Modelling and analysis of error probability performance for DMT-based DSL system with impulse noise and crosstalk

The transmission of high-speed data over Digital Subscriber Loop (DSL) can be accomplished through the use of Discrete Multitone (DMT). Due to the frequency dependent channel distortion and crosstalk, there is a need to determine the performance of DMT-based DSL for system optimization purpose. This paper presents an error probability analysis for the DMT-based DSL in presence of additive white Gaussian noise (AWGN), impulse noise (IN) and crosstalk. The bandlimitation effect of the DSL on the DMT signal is studied based on the discrete impulse response of the channel. Impairments after Fourier transformation at the receiver end are analysed. A recently proposed impulse noise model, in which IN is viewed as the product of a Bernoulli process and a Gaussian process is adopted. Crosstalk noise is assumed to be Gaussian distributed with its variance determined from the frequency response of the DSL and empirically obtained coupling constants. A closed-form expression for the error probability performance of the DMT system with Quadrature Amplitude Modulation (QAM) modulation is derived.