Spectrum estimation by wavelet thresholding of multitaper estimators

IEEE Transactions on Signal Processing

Volumn 46, Issue 12, 1998, Pages 3153-3165

  Waiden, Andrew T ^a   Percival, Donald B ^b   McCoy, Emma J ^c  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b UNIVERSITY OF WASHINGTON   (United States)

^c Parametric Technology Corporation   (United States)

Author keywords

Estimation; Spectral analysis; Statistics; Time series; Wavelet transforms

Indexed keywords

COMPUTER SIMULATION; ESTIMATION; SPECTRUM ANALYSIS; STATISTICS;

GAUSSIAN DISTRIBUTION;

WAVELET TRANSFORMS;

EID: 0032290298     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.735293     Document Type: Article

References (22)

1. M. S. Bartlett and D. G. Kendall, "The statistical analysis of varianceheterogeneity and the logarithmic transformation," Suppl. J. R. Statist. Soc., vol. 8, pp. 128-138, 1946.
2. I. Daubechies, Ten Lectures on Wavelets. Philadelphia, PA: SIAM, 1992.
3. D. L. Donoho and I. M. Johnstone, "Ideal spatial adaptation by wavelet shrinkage," Biometrika, vol. 81, pp. 425-455, 1994.
4. D. L. Donoho, I. M. Johnstone, G. Kerkyacharian, and D. Picard, "Wavelet shrinkage: Asymptopia? (with discussion)," J. R. Statist. Soc. B, vol. 57, pp. 301-369, 1995.
5. W. A. Fuller, Introduction to Statistical Time Series, 2nd ed. New York: Wiley, 1996.
6. H.-Y. Gao, "Wavelet estimation of spectral densities in time series analysis," Ph.D. dissertation, Dept. Stat., Univ. California, Berkeley, 1993.
7. _, "Choice of thresholds for wavelet shrinkage estimate of the spectrum," J. Time Series Anal., vol. 18, pp. 231-251, 1997.
8. C. W. J. Granger and M. Hatanaka, Spectral Analysis of Economic Time Series. Princeton, NJ: Princeton Univ. Press, 1964.
9. I. M. Johnstone and B. W. Silverman, "Wavelet threshold estimators for data with correlated noise," J. R. Statist. Soc. B, vol. 59, pp. 319-351, 1997.
10. S. M. Kay, "Efficient generation of colored noise," Proc. IEEE, vol. 69, pp. 480-81, 1981.
11. C. Kuo, C. Lindberg, and D. J. Thomson, "Coherence established between atmospheric carbon dioxide and global temperature," Nature, vol. 343, pp. 709-714, 1990.
12. S. G. Mallat, "A theory for multiresolution signal decomposition: The wavelet representation," IEEE Trans. Pattern Anal. Machine Intel!., vol. 11, pp. 674-693, 1989.
13. E. J. McCoy and A. T. Waiden, "Wavelet analysis and synthesis of stationary long-memory processes," J. Comput. Graph. Stat., vol. 5, pp. 26-56, 1996
14. P. Moulin, "Wavelet thresholding techniques for power spectrum estimation," IEEE Trans. Signal Processing, vol. 42, pp. 3126-3136, Dec. 1994.
15. G. P. Nason, "Wavelet shrinkage using cross-validation," J. R. Statist. Soc. B, vol. 58, pp. 463-79, 1996.
16. A. Papoulis, Probability, Random Variables, and Stochastic Processes. New York: McGraw-Hill, 1991.
17. D. B. Percival, "Simulating Gaussian random processes with specified spectra," Comput. Sei. Stat., vol. 24, pp. 534-538, 1992.
18. D. B. Percival and A. T. Waiden, Spectral Analysis for Physical Applications. Cambridge, U.K.: Cambridge Univ. Press, 1993.
19. M. B. Priestley, Spectral Analysis and Time Series. London, U.K.: Academic, 1981.
20. K. S. Riedel and A. Sidorenko, "Minimum biased multitaper spectral estimation," IEEE Trans. Signal Processing, vol. 43, pp. 188-195, 1995.
21. D. J. Thomson, "Spectrum estimation and harmonic analysis," Proc. IEEE, vol. 70, pp. 1055-1096, 1982.
22. A. T. Waiden, E. J. McCoy, and D. B. Percival, "The effective bandwidth of a multitaper spectral estimator," Biometrika, vol. 82, pp. 201-214, 1995.