A kepstrum approach to filtering, smoothing and prediction with application to speech enhancement
A kepstrum (or complex-cepstrum) approach to minimum-phase Wiener filtering of stationary scalar processes is proposed and solved for the case of signal plus coloured noise, where the noise possibly includes a white-noise component. A general solution is found in an innovations form. The spectral fa...
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| Veröffentlicht in: | Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2003-12, Vol.459 (2040), p.2957-2976 |
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| container_end_page | 2976 |
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| container_issue | 2040 |
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| container_title | Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences |
| container_volume | 459 |
| creator | Moir, T. J. Barrett, J. F. |
| description | A kepstrum (or complex-cepstrum) approach to minimum-phase Wiener filtering of stationary scalar processes is proposed and solved for the case of signal plus coloured noise, where the noise possibly includes a white-noise component. A general solution is found in an innovations form. The spectral factorization of the noise model and of the signal-plus-noise model required for the solution are determined from data using the kepstrum technique with the fast Fourier transform. This approach avoids dependence on any form of multidimensional state-space or polynomial-based model and so avoids use of recursive parameter estimation or of Diophantine equations. |
| doi_str_mv | 10.1098/rspa.2003.1137 |
| format | Article |
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| ispartof | Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2003-12, Vol.459 (2040), p.2957-2976 |
| issn | 1364-5021 1471-2946 |
| language | eng |
| recordid | cdi_crossref_primary_10_1098_rspa_2003_1137 |
| source | Alma/SFX Local Collection; JSTOR |
| subjects | Cepstra Coefficients Coloured Noise Complex Cepstrum Data smoothing Estimation methods Estimators Kepstrum Noise spectra Prediction Signal noise Smoothing Statistical discrepancies Supernova remnants White noise |
| title | A kepstrum approach to filtering, smoothing and prediction with application to speech enhancement |
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