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Journal ArticleDOI

Hartley transform ion cyclotron resonance mass spectrometry.

Christopher P. Williams, +1 more
- 01 Mar 1989 - 
- Vol. 61, Iss: 5, pp 428-431
TLDR
The Hartley transform offers a useful alternative to the Fourier transform for the conversion of a time-domain ion cyclotron resonance (ICR) signal into its corresponding frequency-domain mass spectrum, making the FHT equivalent in speed to a "real" FFT.
Abstract
The Hartley transform offers a useful alternative to the Fourier transform for the conversion of a time-domain ion cyclotron resonance (ICR) signal into its corresponding frequency-domain mass spectrum. The Hartley transform has the advantage that it eliminates the need for complex variables, when (as for linearly polarized signals) the time-domain signal can be represented by a mathematically real function. Moreover, the Hartley transform produces the same spectra (absorption mode, dispersion mode, magnitude mode) as does the Fourier transform. In particular, the discrete fast Hartley transform (FHT) produces the same spectrum at twice the speed of a complex fast Fourier transform (FFT), making the FHT equivalent in speed to a "real" FFT. Hartley and Fourier transform methods in ICR mass spectrometry are compared and demonstrated experimentally. Essentially the same advantages and computational methods should apply to the use of the Hartley transform in place of the Fourier transform in other forms of spectrometry (e.g., nuclear magnetic resonance, infrared, etc.).

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Citations
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Journal ArticleDOI

Fourier transform ion cyclotron resonance mass spectrometry: A primer

TL;DR: This review offers an introduction to the principles and generic applications of FT-ICR mass spectrometry, directed to readers with no prior experience with the technique, and lists accurate fundamental constants needed for ultrahigh-precision analysis.
Journal ArticleDOI

Milestones in fourier transform ion cyclotron resonance mass spectrometry technique development

TL;DR: The present range and power of Fourier transform ion cyclotron resonance mass spectrometry rest on a number of prior technique developments as mentioned in this paper, which can resolve and identify up to thousands of components of a complex mixture, often without prior wet chemical separation, thereby potentially changing the whole approach to dealing with chemical and biological complexity.
Journal ArticleDOI

Fourier transform ion cyclotron resonance detection: principles and experimental configurations

TL;DR: In this article, the Fourier transform ion cyclotron resonance mass spectrometry (FT-ICR) was used for image current detection of coherently excited ICR motion, and the detected signal magnitude and peak shape may be understood from idealized behavior: single ion, zero-pressure, spatially uniform magnetic field, three-dimensional axial quadrupolar electrostatic trapping potential, and spatially, uniform resonant alternating electric field.
Journal ArticleDOI

Fourier transform ion cyclotron resonance mass spectrometry: technique developments

TL;DR: In this paper, the authors describe several new ion sources for FT-ICR MS (e.g., high pressure, fast neutral beam, and continuous flow atom bombardment), various new ion traps employing screens, and guard wires for improved isotopic abundance accuracy.
References
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Journal ArticleDOI

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Journal ArticleDOI

Fourier transform ion cyclotron resonance mass spectrometry

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Journal ArticleDOI

The fast Fourier transform algorithm: Programming considerations in the calculation of sine, cosine and Laplace transforms☆

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Journal ArticleDOI

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