Analysis of adaptive feedback and echo cancelation algorithms in a general multiple-microphone and single-loudspeaker system

In this paper, we analyze a general multiple-microphone and singleloudspeaker system, where an adaptive algorithm is used to cancel acoustic feedback/echo and a beamformer processes the feedback/echo canceled signals. This system can be viewed as part of a typical hearing aid system and/or a traditional acoustic echo cancelation system. We introduce and derive an approximation of a useful frequency domain measure – the power transfer function – and show how to predict the system stability bound, convergence rate and the steady-state behavior across time and frequency. Furthermore, we show how the derived expressions can be used to determine e.g. the step size parameter in the adaptive algorithms to achieve a desired system property e.g. convergence rate at a specific frequency.

• Type: Journal
• Year: 2011
• Where: ICASSP
• Authors: Meng Guo, Thomas Bo Elmedyb, Søren Holdt Jensen, Jesper Jensen
• Keywords: Acoustic Echo Cancelation, Adaptive Algorithms, Convergence Rate, ICASSP 2011, Signal Processing