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⚫ | In statistics, a random |
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⚫ | 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 |
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⚫ | :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. | ||
{{stub}} | |||
== See also == | |||
* ] | |||
] | |||
] | |||
] |
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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