Multidimensional discrete convolution

In signal processing, multidimensional convolution refers to the mathematical operation between two functions f and g of n-dimensions that produces a third function, also of n-dimensions.

Definition

test ^[1]

Problem Statement & Basics

test ^[2]

Motivation & Applications

Row-Column Decomposition with Separable Signals

Separable Signals

Overlap and Add and Overlap and Save

The Helix Transform

References

1. Dudgeon, Dan; Mersereau, Russell (1983), Multidimensional Digital Signal Processing, Prentice-Hall
2. Dudgeon, Dan; Mersereau, Russell (1983), Multidimensional Digital Signal Processing, Prentice-Hall