Title :
Physical interpretation of signal reconstruction from reduced rank matrices
Author :
Dologlou, I. ; Carayannis, G.
Author_Institution :
Dept. of Electr. Eng., Nat. Tech. Univ. of Athens, Greece
fDate :
7/1/1991 12:00:00 AM
Abstract :
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
Keywords :
matrix algebra; signal processing; Toeplitz matrix; averaging operation; nonToeplitz observation matrix; reduced rank matrices; signal observation matrix; signal processing; signal reconstruction; Autocorrelation; Constraint optimization; Covariance matrix; Eigenvalues and eigenfunctions; Equations; Matrix decomposition; Signal generators; Signal reconstruction; Singular value decomposition; Spectral analysis;
Journal_Title :
Signal Processing, IEEE Transactions on
