulse invariance

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Impulse invariance is a technique for designing discrete-time infinite-impulse-response (IIR) filters from continuous-time filters in which the impulse...

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Sinc filter

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whose impulse response is a sinc function and whose frequency response is rectangular, or to a sinc-in-frequency filter whose impulse response is rectangular...

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Maximum length sequence

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ring over Z/2Z. Practical applications for MLS include measuring impulse responses (e.g., of room reverberation or arrival times from towed sources in...

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Autoregressive model

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autoregressive model can thus be viewed as the output of an all-pole infinite impulse response filter whose input is white noise. Some parameter constraints are necessary...

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Wavelet transform

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the basis function ψ {\displaystyle \psi } can be regarded as an impulse response of a system with which the function x ( t ) {\displaystyle x(t)} has...

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FIR transfer function

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filter. In this article, an example of such a filter using finite impulse response is discussed and an application of the filter into real world data...

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RL circuit

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driven by a current source. It is one of the simplest analogue infinite impulse response electronic filters. The fundamental passive linear circuit elements...

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Point spread function

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the PSF is the system's impulse response; the PSF is the impulse response or impulse response function (IRF) of a focused optical imaging system. The PSF...

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Laplace transform

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equivalent to the absolute convergence of the Laplace transform of the impulse response function in the region Re(s) ≥ 0. As a result, LTI systems are stable...

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Wiener filter

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is desired (using an infinite amount of past data), and the finite impulse response (FIR) case where only input data is used (i.e. the result or output...

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Convolution

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numerical linear algebra, and in the design and implementation of finite impulse response filters in signal processing.[citation needed] Computing the inverse...

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Recurrent neural network

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networks with an infinite impulse response, whereas "convolutional neural network" refers to the class of finite impulse response. Both classes of networks...

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