Physical interpretation of signal reconstruction from reduced rank matrices

An enhanced version of a signal is obtained after subtraction of a linear combination of rank one matrices from the signal observation matrix. This operation results in a nonToeplitz observation matrix. By averaging the elements of this matrix, a new Toeplitz matrix is produced and a reconstructed s...

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Veröffentlicht in:	IEEE transactions on signal processing 1991-07, Vol.39 (7), p.1681-1682
Hauptverfasser:	Dologlou, I., Carayannis, G.
Format:	Artikel
Sprache:	eng
Schlagworte:	Autocorrelation Constraint optimization Covariance matrix Eigenvalues and eigenfunctions Equations Matrix decomposition Signal generators Signal reconstruction Singular value decomposition Spectral analysis
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Beschreibung
Zusammenfassung:	An enhanced version of a signal is obtained after subtraction of a linear combination of rank one matrices from the signal observation matrix. This operation results in a nonToeplitz observation matrix. By averaging the elements of this matrix, a new Toeplitz matrix is produced and a reconstructed signal is generated. This averaging operation is examined, and physical interpretations are given.< >
ISSN:	1053-587X 1941-0476
DOI:	10.1109/78.134407