The invention suitable for a field of 
linearization processing of transmitting terminals of digital televisions provides a 
baseband adapting digital pre-
distortion power 
amplifier correcting method and a 
system thereof. The method comprises that, in a communication state, a residual difference between a communication 
signal after being pre-distorted and a 
signal re-introduced from a power 
amplifier, reduced by G times and pre-distorted, wherein the G is the power 
amplifier gain, is calculated in real time, when the value of the residual difference is bigger than the value of a preset threshold 1, the communication state is 
cut off, and the 
system enters a training state; in the training state, a residual difference between a 
signal obtained by pre-distorting a training sequence and eliminating the synchronous head and a signal re-introduced from a power amplifier, reduced by G times, pre-distorted, with the synchronous head eliminated is calculated in real time, the two coefficients used in pre-
distortion processing are iterated and upgraded by an LS method and a Newton method until the value of the residual difference is converged, and when the residual difference is lower than the value of a preset threshold 2, the training state is ended and the communication state is recovered, wherein, the training sequence is gold codes having a synchronous head.