  In this paper, we present a diffusion multi-rate least-mean-square (LMS)
algorithm, named DMLMS, which is an effective solution for distributed
estimation when two or more observation sequences are available with different
sampling rates. Then, we focus on a more practical application in the wireless
acoustic sensor networks (ASN). The filtered-x LMS (FxLMS) algorithm is
extended to the distributed multi-rate system and it introduces collaboration
between nodes following a diffusion strategy. Simulation results show that the
effectiveness of the proposed algorithms.
