LMS algorithm and the application of the digital filter Abstract :LMS recursive algorithm weights due to newer technologies.easy,it is widely used in engineering.LMS algorithm and improve the performance of the algorithm has already done quite a lot of research,and still is an important research topic.Based on the model of LMS adaptive algorithm for two integrated digital filter coefficients.The frequency response given by computer simulation waveforms,a comparison of the two,and high-speed,stable structure for the study of the adaptive filter.Keywords :LMS algorithm; ;RPE Adaptive filter algorithm ;PLR algorithm ;FIR;IIR