β Scribed by Gray, B. M.
No coin nor oath required. For personal study only.
A simple statistical test is proposed for matching the peaks occurring in two spectra, and an application to rainfall data is described. By comparing the spectra of related variables, small peaks in the rainfall spectra are shown to contain information. However regularities in the occurrence of minima and maxima in climatological spectra can be explained by non-linearities in the noise portion of the input data.
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A general theory of signal-to-noise ratio (SNR) in simultaneous acquisition of spatial harmonics (SMASH) imaging is presented, and the predictions of the theory are verified in imaging experiments and in numerical simulations. In a SMASH image, multiple lines of k-space are generated simultaneously
Using random matrix technique we determine an exact relation between the eigenvalue spectrum of the covariance matrix and of its estimator. This relation can be used in practice to compute eigenvalue invariants of the covariance (correlation) matrix. Results can be applied in various problems where
Using Random Matrix Theory one can derive exact relations between the eigenvalue spectrum of the covariance matrix and the eigenvalue spectrum of its estimator (experimentally measured correlation matrix). These relations will be used to analyze a particular case of the correlations in financial ser
The high frequency k-space data in magnetic resonance imaging clinical field strengths of 1.5 T, 3D proton MRI of large is often poorly reproduced due to the finite dynamic range of an volumes can have k-space signal-to-noise ratios which exanalog-to-digital converter. The magnitude of this digitiza