  This paper proposes a joint acoustic echo cancellation (AEC) and speech
dereverberation (DR) algorithm in the short-time Fourier transform domain. The
reverberant microphone signals are described using an auto-regressive (AR)
model. The AR coefficients and the loudspeaker-to-microphone acoustic transfer
functions (ATFs) are considered time-varying and are modeled simultaneously
using a first-order Markov process. This leads to a solution where these
parameters can be optimally estimated using Kalman filters. It is shown that
the proposed algorithm outperforms vanilla solutions that solve AEC and DR
sequentially and one state-of-the-art joint DRAEC algorithm based on semi-blind
source separation, in terms of both speech quality and echo reduction
performance.
