DiscreteConvolve

gives the convolution with respect to n of the expressions f and g.

DiscreteConvolve[f,g,{n₁,n₂,…},{m₁,m₂,…}]

gives the multidimensional convolution.

Details and Options

Assumptions	$Assumptions	assumptions to make about parameters
GenerateConditions	False	whether to generate conditions on parameters
Method	Automatic	method to use
VerifyConvergence	True	whether to verify convergence

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Convolve two sequences:

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Use a typical impulse response h for a system:

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The step response corresponding to the same system:

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