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Noise Variance Estimation In Signal Processing

Makovoz, David (2007) Noise Variance Estimation In Signal Processing. In: 2006 IEEE International Symposium on Signal Processing and Information Technology. IEEE , Piscataway, NJ, pp. 364-369. ISBN 978-0-7803-9753-8. https://resolver.caltech.edu/CaltechAUTHORS:20110225-102806827

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Abstract

We present a new method of estimating noise variance. The method is applicable for 1D and 2D signal processing. The essence of this method is estimation of the scatter of normally distributed data with high level of outliers. The method is applicable to data with the majority of the data points having no signal present. The method is based on the shortest half sample method. The mean of the shortest half sample (shorth) and the location of the least median of squares are among the most robust measures of the location of the mode. The length of the shortest half sample has been used as the measurement of the data scatter of uncontaminated data. We show that computing the length of several sub samples of varying sizes provides the necessary information to estimate both the scatter and the number of uncontaminated data points in a sample. We derive the system of equations to solve for the data scatter and the number of uncontaminated data points for the Gaussian distribution. The data scatter is the measure of the noise variance. The method can be extended to other distributions.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/ISSPIT.2006.270827 DOIUNSPECIFIED
http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4042269PublisherUNSPECIFIED
Additional Information:© 2006 IEEE. Issue Date: Aug. 2006. Date of Current Version: 29 January 2007.
Subject Keywords:noise variance estimation; nonlinear filters; robust estimation; scatter estimation
Other Numbering System:
Other Numbering System NameOther Numbering System ID
INSPEC Accession Number9387924
DOI:10.1109/ISSPIT.2006.270827
Record Number:CaltechAUTHORS:20110225-102806827
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20110225-102806827
Official Citation:David Makovoz; , "Noise Variance Estimation In Signal Processing," Signal Processing and Information Technology, 2006 IEEE International Symposium on , vol., no., pp.364-369, Aug. 2006 doi: 10.1109/ISSPIT.2006.270827 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4042269&isnumber=4042195
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:22518
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:25 Feb 2011 21:50
Last Modified:09 Nov 2021 16:05

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