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Convolve

Convolve[f, g, x, y]
gives the convolution with respect to x of the expressions f and g.

Convolve[f, g, {x₁, x₂, ...}, {y₁, y₂, ...}]
gives the multidimensional convolution.

MORE INFORMATION

The convolution (f g) (y) of two functions and is given by .

The multidimensional convolution is given by .

The following options can be given:

	Assumptions	$Assumptions	assumptions to make about parameters
	GenerateConditions	False	whether to generate conditions on parameters
	Method	Automatic	method to use
	PrincipalValue	False	whether to use principal value integrals

Basic Examples (2)

Convolve two functions:

A typical impulse response h for a system:

The step response corresponding to the same system:

Generalizations & Extensions (1)

Applications (1)

Properties & Relations (8)

Integrate DiscreteConvolve LaplaceTransform FourierTransform DiracDelta HeavisideTheta HeavisidePi HeavisideLambda

Calculus

Fourier Analysis

Generalized Functions

Integral Transforms

Summary of New Features in 7.0

New in 7.0: Alphabetical Listing

New in 7.0: Mathematics & Algorithms

Demonstrations with Convolve (Wolfram Demonstrations Project)

New in 7

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