Multichannel L-filter design based on marginal data ordering

We address the design of multichannel L-filters based on marginal data ordering using the mean-squared-error as fidelity criterion. Design procedures subject to the constraints of unbiased or location-invariant estimation or without imposing any constraint are discussed. It is shown by simulations that the proposed multichannel L-filters perform better than other multichannel nonlinear filters such as the vector median, the marginal alpha-trimmed mean, the marginal median, the multichannel modified trimmed mean and the multichannel double-window trimmed mean, the multivariate ranked-order estimators as well as their single-channel counterparts