Modern Spectrum Analysis in NMR
Modern Spectrum Analysis in NMR
Modern Spectrum Analysis in NMR
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• Exactly <strong>in</strong>vertible: iDFT <br />
• L<strong>in</strong>ear: DFT(A+B) = DFT(A) + DFT(B)<br />
implies S/N ∝<br />
N<br />
• Assumes signal is periodic (period = NΔt)<br />
• Efficient algorithms: FFT (~NlogN operations)<br />
(Cooley & Tukey, 1965)