Filtering of infinite sets of stochastic signals: An approach based on interpolation techniques

Signal Processing

Volumn 91, Issue 11, 2011, Pages 2556-2566

  Torokhti, A ^a   Miklavcic, S J ^a  

^a UNIVERSITY OF SOUTH AUSTRALIA   (Australia)

Author keywords

Interpolation; Wiener type filtering

Indexed keywords

ASYMPTOTICALLY OPTIMAL; COMPUTATIONAL EFFORT; COMPUTATIONAL WORK; FILTER MODEL; FINITE SET; INTERPOLATION CONDITION; INTERPOLATION TECHNIQUES; MATRIX EQUATIONS; NEW THEORY; PSEUDO-INVERSES; RELATED MATRICES; SIGNAL INTERPOLATION; STOCHASTIC SIGNALS; WIENER-TYPE FILTERING;

INTERPOLATION; STOCHASTIC SYSTEMS;

TRANSFER MATRIX METHOD;

EID: 80955177149     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2011.05.008     Document Type: Article

References (24)

1. S.T. Alexander, and A.L. Ghimikar A method for recursive least squares filtering based upon an inverse QR decomposition IEEE Transactions on Signal Processing 41 1 1993 20 30
2. J.A. Apolinario, and M.D. Miranda Convential and inverse QRD-RLS algorithms J.A. Apolinario, QRD-RLS Adaptive Filtering 2009 Springer
3. T.L. Boullion, and P.L. Odell Generalized Inverse Matrices 1972 John Wiley & Sons, Inc. New York
4. J.H. Ferziger Numerical Methods for Engineering Applications 1999 Wiley New York
5. V.N. Fomin, and M.V. Ruzhansky Abstract optimal linear filtering SIAM Journal on Control and Optimization 38 2000 1334 1352
6. Y. Gao, M.J. Brennan, and P.F. Joseph A comparison of time delay estimators for the detection of leak noise signals in plastic water distribution pipes Journal of Sound and Vibration 292 35 2006 552 570
7. G.H. Golub, and C.F. Van Loan Matrix Computation third ed. 1996 Johns Hopkins University Press
8. K. Hayama, and M.-K. Fujimoto Monitoring non-stationary burst-like signals in an interferometric gravitational wave detector Classical and Quantum Gravity 8 2006
9. S. Haykin Adaptive Filter Theory fourth ed. 2002 Prentice-Hall Upper Saddle River, NJ
10. S. Jeona, G. Choa, Y. Huh, S. Jin, J. Park, Determination of a point spread function for a flat-panel X-ray imager and its application in image restoration, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 563(1) (2006) 167171, Proceedings of the Seventh International Workshop on Radiation Imaging Detectors - IWORID 2005.
11. A.N. Kolmogorov, and S.V. Fomin Elements of the Theory of Functions and Functional Analysis 1999 Dover New York
12. J. Manton, and Y. Hua Convolutive reduced rank Wiener filtering Proceedings of ICASSP'01 vol. 6 2001 4001 4004 (Pubitemid 32838498)
13. V.J. Mathews, and G.L. Sicuranza Polynomial Signal Processing 2001 John Wiley & Sons
14. L.I. Perlovsky, and T.L. Marzetta Estimating a covariance matrix from incomplete realizations of a random vector IEEE Transactions on Signal Processing 40 1992 2097 2100
15. G. Robert Redinbo Decoding real block codes: activity detection, Wiener estimation IEEE Transactions on Information Theory 46 2 2000 609 623
16. A.H. Sayed Adaptive Filters 2008 Wiley-Interscience, IEEE Press Hoboken, NJ
17. L.L. Scharf Statistical Signal Processing: Detection, Estimation, and Time Series Analysis 1990 Addison-Wesley Publishing Co. New York
18. A. Torokhti, and P. Howlett Method of recurrent best estimators of second degree for optimal filtering of random signals Signal Processing 83 5 2003 1013 1024
19. A.P. Torokhti, P.G. Howlett, and C. Pearce Optimal recursive estimation of raw data Annals of Operations Research 133 2005 285 302
20. A. Torokhti, and P. Howlett Optimal transform formed by a combination of nonlinear operators: the case of data dimensionality reduction IEEE Transactions on Signal Processing 54 4 2006 1431 1444
21. A. Torokhti, and P. Howlett Computational Methods for Modelling of Nonlinear Systems 2007 Elsevier
22. A. Torokhti, and P. Howlett Filtering and compression for infinite sets of stochastic signals Signal Processing 89 2009 291 304
23. A. Torokhti, and J. Manton Generic weighted filtering of stochastic signals IEEE Transactions on Signal Processing 57 12 2009 4675 4685
24. A. Torokhti, and S. Miklavcic Data compression under constraints of causality and variable finite memory Signal Processing 90 10 2010 2822 2834