中文摘要：

利用LMS算法构成数字通信接收器的载波恢复系统,能够使单频率和多频率的正弦相位抖动,对多普勒频移造成的相位偏移进行自适应补偿.本文在给出算法的补偿原理后,利用Matlab仿真环境,以8PSK信号为例对补偿过程进行分析,利用学习曲线的分析研究了系统的收敛性能,利用信号星座图和相位差功率谱直观看出了算法的补偿效果.结果证明：对单频率相位抖动能够衰减25 dB左右,双频率能够衰减15 dB左右;经系统补偿后信号和只含有高斯白噪声的数字信号星座图非常接近.

英文摘要：

The LMS algorithm used in the carrier recovery system in this article can compensate the phase offset due to Doppler shift and sinusoid phase jitters with single or multiple tones.Taking 8PSK signals as an example,simulation results are obtained.The direct compensation performances can be easily observed through the signal constellations.The MSE curves illustrate the converge speed of the method.The power spectrum indicates the compensation ability qualitatively.The results indicate that the signal constellation after compensation is almost the same as that with only AWGN（Additive White Gauss Noise）.And the single and two tones phase jitter can be reduced by 25 dB and 15 dB,respectively.