As the number of connected devices equipped with
multiple microphones increases, scientific interest in distributed
microphone array processing grows. Current beamforming meth-
ods heavily rely on estimating quantities related to array geom-
etry, which is extremely challenging in real, non-stationary envi-
ronments. Recent work on polynomial eigenvalue decomposition
(PEVD) has shown promising results for speech enhancement in
singular arrays without requiring the estimation of any array-
related parameter [1]. This work extends these results to the
realm of distributed microphone arrays, and further presents
a novel framework for speech enhancement in distributed mi-
crophone arrays using PEVD. The proposed approach is shown
to almost always outperform optimum beamformers located at
arrays closest to the desired speaker. Moreover, the proposed
approach exhibits very strong robustness to steering vector
errors.