A Bayesian Approach to the Restoration of Degraded Audio Signals

IEEE Transactions on Speech and Audio Processing

Volumn 3, Issue 4, 1995, Pages 267-278

  Godsill, Simon J ^a   Rayner, Peter J W ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BINARY SEQUENCES; DEFECTS; DIGITAL SIGNAL PROCESSING; INTERPOLATION; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PROBABILITY; REAL TIME SYSTEMS; REGRESSION ANALYSIS; SIGNAL DETECTION; WHITE ACOUSTIC NOISE;

BAYESIAN METHOD; DIGITAL AUDIO RESTORATION; POSTERIORI PROBABILITY;

ACOUSTIC SIGNAL PROCESSING;

EID: 0029344205     PISSN: 10636676     EISSN: None     Source Type: Journal    
DOI: 10.1109/89.397091     Document Type: Article

References (26)

1. T. G. Stockham, T. M. Cannon, and R. B. Ingebretsen, “Blind decon-volution through digital signal processing,” Proc. IEEE, vol. 63, no. 4, pp. 678-692, Apr. 1975.
2. S. V. Vaseghi and R. Frayling-Cork, “Restoration of old gramophone recordings,” J. Audio Eng. Soc., vol. 40, no. 10, Oct. 1992.
3. S. J. Godsill and P. J. W. Rayner, “A Bayesian approach to the detection and correction of bursts of errors in audio signals,” in Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing, San Francisco, 1992, vol. 2, pp. 261-264.
4. S. J. Godsill, “The restoration of degraded audio signals,” Ph.D. Thesis, Univ. of Cambridge, Dec. 1993.
5. “Recursive restoration of pitch variation defects in musical recordings,” in Proc. IEEE Conf. Acoust., Speech Signal Processing, Adelaide, 1994.
6. J. C. Valiere, “La restauration denregistrements anciens par traitement Numérique-contribution a létude de quelques techniques récentes,” Ph.D. Thesis, Université du Maine, 1991.
7. S. V. Vaseghi and P. J. W. Rayner, “A new application of adaptive filters for restoration of archived gramophone recordings,” in Proc. IEEE Int. Conf. Acoust., Speech Signal Processing, 1988 pp. 2548-2551.
8. A. J. Efron and H. Jeen. “Pre-whitening for detection in correlated plus impulsive noise,” in Proc. IEEE Int. Conf. Acoust., Speech Signal Processing, 1992, pp. 469-472, vol. 2.
9. K. Arakawa, D. H. Fender, H. Harashima, H. Miyakawa, and Y. Saitoh, “Separation of a nonstationary component from the EEG by a nonlinear digital filter,” IEEE Trans. Biomed. Eng., vol. 33 no. 7, pp. 724-726, 1986.
10. H. Jeffreys, Theory of Probability. Oxford, UK: Oxford University Press, 1939.
11. G. E. P. Box and G. C. Tiao, Bayesian Inference in Statistical Analysis. Reading, MA: Addison-Wesley, 1973.
12. R. O. Duda and P. E. Hart, Pattern Classification and Scene Analysis. New York: Wiley, 1973.
13. G. E. P. Box and G. C. Tiao, “A Bayesian approach to some outlier problems,” Biometrika, vol. 55 pp. 119-129, 1968.
14. I. Guttman, R. Dutter, and P. R. Freeman. “Care and handling of univariate outliers in the general linear model to detect spuriosity A Bayesian approach,” Technometrics, vol. 20 no. 2 pp. 187-193, May 1978.
15. B. Abraham and G. E. P. Box, “Bayesian analysis of some outlier problems in time series,” Biometrika, vol. 66 no. 2 pp. 229-236, 1979.
16. A. F. M. Smith, “A Bayesian approach to inference about a change-point in a sequence of random variables,” Biometrika, vol. 62 pp. 407-416, 1975.
17. J. Makhoul, “Linear prediction: A tutorial review,” Proc. IEEE, vol. 63 no. 4 pp. 561-580, 1975.
18. G. E. P. Box and G. M. Jenkins, Time Series Analysis, Forecasting and Control. San Fransisco: Holden-Day, 1970.
19. A. Papoulis, Probability, Random Variables and Stochastic Processes. New York: McGraw Hill, 1984, 2nd ed.
20. R. Veldhuis, Restoration of Lost Samples in Digital Signals. Englewood Cliffs, NJ: Prentice-Hall, 1990.
21. S. Haykin, Adaptive Filter Theory. Englewood Cliffs, NJ: Prentice-Hall, 1991, 2nd ed.
22. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vettereling, Numerical Recipes in C. Cambridge, UK: Cambridge University Press, 1992, 2nd ed.
23. C. W. Therrien, Discrete Random Signals and Statistical Signal Processing. Englewood Cliffs, NJ Prentice-Hall, 1992.
24. A. J. Viterbi, “Error bounds for convolutional codes and an assymp-totically optimum decoding algorithm,” IEEE Trans. Info. Theory, vol. IT-13, pp. 260-269, Apr. 1967.
25. G. D. Forney, “The Viterbi algorithm,” Proc. IEEE, vol. 61, no. 3, pp. 268-278, Mar. 1973.
26. J. B. Anderson and S. Mohan, “Sequential coding algorithms: A survey and cost analysis,” IEEE Trans. Commun., vol. COM-32, pp. 169-176, 1984.