Distributed recursive blind equalization of networked systems

In this paper, we study the distributed blind equalization of networked single-input multi-output (SIMO) systems for which the transfer functions from a common source to multiple outputs are described by FIR filters. The blind distributed equalization is carried out by firstly estimating the multiple FIR filters followed by the associated equalizers. Two different schemes are employed for the distributed realization of blind equalization: one depends on multiple average-consensus operations, and the other relies on the combination of innovation and one average-consensus operation. The former generates an approximate equalizer for which the associated estimation error is determined by the number of average-consensus operations, while the latter can provide an accurate equalizer estimation under some mild conditions. Finally, numerical simulations are carried out to show the performances of the proposed algorithms.