The present invention provides a communication system for use with a first source signal and a second source signal. The first source signal is on a first channel and includes M symbols, where M is an integer greater than 1. The second source signal is on a second channel and includes X symbols, where X is an integer greater than 1. The first channel is different from the second channel. The communication system includes a first modulator unit, a second modulator unit and an adder. The first modulator unit can generate a first modulated signal based on the first source signal and includes a first inter-symbol distortion estimating unit and a first stage predistortion unit. The second modulator unit can generate a second modulated signal based on the second source signal and includes a second inter-symbol distortion estimating unit and a predistortion unit. The adder can generate an added signal based on the first modulated signal and the second modulated signal. The first inter-symbol distortion estimating unit can generate a distorted symbol vector based on an estimate of a distortion of the first through (a−1)-th symbols and an estimate of a distortion of the (a+1)-th through M-th symbols, where 1≦a≦M. The first stage predistortion unit is operable to generate a predistorted symbol ã based on the symbol a of the first plurality of symbols and the distorted symbol vector. Further, a receiver unit can cancel interference in the received signals to account for adjacent channel interference.