Multiple Signals in Nuclear Magnetic Resonance

parameters of signal

acquisition time

2

number of data points

50

c

1

amplitude

0.25

c

1

frequency

1

c

1

relaxation

2

c

2

amplitude

0.25

c

2

frequency

0.2

c

2

relaxation

2

c

3

amplitude

0.25

c

3

frequency

-1

c

3

relaxation

2

window functions

exponential apodization

0

Gaussian apodization (variance)

4

Gaussian variance (shift)

0

sine function (period)

0

sine function (shift)

0

free induction decay

frequency spectrum

The fast Fourier transform (FFT) plays a crucial role in advanced nuclear magnetic resonance (NMR) spectroscopy. We show here how multiple signals are transformed for NMR.Three signals of different frequencies are considered. The free induction decay (FID) contains all three components and three peaks can be seen in the spectrum window. Such spectra closely resemble actual NMR experiments, with signal components of different frequencies usually arising from chemical shifts.