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The numerical solution of carrying oscillation forming problem or multi-pair communication system over electricity-conductive lines


K.A. Batenkov – Ph. D. (Eng.), Academy of Federal Security Guard Service of Russian (Orel).E-mail:
D.A. Rybolovlev – Ph. D. (Eng.), Academy of Federal Security Guard Service of Russian (Orel). E-mail:

In the article the numerical solution of carrying oscillation forming problem for multi-pair communication system via electricity cable using sequential quadratic programming is proposed. The main purpose of the paper consists in data rate increase and/or communication reliability rising in the case of multi-pair bonding. In the introduction the actuality of DSL technology enhancement and development is emphasized. The perspective multi-pair bonding approach is presented. The optimizing problem of carrying oscillation forming for communication system realizing DSL multi-pair mode is assigned. The problem is classified as a conditional optimization problem with the mixed constraints. The choice of a sequential quadratic programming as most effective solution method is reasoned. The numerical solution of the problem is given. Modified Lagrange's function is used. The correction of a Hesse matrix for Lagrange's function is carried out by means of the BFGS method. It is shown that usage of optimal carrying oscillations versus quasioptimal and nonoptimal results in subchannel signal-to-noise ratio increase. The achievable data rate increase and communication reliability rising are estimated.

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