Truncated orthogonal expansions of recurrent signals: equivalence to a linear time-variant periodic filter

IEEE Transactions on Signal Processing

Volumn 47, Issue 11, 1999, Pages 3164-3172

  Olmos, S ^a   Garcia, J ^a   Laguna, P ^a  

^a UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

Data compression; Least mean squares methods; Transforms

Indexed keywords

ALGORITHMS; DATA COMPRESSION; ELECTROCARDIOGRAPHY; LEAST SQUARES APPROXIMATIONS;

KARHUNEN-LOEVE TRANSFORM;

DIGITAL SIGNAL PROCESSING;

EID: 0033222073     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.796456     Document Type: Article

References (26)

1. N. Ahmed and K. R. Rao, Orthogonal Transforms for Digital Signal Processing. Berlin/Heidelberg/New York: Springer-Verlag, 1975.
2. A. Gersho and R. M. Gray, Vector Quantization and Signal Compression. Boston, MA: Kluwer, 1992.
3. M. Vetterli and J. Kovacevic, Wavelets and Subband Coding. Englewood Cliffs, NJ: Prentice-Hall, 1995.
4. S. M. S. Jalaleddine, C. G. Hutchens, R. D. Strattan, and W. A. CoberlyECG data compresssion techniques: A unified approachIEEE Trans. Biomed. Eng., vol. 37, pp. 329-341, Apr. 1990.
5. W. Philips and G. D. JongheData compression of ECG's by high-degree polynomial approximationIEEE Trans. Biomed. Eng., vol. 39, pp. 330-337, 1992.
6. P. Laguna, G. Moody, J. Garcia, A. Goldberger, and R. MarkAnalysis of the ST-T complex of the electrocardiogram using the Karhunen-Loève transform: Adaptative monitoring and alternans detectionMed. Biol. Eng. Comput., vol. 37, pp. 175-189, 1999.
7. P. Clarkson and P. WhiteSimplified analysis of the LMS adaptive filter using a transfer function approximationIEEE Trans. Signal Processing, vol. ASSP-35, pp. 987-993, July 1987.
8. P. Laguna et al., "Adaptive filter for event-related bioelectric signals using an impulse correlated reference input: Comparison with signal averaging techniques IEEE Trans. Biomed. Eng., vol. 39, pp. 1032-1044, Oct. 1992.
9. P. M. Clarkson, Optimal and Adaptive Signal Processing. Boca Raton, EL: CRC, 1993.
10. P. Laguna, R. Jane, E. Masgrau, and P. CaminalThe adaptive linear combiner with a periodic-impulse reference input as a linear comb filterSignal Process., vol. 48, pp. 193-203, 1996.
11. S. Olmos, J. Garcia, R. Jane, and P. LagunaTruncated orthogonal expansions of recurrent signals: Equivalence to a periodic time-variant filterProc. IEEE Int. Conf. Acoust. Speech Signal Process., Seattle, WA, 1998, pp. 1709-1712.
12. J. A. CadzowSignal processing via least squares error modelingIEEE ASSP Mag., Oct. 1990.
13. C. W. Therrien, Discrete Random Signals and Statistical Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1992.
14. S. Haykin, Adaptive Filter Theory, 3rd ed. Englewood Cliffs, NJ: Prentice-Hall, 1996.
15. B. Widrow and S. D. Stearns, Adaptive Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1985.
16. C. Vaz, X. Kong, and N. V. ThakorAn adaptive estimation of periodic signals using a Fourier linear combinerIEEE Trans. Signal Processing, vol. 42, pp. 1-10, Jan. 1994.
17. P. Laguna, R. Jane, S. Olmos, N. V. Thakor, H. Rix, and P. CaminalAdaptive estimation of QRS complex by the Hermite model for classification and ectopic beat detectionMed. Biol. Eng. Comput., vol. 34, pp. 58-68, 1996.
18. G. Strang and T. Nguyen, Wavelets and Filter Banks. Wellesley, MA: Wellesley-Cambridge, 1996.
19. S. Olmos, M. Millân, J. Garcia, and P. LagunaECG data compression with the Karhunen-Loéve transformComputers in Cardiology. Menlo Park, CA: IEEE Comput. Soc. Press, 1996, pp. 253-256.
20. G. B. Moody and R. G. MarkThe MIT-BIH arrhythmia database on CD-ROM and software for use with itComputers in Cardiology. Menlo Park, CA: IEEE Comput. Soc. Press, 1990, pp. 185-188.
21. A. Taddei etal.The European ST-T database: Standards for evaluating systems for the analysis of ST-T changes in ambulatory electrocardigraphy Euro. Heart J., vol. 13, pp. 1164-1172, 1992.
22. N. V. Thakor, J. G. Webster, and W. J. TompkinsEstimation of QRS complex power spectrum for design of a QRS filterIEEE Trans. Biomed. Eng., vol. BME-31, pp. 702-706, Nov. 1984.
23. O. Pahlm and L. SörnmoSoftware QRS detection in ambulatory monitoring-A reviewMed. Biol. Eng. CompuL, vol. 22, pp. 289-297, 1984.
24. J. Pan and W. J. TompkinsA real-time QRS detection algorithmIEEE Trans. Biomed. Eng., vol. BME-32, pp. 230-236, Mar. 1985.
25. B. BradieWavelet package-based compression of single lead ECGIEEE Trans. Biomed. Eng., vol. 43, pp. 493-501, 1996.
26. J. Garcia et alComparative study of local and Karhunen-Loève based ST-T indexes in recordings from human subjects with induced myocardial ischemia Comput. Biomed. Res., vol. 31, pp. 271-292, Aug. 1998.