Magnitude-mode multiple-derivative spectra for resolution enhancement without loss in signal-to-noise ratio in Fourier transform spectroscopy
✍ Scribed by Hyun Sik Kim; Alan G. Marshall
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 694 KB
- Volume
- 30
- Category
- Article
- ISSN
- 1076-5174
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✦ Synopsis
Abstract
An __n__th‐derivative Fourier transform complex spectrum, d^n^F(ω)/dω^n^, may be generated by multiplying at time‐domain signal by (−it)^n^ before Fourier transformation. The resolving power of the magnitude‐mode __n__th‐derivative spectrum, |d^n^F(ω)/dω^n^|, increases monotonically with increasing derivative order, but with concomitant decrease in signal‐to‐noise ratio. However, application of time‐domain exponential windowing can restore the signal‐to‐noise ratio. The combined derivatization–windowing process yields a magnitude‐mode __n__th‐derivative Fourier transform spectrum with significantly enhanced resolution near the peak base without loss in signal‐to‐noise ratio. A theoretical analysis of the trade‐off between resolving power and signal‐to‐noise ratio for magnitude‐mode __n__th‐derivative Fourier transform spectra as a function of time‐domain signal truncation, time‐domain windowing (exponential) and derivative order is presented. The method is demonstrated experimentally for Fourier transform ion cyclotron resonance mass spectra.