Quincunx matrix

In mathematics, the matrix

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

is sometimes 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]

Notes

^ Van De Ville, D.; Blu, T.; Unser, M. (2005), "On the multidimensional extension of the quincunx subsampling matrix" (PDF), IEEE Signal Processing Letters, 12 (2): 112–115, CiteSeerX 10.1.1.649.9329, doi:10.1109/LSP.2004.839697.

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[1] Van De Ville, D.; Blu, T.; Unser, M. (2005), "On the multidimensional extension of the quincunx subsampling matrix" (PDF), IEEE Signal Processing Letters, 12 (2): 112–115, CiteSeerX 10.1.1.649.9329, doi:10.1109/LSP.2004.839697.

[1]

Quincunx matrix

See also

Notes