A Functional Data-Analytic Approach to Signal Discrimination
Date
2001
Authors
Hall, Peter
Poskitt, Donald S
Presnell, Brett
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Volume Title
Publisher
American Statistical Association
Abstract
Motivated by specific problems involving radar-range profiles, we suggest techniques for real-time discrimination in the context of signal analysis. The key to our approach is to regard the signals as curves in the continuum and employ a functional data-analytic (FDA) method for dimension reduction, based on the FDA technique for principal coordinates analysis. This has the advantage, relative to competing methods such as canonical variates analysis, of providing a signal approximation that is best possible, in an L2 sense, for a given dimension. As a result, it produces particularly good discrimination. We explore the use of both nonparametric and Gaussian-based discriminators applied to the dimension-reduced data.
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Keywords
Keywords: Estimation; Radar; Signal processing; Basis functions; Functional data analysis; Statistical methods
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Source
Technometrics
Type
Journal article
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2037-12-31
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