Quincunx matrix
From HandWiki
Short description: 2x2 matrix with 1 and -1 coefficients
In mathematics, the matrix
- [math]\displaystyle{ \begin{pmatrix} 1 & -1 \\ 1 & 1 \end{pmatrix} }[/math]
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]
See also
Notes
- ↑ 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.
Original source: https://en.wikipedia.org/wiki/Quincunx matrix.
Read more |