Analysis of Acoustic Feedback/Echo Cancellation in Multiple-Microphone and Single-Loudspeaker Systems Using a Power Transfer Function Method

作者：Guo Meng^*; Elmedyb Thomas Bo; Jensen Soren Holdt; Jensen Jesper

来源：IEEE Transactions on Signal Processing, 2011, 59(12): 5774-5788.

DOI：10.1109/TSP.2011.2168523

• Adaptive echo cancellation
• adaptive feedback cancellation
• convergence rate
• steady-state behavior

In this work, we analyze a general multiple-microphone and single-loudspeaker audio processing system, where a multichannel adaptive system is used to cancel the effect of acoustic feedback/echo, and a beamformer processes the feedback/echo canceled signals. We introduce and derive an accurate approximation of a frequency domain measure-the power transfer function-and show how it can be used to predict the convergence rate, system stability bound and the steady-state behavior of the entire cancellation system across frequency and time. We consider three example adaptive algorithms in the cancellation system: the least mean square, normalized least mean square, and the recursive least squares algorithms. Furthermore, we derive expressions to determine the step size parameter in the adaptive algorithms to achieve a desired system behavior, e. g., convergence rate at a specific frequency. Finally, we compare and discuss the performance of all three adaptive algorithms, and we verify the derived expressions through simulation experiments.

• 出版日期2011-12