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Title: Analysis of signals under compositional noise with applications to SONAR data

Abstract

In this paper, we consider the problem of denoising and classification of SONAR signals observed under compositional noise, i.e., they have been warped randomly along the x-axis. The traditional techniques do not account for such noise and, consequently, cannot provide a robust classification of signals. We apply a recent framework that: 1) uses a distance-based objective function for data alignment and noise reduction; and 2) leads to warping-invariant distances between signals for robust clustering and classification. We use this framework to introduce two distances that can be used for signal classification: a) a y-distance, which is the distance between the aligned signals; and b) an x-distance that measures the amount of warping needed to align the signals. We focus on the task of clustering and classifying objects, using acoustic spectrum (acoustic color), which is complicated by the uncertainties in aspect angles at data collections. Small changes in the aspect angles corrupt signals in a way that amounts to compositional noise. As a result, we demonstrate the use of the developed metrics in classification of acoustic color data and highlight improvements in signal classification over current methods.

Authors:
 [1];  [1];  [1]
  1. Florida State Univ., Tallahassee, FL (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
ONR; USDOE
OSTI Identifier:
1329617
Report Number(s):
SAND-2016-10053J
Journal ID: ISSN 0364-9059; 648092
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Accepted Manuscript
Journal Name:
IEEE Journal of Oceanic Engineering
Additional Journal Information:
Journal Volume: 39; Journal Issue: 2; Journal ID: ISSN 0364-9059
Publisher:
IEEE
Country of Publication:
United States
Language:
English
Subject:
47 OTHER INSTRUMENTATION; noise; measurement; acoustics; image color analysis; Sonar applications; robustness; SONAR; compositional noise; functional data analysis; random warping; spectral signal classification; signal registration

Citation Formats

Tucker, J. Derek, Wu, Wei, and Srivastava, Anuj. Analysis of signals under compositional noise with applications to SONAR data. United States: N. p., 2013. Web. doi:10.1109/JOE.2013.2254213.
Tucker, J. Derek, Wu, Wei, & Srivastava, Anuj. Analysis of signals under compositional noise with applications to SONAR data. United States. https://doi.org/10.1109/JOE.2013.2254213
Tucker, J. Derek, Wu, Wei, and Srivastava, Anuj. Tue . "Analysis of signals under compositional noise with applications to SONAR data". United States. https://doi.org/10.1109/JOE.2013.2254213. https://www.osti.gov/servlets/purl/1329617.
@article{osti_1329617,
title = {Analysis of signals under compositional noise with applications to SONAR data},
author = {Tucker, J. Derek and Wu, Wei and Srivastava, Anuj},
abstractNote = {In this paper, we consider the problem of denoising and classification of SONAR signals observed under compositional noise, i.e., they have been warped randomly along the x-axis. The traditional techniques do not account for such noise and, consequently, cannot provide a robust classification of signals. We apply a recent framework that: 1) uses a distance-based objective function for data alignment and noise reduction; and 2) leads to warping-invariant distances between signals for robust clustering and classification. We use this framework to introduce two distances that can be used for signal classification: a) a y-distance, which is the distance between the aligned signals; and b) an x-distance that measures the amount of warping needed to align the signals. We focus on the task of clustering and classifying objects, using acoustic spectrum (acoustic color), which is complicated by the uncertainties in aspect angles at data collections. Small changes in the aspect angles corrupt signals in a way that amounts to compositional noise. As a result, we demonstrate the use of the developed metrics in classification of acoustic color data and highlight improvements in signal classification over current methods.},
doi = {10.1109/JOE.2013.2254213},
journal = {IEEE Journal of Oceanic Engineering},
number = 2,
volume = 39,
place = {United States},
year = {2013},
month = {7}
}

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Works referencing / citing this record:

Elastic functional principal component regression
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