alihashmiii / autocorrelation-and-crosscorrelations

1D and 2D auto/cross correlations in wolfram

Auto/Cross-correlations

This repository implements the auto/cross correlations in the Wolfram Language from built-in functions, namely the AbsoluteCorrelationFunction, CorrelationFunction, ListCorrelate and the ImageCorrelate functions. The CorrelationFunction can be used to determine the autocorrelation for a vector or TemporalData. The ListCorrelate function can be used to compute the n-Dimensional autocorrelation and crosscorrelation of signal(s). ImageCorrelate returns the correlation of an image given a kernel (it yields autocorrelation if the kernel is the image itself).

Below we explore the use of autocorrelation to find spatial distances separating gaussians.

@Author: Ali Hashmi

Random Gaussians

Gaussians in a Line

Uniform Gaussians in a Line