CAJ | 학술논문

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。
위제고신호빈솔고계정도화현유방법적보괄성，제출일충기우빈보융합적다단동빈등장신호적빈솔고계산법。설계상위차보상인자극복분단신호상위불련속문제，이체도상위련속신호적빈보분석효과；건립수색빈솔서렬수정상위차보상인자중적미지삼수，병대분단신호빈보진행상위차보상득도수정빈보구진；통과루적빈보추취보화수정빈보계산빈보상관서렬병수색최대치，기대응수색빈솔즉위해산법적빈솔고계치。수치방진실험표명，기우해산법빈솔고계적균방근오차약위현유방법적1/4~2/3，교위접근Cramer-Rao하한。
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.