Bounds on the degree of impropriety of complex random vectors

Title: Bounds on the degree of impropriety of complex random vectors
Creator: Schreier, Peter J.
Relation: IEEE Signal Processing Letters Vol. 15, p. 190-193
Publisher Link: http://dx.doi.org/10.1109/LSP.2007.913134
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: journal article
Date: 2008
Description: A complex random vector is called improper if it is correlated with its complex conjugate. We introduce a measure for the degree of impropriety, which is a function of the canonical correlations between the vector and its complex conjugate (sometimes called the circularity spectrum). This measure is invariant under linear transformation, and it relates the entropy of an improper Gaussian random vector to its corresponding proper version. For vectors with given spectrum, we present upper and lower bounds on the attainable degree of impropriety, in terms of the eigenvalues of the augmented covariance matrix.
Subject: canonical correlations; circularity spectrum; improper complex random vector; noncircular random vector; strong uncorrelating transform; widely linear transformation
Identifier: http://hdl.handle.net/1959.13/38999
Identifier: uon:4398
Identifier: ISSN:1070-9908
Language: eng
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