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Modern Spectrum Analysis in NMR

Modern Spectrum Analysis in NMR

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S i<br />

(f 1<br />

,f 2<br />

,f 3<br />

) = s i<br />

(f 1<br />

) ⊗ s i<br />

(f 2<br />

) ⊗ s i<br />

(f 3<br />

)<br />

Also known as PARAFAC; PCA is a 2D equivalent<br />

€<br />

Billeter, Orekhov et al.<br />

(Denk & Wagner;<br />

R<strong>in</strong>aldi et al.)<br />

Less restrictive than the exponential decay assumption<br />

Random noise does not have a decomposition<br />

Unique decomposition restricted to 3+ dimensions

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