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In statistics, a random Vector is white if it has the following properties that the elements are uncorrelated and have unit variance. This corresponds to a flat power spectrum.


In ], a random vector is said to be "white" if it has the following properties: that the elements are uncorrelated and have unit variance. This corresponds to a flat ].


A vector can be '''whitened''' to remove these correlations. This is useful in various procedures such as ].
X_white = E * A' * X


== Whitening a signal ==
where X is the matrix to be wihtened, E is the column matrix of Eigenvectors and A' is the transposed diagonal matrix of eigenvalues.

:X_white = E * A' * X

where X is the matrix to be whitened, E is the column matrix of Eigenvectors and A' is the transposed diagonal matrix of eigenvalues.

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== See also ==
* ]

]
]
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Revision as of 12:36, 10 September 2004

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In statistics, a random vector is said to be "white" if it has the following properties: that the elements are uncorrelated and have unit variance. This corresponds to a flat power spectrum.

A vector can be whitened to remove these correlations. This is useful in various procedures such as data compression.

Whitening a signal

X_white = E * A' * X

where X is the matrix to be whitened, E is the column matrix of Eigenvectors and A' is the transposed diagonal matrix of eigenvalues.

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See also

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