In a communication medium including a first set A of n communication
channels and a second set U of m communication channels, a method for
selecting sensor channels in A for quantifying crosstalk from U,
including operating A in a receive-only mode (FIG. 2 Step of Initialize
Modem pool A. Work in receive-only mode.), choosing a subset S.sub.1 of
A, estimating the expansion coefficients of A as a predefined function of
subset S.sub.1 and signals received by A (FIG. 2 Step of Choose a set S1
of m modems in A and estimate the expansion coefficients g.sub.jj of
modems in A relative to S1), choosing a candidate subset S.sub.2 of size
m of A where the determinant of a matrix of the expansion coefficients
corresponding to the subset S.sub.2 is greater than that of the expansion
coefficients corresponding to any other subset of size m of A divided by
a predefined bound D (FIG. 2 Step of Choose an initial candidate subset
S2 where det (A.sub.S2) det (A.sub.S)/D), calculating a threshold alpha,
choosing a final subset S.sub.2 that is an -amplifier of (FIG. 2Step of
Test S2 until a final subset S2 is found which is an -amplifier for a
defined), and employing the communications channels in the final subset
S.sub.2 as sensor channels (FIG. 2 Step of Use the modems corresponding
to the final subset S2 as the sensor set for the remaining modems m-n in
A) for quantifying crosstalk from U.