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en>Andjoely Added relationship to ABCD parameters |
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In [[mathematics]], the [[matrix (mathematics)|matrix]] | |||
: <math>\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 (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}} | |||
Revision as of 03:05, 13 January 2014
In mathematics, the matrix
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
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