Método de inversão matricial rápido GSGR para vectoring em sistemas xDSL, com implementação em chip DSP

Abstract

This study presents a fast method for dense matrix inversion, and a possible application with methods of Vectoring, in pre-coding and crosstalk cancellation of xDSL systems. The family of xDSL technologies uses twisted pairs of copper telephone wires as medium to transmit digital data. Crosstalk is the major cause of degradation in signals in the newest generation of xDSL systems, G.fast, and to combat it, pre-coding and cancellation techniques, called Vectoring, are used. The proposed method GSGR consists of a different approach to the classic method of Squared Givens Rotations (SGR), suitable for implementations in embedded digital signal processing platforms. Comparison testing of the GSGR with classical direct inversion methods were performed using a digital multicore platform based on TI DSP chip TMS320C6670 and Matlab software platform. The results of the matrix inversion tests using real and simulated data showed that the GSGR was superior in execution speed without significant loss of accuracy for the application on xDSL systems.