  Sampling rate offsets (SROs) between devices in a heterogeneous wireless
acoustic sensor network (WASN) can hinder the ability of distributed adaptive
algorithms to perform as intended when they rely on coherent signal processing.
In this paper, we present an SRO estimation and compensation method to allow
the deployment of the distributed adaptive node-specific signal estimation
(DANSE) algorithm in WASNs composed of asynchronous devices. The signals
available at each node are first utilised in a coherence-drift-based method to
blindly estimate SROs which are then compensated for via phase shifts in the
frequency domain. A modification of the weighted overlap-add (WOLA)
implementation of DANSE is introduced to account for SRO-induced full-sample
drifts, permitting per-sample signal transmission via an approximation of the
WOLA process as a time-domain convolution. The performance of the proposed
algorithm is evaluated in the context of distributed noise reduction for the
estimation of a target speech signal in an asynchronous WASN.
