Frequency-domain adaptive Kalman filter for acoustic echo control in hands-free telephones

Acoustic echo canceler and postfilter for residual echo suppression are two essential building blocks of a hands-free voice communication system. Based on the Kalman filter theory, we derive a simple and advanced algorithm for the optimum joint statistical adaptation of both filter coefficients in time-varying and noisy acoustic environments. The Kalmar filter utilizes a stochastic state-space model of the acoustic echo path which is formulated entirely in the frequency-domain. The resulting adaptive algorithm is computationally efficient and inherently robust, i.e., the adaptation does not require additional regularization or control mechanisms.

[1]  D. Brillinger Time series - data analysis and theory , 1981, Classics in applied mathematics.

[2]  E. Ferrara Fast implementations of LMS adaptive filters , 1980 .

[3]  R. E. Kalman,et al.  A New Approach to Linear Filtering and Prediction Problems , 2002 .

[4]  Eberhard Hänsler,et al.  Hands-free telephones - joint control of echo cancellation and postfiltering , 2000, Signal Process..

[5]  Gerhard-Uwe Schmidt Entwurf und Realisierung eines Multiratensystems zum Freisprechen , 2001 .

[6]  Eberhard Hänsler,et al.  The hands-free telephone problem- An annotated bibliography , 1992, Signal Process..

[7]  Gerhard Schmidt,et al.  Applications of acoustic echo control - An overview , 2004, 2004 12th European Signal Processing Conference.

[8]  Rainer Martin,et al.  Combined acoustic echo control and noise reduction for hands-free telephony , 1998, Signal Process..

[9]  Jacob Benesty,et al.  Advances in Network and Acoustic Echo Cancellation , 2001 .

[10]  Rainer Martin,et al.  Coupled adaptive filters for acoustic echo control and noise reduction , 1995, 1995 International Conference on Acoustics, Speech, and Signal Processing.

[11]  Peter Vary,et al.  ROBUST AND ELEGANT, PURELY STATISTICAL ADAPTATION OF ACOUSTIC ECHO CANCELER AND POSTFILTER , 2003 .

[12]  Stefan Bilbao,et al.  Proceedings of the European Signal Processing Conference , 2005 .

[13]  Gerhard Schmidt,et al.  Acoustic echo control. An application of very-high-order adaptive filters , 1999, IEEE Signal Process. Mag..

[14]  Robert M. Gray,et al.  Toeplitz and Circulant Matrices: A Review , 2005, Found. Trends Commun. Inf. Theory.

[15]  R. Mehra On the identification of variances and adaptive Kalman filtering , 1970 .

[16]  A. Gray,et al.  Unconstrained frequency-domain adaptive filter , 1982 .

[17]  S. Haykin,et al.  Adaptive Filter Theory , 1986 .

[18]  Eberhard HÄnsler,et al.  The hands-free telephone problem: an annotated bibliography update , 1994 .

[19]  E. Hänsler,et al.  Acoustic Echo and Noise Control: A Practical Approach , 2004 .

[20]  Edward J. Wegman,et al.  Statistical Signal Processing , 1985 .

[21]  Bernhard H. Nitsch A frequency-selective stepfactor control for an adaptive filter algorithm working in the frequency domain , 2000, Signal Process..

[22]  Christophe Beaugeant,et al.  Combined noise and echo reduction in hands-free systems: a survey , 2001, IEEE Trans. Speech Audio Process..

[23]  Jacob Benesty,et al.  Acoustic signal processing for telecommunication , 2000 .

[24]  James R. Zeidler,et al.  Adaptive tracking of linear time-variant systems by extended RLS algorithms , 1997, IEEE Trans. Signal Process..

[25]  Rainer Martin,et al.  The echo shaping approach to acoustic echo control , 1996, Speech Commun..