OSA's Digital Library

Applied Spectroscopy

Applied Spectroscopy

| PUBLISHED BY SAS — AVAILABLE FROM SAS AND OSA

  • Vol. 52, Iss. 4 — Apr. 1, 1998
  • pp: 621–625

Signal Detection for Data Sets with a Signal-to-Noise Ratio of 1 or Less with the Use of a Moving Product Filter

H. G. Schulze, L. S. Greek, C. J. Barbosa, M. W. Blades, and R. F. B. Turner

Applied Spectroscopy, Vol. 52, Issue 4, pp. 621-625 (1998)


View Full Text Article

Acrobat PDF (225 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations
  • Export Citation/Save Click for help

Abstract

We report on a method to reduce background noise and amplify signals in data sets with low signal-to-noise ratios (SNRs). This method consists of taking a data set with mean 0 and normalized with respect to absolute value, adding 1 to all values to adjust the mean to 1, and then applying a moving product (MP) to the transformed data set (similar to the application of a moving average or 0-order Savitzky-Golay filtering). A data point in the presence of a signal raises the probability of that data point having a value 1, while the absence of a signal increases the probability of that data point having a value 1. If the autocorrelation lag of the signal is larger than the autocorrelation lag of the associated noise, the use of an MP with window comparable to that of the signal width (i.e., 2-3 times the signal standard deviation) will tend to reduce the values of data points where no signal is present and similarly amplify data points where signal is present. Signal amplification, often to a considerable degree, is gained at the cost of signal distortion. We have used this method on simulated data sets with SNRs of 1, 0.5, and 0.33, and obtained signal-to-background noise ratio (SBNR) enhancements in excess of 100 times. We have also applied this procedure to low SNR measured Raman spectra, and we discuss our findings and their implications. This method is expected to be useful in the detection of weak signals buried in strong background noise.

Citation
H. G. Schulze, L. S. Greek, C. J. Barbosa, M. W. Blades, and R. F. B. Turner, "Signal Detection for Data Sets with a Signal-to-Noise Ratio of 1 or Less with the Use of a Moving Product Filter," Appl. Spectrosc. 52, 621-625 (1998)
http://www.opticsinfobase.org/as/abstract.cfm?URI=as-52-4-621


Sort:  Journal  |  Reset

References

References are not available for this paper.

Cited By

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited