Some algebraic relations between involutions, convolutions, and correlations, with applications to holographic memories
Some of the basic definitions of the convolution and correlation operation are reviewed. The non-commutativity and non-associativity of the correlation are avoided by introducing a simple involution (which consists in reversing the order of the elements). It is shown that in the finite case, convolutions and correlations can be computed as standard matrix products. Some implications for holographic memory models are discussed.
scientific article; zbMATH DE number 4039704