We attack the problem of perfect equalizability of multi-user channels, in which the usual linear time-invariant assumption is dismissed. In the linear, time-invariant case, condition for perfect equalizability is plain and expressed in terms of the column rank of the channel's transfer matrix. Using the module-theoretic approach developped by Fliess, in which the transfer matrix of a time-varying channel as well as the rank of a non-linear channel are clearly defined, we show how the condition obtained in the linear time-invariant case naturally extends to the time-varying and the non-linear cases.
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