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arxiv: 0807.2378 · v2 · submitted 2008-07-15 · ⚛️ physics.data-an · physics.med-ph

Spectral Density of Sample Covariance Matrices of Colored Noise

classification ⚛️ physics.data-an physics.med-ph
keywords noisecoloredcovariancedensitysignalspectralcelebrateddemonstrate
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We study the dependence of the spectral density of the covariance matrix ensemble on the power spectrum of the underlying multivariate signal. The white noise signal leads to the celebrated Marchenko-Pastur formula. We demonstrate results for some colored noise signals.

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