In order to reduce the number of model coefficients while ensuring the accuracy of power amplifier modeling, this paper creatively proposes a simplified power amplifier model based on compressed sensing algorithm, which uses remove duplicates sparse adaptive matching pursuit (RDSAMP) algorithm to simplify the model coefficients. Compared with the generalized memory polynomial (GMP) and the piecewise simplified dynamic deviation reduction (PSDDR) full coefficient model, the digital pre-distortion test results show that the modeling accuracy of the simplified model proposed in this paper is improved by 1dB and-0.6dB to-46.01dB, and the adjacent channel power ratio (ACPR) is increased by 3.2dB and-1dB to-50dBc, respectively. At the same time, the number of model coefficients is greatly reduced by 72% and 65%, respectively. Therefore, the model proposed in this paper can greatly reduce the model coefficient on the basis of maintaining the modeling accuracy, which has a high reference value for the existing power amplifier model simplification problem.