Multichannel equalisation is generally accomplished by designing inverse filters to remove the distortion associated with the transmission paths between a set of sources and receivers. The filters are estimated by minimising a cost function based on the least squares error criterion. However, under certain conditions this least squares error based formulation fails to provide a solution or provides a solution that lacks robustness. These conditions are investigated and modifications are introduced in the definition of the cost function so that the problem has always a solution with increased robustness. Moreover, the multiple error LMS algorithm is employed to adapt the filter coefficients to their optimum values, issues like convergence speed and stability are discussed and simulation results are presented.
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