A method executed at a digital predistortion coefficient finder of an amplifier module in a cable network, the method comprising: receiving a first signal (tx_rf0) and a second signal (tx_rf) at the DPD coefficient finder, wherein the second signal (tx_rf) comprises a transformation of the first signal including distortions due to channel effects of a pre-network circuit and a post-network circuit and to amplifier nonlinearity and resulting from the first signal having passed in sequence through the pre-network circuit, an amplifier, and the post-network circuit, wherein the pre-network circuit and the post-network circuit introduce the distortions due to the channel effects and the amplifier introduces distortions due to the nonlinearity; synchronizing the first signal (tx_rf0) and the second signal (tx_rf), wherein the synchronizing comprises finding a vector w representative of the combination of the channel effects (H1 and H2) of the pre-network circuit and the post-network circuit to remove the channel effects (H1 and H2) of the pre-network circuit and the post-network circuit; representing any difference between the first signal (tx_rf0) convoluted with the vector w (w ∗ tx_rf0) and the second signal (tx_rf) as the nonlinearity (f(.)) of the amplifier and computing a first vector (f -1 (.)) representing an inverse of the nonlinearity (f(.)) of the amplifier; computing a second vector representing an inverse (H -1) of the channel effects of the pre-network circuit by minimizing a difference between the output signal (tx_rf) and a delayed input signal (tx_rf0(t- τ)): min ‖ tx _ rf − tx _ rf 0 t − τ ‖ which can also be written as: min ‖ f tx _ rf 1 ∗ W 1 ∗ H 1 ∗ H 2 − tx _ rf 0 t − τ ‖ where tx_rf1 is the output signal (tx_rf) subjected to the first vector f -1 (.); and providing DPD coefficients to a DPD actuator in the amplifier module, wherein the DPD coefficients comprise the first vector (f -1 (.)) and the second vector, wherein the DPD actuator predistorts an input signal to the amplifier module with the DPD coefficients, wherein an output signal from the amplifier module retains linearity relative to the input signal. receiving a first signal (tx_rf0) and a second signal (tx_rf) at the DPD coefficient finder, wherein the second signal (tx_rf) comprises a transformation of the first signal including distortions due to channel effects of a pre-network circuit and a post-network circuit and to amplifier nonlinearity and resulting from the first signal having passed in sequence through the pre-network circuit, an amplifier, and the post-network circuit, wherein the pre-network circuit and the post-network circuit introduce the distortions due to the channel effects and the amplifier introduces distortions due to the nonlinearity; synchronizing the first signal (tx_rf0) and the second signal (tx_rf), wherein the synchronizing comprises finding a vector w representative of the combination of the channel effects (H1 and H2) of the pre-network circuit and the post-network circuit to remove the channel effects (H1 and H2) of the pre-network circuit and the post-network circuit; representing any difference between the first signal (tx_rf0) convoluted with the vector w (w ∗ tx_rf0) and the second signal (tx_rf) as the nonlinearity (f(.)) of the amplifier and computing a first vector (f -1 (.)) representing an inverse of the nonlinearity (f(.)) of the amplifier; computing a second vector representing an inverse (H -1) of the channel effects of the pre-network circuit by minimizing a difference between the output signal (tx_rf) and a delayed input signal (tx_rf0(t- τ)): where tx_rf1 is the output signal (tx_rf) subjected to the first vector f -1 (.); and providing DPD coefficients to a DPD actuator in the amplifier module, wherein the DPD coefficients comprise the first vector (f -1 (.)) and the second vector, wherein the DPD actuator predistorts an input signal to the amplifier module with the DPD coefficients, wherein an output signal from the amplifier module retains linearity relative to the input signal.