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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, {kL, kR}]
forms the cyclic correlation whose first element contains 
and whose last element contains 
.
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, {p1, p2, ...}]
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.
Details
- 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. - 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.
- Settings for
and 
are negated in ListConvolve relative to ListCorrelate. - Common settings for
in ListCorrelate are: -
{1,-1} no overhangs (default) {1,1} maximal overhang at the right-hand end {-1,-1} maximal overhang at the left-hand end {-1,1} maximal overhangs at both beginning and end
