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This article addresses the design of linear networks that reduce intersymbol interference and crosstalk in transmultiplexers. The proposed filter design method is based on the maximization of the signal-to-noise ratio at the detector input, defined for channel memories being truncated to arbitrarily short lengths. Thus, low-complexity Viterbi (1986) detectors working independently for all data channels can be used. The design of minimum mean-square error equalizer networks is included in the framework.