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

open allclose all

Convolve two sequences:

In[1]:=

Out[1]=

In[2]:=

Out[2]=

Use a typical impulse response h for a system:

In[1]:=

In[2]:=

Out[2]=

The step response corresponding to the same system:

In[3]:=

Out[3]=

In[4]:=

Out[4]=