Signal-to-Noise Ratio Enhancement of Spectra using Recursive Integration

A recursive algorithm independent of any functional peak shape is presented for determining optimal integration limits of spectral data from multiwavelength spectrometers. The resulting areas have significantly higher signal-to-noise ratios than the peak maxima. Signal-to-noise ratios are computed for synthetic data with both shot and white noise limitations. The algorithm is also applied to data from a Fourier transform spectrometer. For these data, integration of 25 adjacent spectral elements improves the signal-to-noise ratio as well as the signal averaging peak maxima from 25 successive spectra.

[1]  J. Phillips.  Comments on improvement of the limit of detection in chromatography by an integration method , 1986 .

[2]  G. Horlick,et al.  Signal-to-Noise Ratio Characteristics of an Inductively Coupled Plasma/Fourier Transform Spectrometer , 1986 .

[3]  Edward S. Yeung,et al.  Improvement of the limit of detection in chromatography by an integration method , 1985 .

[4]  E. A. Stubley,et al.  Measurement of Inductively Coupled Plasma Emission Spectra Using a Fourier Transform Spectrometer , 1985 .

[5]  H. Smit,et al.  Optimal peak area determination in the presence of noise , 1985 .

[6]  L. Faires.  Effects of sample matrix on detection limits in analytical inductively coupled plasma-Fourier transform spectrometry , 1985 .

[7]  D. Littlejohn,et al.  Novel instrument design in atomic spectroscopy , 1985 .

[8]  W. Slavin,et al.  Signal processing and detection limits for graphite furnace atomic absorption with Zeeman background correction , 1985 .

[9]  S. Gerstenkorn,et al.  Fourier transform spectroscopy in the visible and ultraviolet range. , 1978, Applied optics.

[10]  T. L. Chester,et al.  Theoretical comparison of the signal-to-noise ratios of Fourier transform spectrometry with single slit linear and slewed scan spectrometric methods for the photon noise limited situation , 1976 .

[11]  D. J. Johnson,et al.  A comparison of signal-to-noise ratios for single channel methods (sequential and multiplex) vs multichannel methods in optical spectroscopy☆ , 1976 .