TY - JOUR
T1 - Statististics of the SK estimator
AU - Nita, Gelu
AU - Gary, Dale
N1 - Publisher Copyright:
© 2010 ? Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence. All rights reserved.s to Pearson Type IV when the number of time-domain samples is M ≥ 46. The PDF and CF are determined for this case also.
PY - 2010
Y1 - 2010
N2 - Spectral Kurtosis (SK) is a statistical approach for detecting and removing radio frequency inter- ference (RFI) in radio astronomy data. In this study, the statistical properties of the SK estimator are investigated and all moments of its probability density function are analytically determined. These moments provide a means to determine the tail probabilities of the estimator that are es- sential to defining the thresholds for RFI discrimination. It is shown that, for a number of ac- cumulated spectra M ≥ 24, the first SK standard moments satisfy the conditions required by a Pearson Type IV probability density function (PDF), which is shown to accurately reproduce the observed distributions. The cumulative function (CF) of the Pearson Type IV is then found, in both analytical and numerical forms, suitable for accurate estimation of the tail probabilities of the SK estimator.
AB - Spectral Kurtosis (SK) is a statistical approach for detecting and removing radio frequency inter- ference (RFI) in radio astronomy data. In this study, the statistical properties of the SK estimator are investigated and all moments of its probability density function are analytically determined. These moments provide a means to determine the tail probabilities of the estimator that are es- sential to defining the thresholds for RFI discrimination. It is shown that, for a number of ac- cumulated spectra M ≥ 24, the first SK standard moments satisfy the conditions required by a Pearson Type IV probability density function (PDF), which is shown to accurately reproduce the observed distributions. The cumulative function (CF) of the Pearson Type IV is then found, in both analytical and numerical forms, suitable for accurate estimation of the tail probabilities of the SK estimator.
UR - http://www.scopus.com/inward/record.url?scp=85055479077&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85055479077&partnerID=8YFLogxK
M3 - Conference article
AN - SCOPUS:85055479077
SN - 1824-8039
VL - 107
JO - Proceedings of Science
JF - Proceedings of Science
T2 - 2010 RFI Mitigation Workshop, RFI 2010
Y2 - 29 March 2010 through 31 March 2010
ER -