Generalized multivariate analysis of variance - A unified framework for signal processing in correlated noise Dogandžić, Aleksandar Nehorai, Arye Dogandžić, Aleksandar
dc.contributor.department Electrical and Computer Engineering 2018-02-14T00:54:40.000 2020-06-30T02:02:03Z 2020-06-30T02:02:03Z Wed Jan 01 00:00:00 UTC 2003 2014-04-30 2003-09-01
dc.description.abstract <p>Generalized multivariate analysis of variance (GMANOVA) and related reduced-rank regression are general statistical models that comprise versions of regression, canonical correlation, and profile analyses as well as analysis of variance (ANOVA) and covariance in univariate and multivariate settings. It is a powerful and, yet, not very well-known tool. We develop a unified framework for explaining, analyzing, and extending signal processing methods based on GMANOVA. We show the applicability of this framework to a number of detection and estimation problems in signal processing and communications and provide new and simple ways to derive numerous existing algorithms. Many of the methods were originally derived "from scratch", without knowledge of their close relationship with the GMANOVA model. We explicitly show this relationship and present new insights and guidelines for generalizing these methods. Our results could inspire applications of the general framework of GMANOVA to new problems in signal processing. We present such an application to flaw detection in nondestructive evaluation (NDE) of materials. A promising area for future growth is image processing.</p>
dc.description.comments <p>This is a post-print of an article from <em>IEEE Signal Processing Magazine </em>20 (2003): 39–54, doi:<a href="" target="_blank">10.1109/MSP.2003.1236771</a>. Posted with permission.</p>
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dc.identifier archive/
dc.identifier.articleid 1003
dc.identifier.contextkey 5540139
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath ece_pubs/11
dc.language.iso en
dc.source.bitstream archive/|||Fri Jan 14 18:33:33 UTC 2022
dc.source.uri 10.1109/MSP.2003.1236771
dc.subject.disciplines Signal Processing
dc.subject.keywords Correlation methods
dc.subject.keywords Flaw detection
dc.subject.keywords Nondestructive testing
dc.subject.keywords Parameter estimation
dc.subject.keywords Signal detection
dc.subject.keywords Signal processing
dc.subject.keywords Statistical analysis
dc.title Generalized multivariate analysis of variance - A unified framework for signal processing in correlated noise
dc.type article
dc.type.genre article
dspace.entity.type Publication
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