NMR Processing: Convolution: Sinc Filter

Function:
 

 
The figure shows the continuous example FIDs after sinc with GB = 0.3, SSB = 1 or GB = 0.3, SSB = 2, corresponding to datasets fid/111 and fid/112 in the download package.
The parameter GB is given as fraction of the acquisition time (similar to Gaussian multiplication), while SSB determines the number of nodes/ sidelobes of the sinc function.

Examples/Exercises:
 

Click on the figure to see how sinc with GB = 0.4, SSB = 1 and GB = 0.4, SSB =2 applied to the synthetic datasets synth/115 and synth/116 in the download package affects the spectrum. Note that there is some resolution enhancement, but SSB > 1 results in artefacts; the only sensible value for SSB is 1.

Properties/Purpose:

• modest resolution enhancement
• can be used for apodization
• with SSB = 1, the sinc is similar to a shifted sine bell, hence I would stick to the well known sine bell!

Literature:

• didn't find any applications
• however, an interesting article dealing with manifestations of the sinc function can be found here:
  Traficante, McGregor, Concepts Magn. Reson. 2002, 14, 308; doi:10.1002/cmr.10036