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In [[mathematics]], the [[matrix (mathematics)|matrix]]
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: <math>\begin{pmatrix}
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  1 & -1 \\
  1 & 1
\end{pmatrix}</math>
 
is sometimes called the '''quincunx matrix'''. It is a 2&times;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 (mathematics)|parity]]; this lattice is a two-dimensional analogue of the three-dimensional [[cubic crystal system|body-centered cubic lattice]].<ref>{{citation|title=On the multidimensional extension of the quincunx subsampling matrix|last1= Van De Ville|first1= D. |last2= Blu|first2= T. |last3=Unser|first3= M.|journal=IEEE Signal Processing Letters|volume=12|issue=2|year=2005|pages=112–115|doi=10.1109/LSP.2004.839697|url=http://www.ee.cuhk.edu.hk/~tblu/monsite/pdfs/vandeville0501.pdf}}.</ref>
 
==See also==
*[[Quincunx]]
 
==Notes==
{{reflist}}
 
[[Category:Matrices]]
 
 
{{Linear-algebra-stub}}

Latest revision as of 13:45, 9 November 2014

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