Quincunx matrix

In mathematics, the matrix

\begin{pmatrix} 1 & -1 \\ 1 & 1 \end{pmatrix}

is often called the quincunx matrix. It is a 2×2 Hadamard matrix, and its rows form the basis of a diagonal square lattice consisting of the integer points whose coordinates both have the same parity; this lattice is a two-dimensional analogue of the three-dimensional body-centered cubic lattice.[1]

See also

Notes

  1. ^ Van De Ville, D.; Blu, T.; Unser, M. (2005), "On the multidimensional extension of the quincunx subsampling matrix", IEEE Signal Processing Letters 12 (2): 112–115, doi:10.1109/LSP.2004.839697, http://www.ee.cuhk.edu.hk/~tblu/monsite/pdfs/vandeville0501.pdf .