Line sensor selection for quantifying alien crosstalk in a shared communications medium

Abstract

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.Step of Initialize Modem pool A. Work in receive-only mode.), choosing a subset Sof A, estimating the expansion coefficients of A as a predefined function of subset Sand signals received by A (FIG.Step of Choose a set Sof m modems in A and estimate the expansion coefficients gof modems in A relative to S), choosing a candidate subset Sof size m of A where the determinant of a matrix of the expansion coefficients corresponding to the subset Sis greater than that of the expansion coefficients corresponding to any other subset of size m of A divided by a predefined bound D (FIG.Step of Choose an initial candidate subset Swhere det (A) det (A)/D), calculating a threshold alpha, choosing a final subset Sthat is an -amplifier of (FIG.Step of Test Suntil a final subset Sis found which is an -amplifier for a defined), and employing the communications channels in the final subset Sas sensor channels (FIG.Step of Use the modems corresponding to the final subset Sas the sensor set for the remaining modems m-n in A) for quantifying crosstalk from U.