频率估计的一种多段同频等长信号频谱融合法  

Frequency estimation algorithm based on spectrum fusion among multi-section signals with same frequency and length

作　　者：沈艳林[1] 涂亚庆[1] 苏丹[1] 王慧[2] 

机构地区：[1]后勤工程学院信息工程系,重庆401311 [2]重庆邮电大学工商管理系,重庆400065

出　　处：《计算机工程与应用》2014年第7期85-88,98,共5页Computer Engineering and Applications

基　　金：国家自然科学基金(No.61271449;No.61302175);重庆市自然科学基金(No.cstc2012jjA0877;No.cstc2011BA2015);后勤工程学院青年科研基金

摘　　要：为提高信号频率估计精度和现有方法的普适性，提出一种基于频谱融合的多段同频等长信号的频率估计算法。设计相位差补偿因子克服分段信号相位不连续问题，以达到相位连续信号的频谱分析效果；建立搜索频率序列修正相位差补偿因子中的未知参数，并对分段信号频谱进行相位差补偿得到修正频谱矩阵；通过累积频谱抽取谱和修正频谱计算频谱相关序列并搜索最大值，其对应搜索频率即为该算法的频率估计值。数值仿真实验表明，基于该算法频率估计的均方根误差约为现有方法的1/4~2/3，较为接近Cramer-Rao下限。To improve the precision of frequency estimation of signals and extend the application of existing methods, a frequency estimation algorithm for multi-section signals with the same frequency and length based on spectrum fusion is proposed. Firstly, a phase-difference compensating factor is designed to overcome phase discontinuity among different sections of signals and obtain the spectrum for continuous signals. Secondly, a search-frequency array is generated to modify unknown parameters in the phase-difference compensating factor and corrected spectra are gained by the compen-sated spectra of signals. Thirdly, the spectrum correlation sequence is calculated according to extracted cumulative spec-trum and corrected spectra, search its maximum and the corresponding frequency is estimated frequency value. Numerical simulated experimental results demonstrate root mean square error of the proposed algorithm is between 1/4 and 2/3 of existing methods, and its estimation precision approaches Cramer-Rao lower bound.

关 键 词：频率估计 频谱融合 多段同频等长信号 

分 类 号：TN911.7[电子电信—通信与信息系统]