Signal restoration via the regularized constrained total least squares

Signal Processing

Volumn 71, Issue 1, 1998, Pages 85-93

  Younan, N H ^a   Fan, X ^b,c  

^a MISSISSIPPI STATE UNIVERSITY   (United States)

^b DSC Communications   (United States)

^c TEXAS INSTRUMENTS   (United States)

Author keywords

Deconvolution; Noise reduction; Signal restoration

Indexed keywords

CONSTRAINT THEORY; ERROR ANALYSIS; LEAST SQUARES APPROXIMATIONS;

REGULARIZED CONSTRAINED TOTAL LEAST-SQUARES; SIGNAL RESTORATION;

SIGNAL PROCESSING;

EID: 0032203955     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-1684(98)00136-4     Document Type: Article

References (11)

1. T.J. Abatzoglou, J.M. Mendel, G.A. Harada, The constrained total least-squares technique and its applications to harmonic superresolution, IEEE Trans. Signal Process. 39 (5) (May 1991) 1070-1087.
2. A. Edelman, Eigenvalues and conditions numbers of random matrices, SIAM J. Matrix Anal. Appl. 9 (4) (October 1988) 543-560.
3. X. Fan, The constrained total least squares with regularization and its use in ill-conditioned signal restoration, Ph.D. Dissertation, Mississippi State University, December 1992.
4. X. Fan, N.H. Younan, C.D. Taylor, A perturbation analysis of the regularized constrained total least squares, IEEE Trans. Circuits Systems II: Analog Digital Signal Process. 43 (2) (February 1996) 140-142.
5. R. Fletcher, Practical Methods of Optimization, Wiley, New York, 1987.
6. G.H. Golub, C.F. Van Loan, An analysis of the total least-squares problem, SIAM J. Numer. Anal. 17 (1980) 883-893.
7. P.C. Hansen, Truncated singular value decomposition solution to discrete ill-posed problem with ill-determined numerical rank, SIAM J. Statist. Comput. 11 (3) (1990) 503-518.
8. P. Muller, Least-squares characterization of improved estimation function, Comput. Statis. Quart. 3 (1990).
9. S.M. Riad, The deconvolution problem: an overview, Proc. IEEE 74 (1) (January 1986).
10. B.J. Sullivan, Ill-conditioned signal restoration and the conjugate gradient method, in: Proc. IEEE Internat. Conf. on Acoustics, Speech, and Signal Processing, 1990, pp. 1213-1216.
11. H.J. Trussell, A priori knowledge in algebraic reconstruction methods, in: T. S. Huang (Ed.), Advances in Computer Vision and Image Processing, JAI Press, Greenwich, 1984.