A method for reducing far-end crosstalk in a digital subscriber line, DSL, system, comprising: transmitting, by a DSL receiving end over a first line to a DSL transmitting end, a noise statistic related value that reflects a noise component of signal received on the first line; receiving, by the DSL receiving end over the first line from the DSL transmitting end, a synthesized signal pre-coded on the DSL transmitting end using filtering parameters associated with the noise statistic related value; and in response to the reception of the synthesized signal, transmitting, by the DSL receiving end over the first line to the DSL transmitting end, an updated noise statistic related value; characterized in that, wherein transmitting, by the DSL receiving end over the first line to the DSL transmitting end, the noise statistic related value comprises: transmitting, by the DSL receiving end over the first line to the DSL transmitting end, one of a one-bit sign and a two-bits sign of a difference; wherein the one-bit sign of the difference indicates one of the group consisting of: a state representative of no change in or a decrement of the value of the signal-to-noise ratio, and a state representative of an increment of the value of the signal-to-noise ratio; wherein the two-bits sign of the difference indicates one of the group consisting of: no change in the value of the signal-to-noise ratio, a decrement of the value of the signal-to-noise ratio, and an increment of the value of the signal-to-noise ratio. transmitting, by a DSL receiving end over a first line to a DSL transmitting end, a noise statistic related value that reflects a noise component of signal received on the first line; receiving, by the DSL receiving end over the first line from the DSL transmitting end, a synthesized signal pre-coded on the DSL transmitting end using filtering parameters associated with the noise statistic related value; and in response to the reception of the synthesized signal, transmitting, by the DSL receiving end over the first line to the DSL transmitting end, an updated noise statistic related value; characterized in that, wherein transmitting, by the DSL receiving end over the first line to the DSL transmitting end, the noise statistic related value comprises: transmitting, by the DSL receiving end over the first line to the DSL transmitting end, one of a one-bit sign and a two-bits sign of a difference; wherein the one-bit sign of the difference indicates one of the group consisting of: a state representative of no change in or a decrement of the value of the signal-to-noise ratio, and a state representative of an increment of the value of the signal-to-noise ratio; wherein the two-bits sign of the difference indicates one of the group consisting of: no change in the value of the signal-to-noise ratio, a decrement of the value of the signal-to-noise ratio, and an increment of the value of the signal-to-noise ratio. transmitting, by the DSL receiving end over the first line to the DSL transmitting end, one of a one-bit sign and a two-bits sign of a difference; wherein the one-bit sign of the difference indicates one of the group consisting of: a state representative of no change in or a decrement of the value of the signal-to-noise ratio, and a state representative of an increment of the value of the signal-to-noise ratio; wherein the two-bits sign of the difference indicates one of the group consisting of: no change in the value of the signal-to-noise ratio, a decrement of the value of the signal-to-noise ratio, and an increment of the value of the signal-to-noise ratio. a state representative of no change in or a decrement of the value of the signal-to-noise ratio, and a state representative of an increment of the value of the signal-to-noise ratio; wherein the two-bits sign of the difference indicates one of the group consisting of: no change in the value of the signal-to-noise ratio, a decrement of the value of the signal-to-noise ratio, and an increment of the value of the signal-to-noise ratio. no change in the value of the signal-to-noise ratio, a decrement of the value of the signal-to-noise ratio, and an increment of the value of the signal-to-noise ratio.