This is documentation for Mathematica 4, which was
based on an earlier version of the Wolfram Language.

ListCorrelate

ListCorrelate[ker, list] forms the correlation of the kernel ker with list.

ListCorrelate[ker, list, k] forms the cyclic correlation in which the k element of ker is aligned with each element in list.

ListCorrelate[ker, list, , ] forms the cyclic correlation whose first element contains list[[1]] ker[[]] and whose last element contains list[[-1]] ker[[]].

ListCorrelate[ker, list, klist, p] forms the correlation in which list is padded at each end with repetitions of the element p.

ListCorrelate[ker, list, klist, , , ... ] forms the correlation in which list is padded at each end with cyclic repetitions of the .

ListCorrelate[ker, list, klist, padding, g, h] forms a generalized correlation in which g is used in place of Times and h in place of Plus.

ListCorrelate[ker, list, klist, padding, g, h, lev] forms a correlation using elements at level lev in ker and list.

With kernel and list , ListCorrelate[ker, list] computes , where the limits of the sum are such that the kernel never overhangs either end of the list.

Example: ListCorrelate[x,y, a,b,c] .

For a one-dimensional list ListCorrelate[ker, list] is equivalent to ListConvolve[Reverse[ker], list].

For higher-dimensional lists, ker must be reversed at every level.

See notes for ListConvolve.

Settings for and are negated in ListConvolve relative to ListCorrelate.

Common settings for , in ListCorrelate are:

See The Mathematica Book: Section 3.8.4.

Implementation Notes: see section A.9.4.