Exploiting Temporal Correlation of Speech and Noise Magnitudes Using a Modified Kalman Filter for Speech Enhancement

A new speech enhancement algorithm using a modified Kalman filter in the frequency domain is proposed. The new approach consists of two steps. In the first step, the temporal trajectories of the speech and noise magnitudes are modeled by low order autoregressive (AR) processes, i.e., the current coefficients are propagated in time based on information taken from previous, enhanced coefficients, followed by a subsequent phase estimation. In the second step, the first estimation is updated. Therefore, two statistical estimators are utilized. The performance of the proposed method is shown to be considerably better than purely statistical estimators.

[1]  Wen-Rong Wu,et al.  Subband Kalman filtering for speech enhancement , 1998 .

[2]  Rainer Martin,et al.  Noise power spectral density estimation based on optimal smoothing and minimum statistics , 2001, IEEE Trans. Speech Audio Process..

[3]  Peter Jax,et al.  A psychoacoustic approach to combined acoustic echo cancellation and noise reduction , 2002, IEEE Trans. Speech Audio Process..

[4]  Saeed Vaseghi,et al.  Speech enhancement in temporal DFT trajectories using Kalman filters , 2005, INTERSPEECH.

[5]  A.V. Oppenheim,et al.  Enhancement and bandwidth compression of noisy speech , 1979, Proceedings of the IEEE.

[6]  Henning Puder Kalman-filters in subbands for noise reduction with enhanced pitch-adaptive speech model estimation , 2002, Eur. Trans. Telecommun..

[7]  Kuldip K. Paliwal,et al.  A speech enhancement method based on Kalman filtering , 1987, ICASSP '87. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[8]  Ephraim Speech enhancement using a minimum mean square error short-time spectral amplitude estimator , 1984 .

[9]  Thomas Esch,et al.  Speech enhancement using a modified Kalman filter based on complex linear prediction and supergaussian priors , 2008, 2008 IEEE International Conference on Acoustics, Speech and Signal Processing.

[10]  Rainer Martin,et al.  Speech enhancement using MMSE short time spectral estimation with gamma distributed speech priors , 2002, 2002 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[11]  John G. Proakis,et al.  Digital Signal Processing: Principles, Algorithms, and Applications , 1992 .

[12]  Peter Vary,et al.  Speech Enhancement by MAP Spectral Amplitude Estimation Using a Super-Gaussian Speech Model , 2005, EURASIP J. Adv. Signal Process..