多段降频等长信号的频率估计快速迭代算法

A fast iterative algorithm of frequency estimation for multi-section signals with the same length and known frequency-difference

为改善多段平稳信号频率估计的精度、实时性和扩展已有方法的适用范围,给出一种多段降频等长信号的快速迭代算法。在算法中,生成频域分析参数矩阵以克服各段信号频率不等;设计相位差补偿因子矩阵以达到相位连续信号的效果;生成搜索频率序列以修正相位差补偿因子矩阵中的未知参量并得到具有特定形式的功率谱矩阵;采用间接迭代计算以改善算法实时性。在说明上述技术措施的应用原理时,给出了5项重要性质作为该算法正确性的数学证明。针对多种应用环境状态进行了仿真实验,结果表明:该算法具有普适性、抗噪性和实时性好,频率估计精度比现有方法有较大提高。

We proposed a fast iterative algorithm for the multi-section signals with the same length and known frequency-difference to increase precision and real-time performance of frequency estimation for multi-section stationary signals while extending the applicable ranges of the existing methods. The algorithm includes the following technical features： The parameter matrix for frequency-domain analysis was generated to treat the unequal frequencies of different sections~ The phase-difference compensation factor matrix was designed to obtain the frequency spectrum as well as the phase-continuous signals; The search frequency sequence was generated to amend the unknown parameters in the phase-difference compensation factor matrix while obtaining the frequency spectrum amplitude matrix in a specific form; and, indirect iterative computation was adopted to improve the real-time performance of the algorithm. In addition, five important properties were given and proven to demonstrate the correctness of the algorithm. Simulated experiments were carried out under various complicated application environments. The results show good universality, noise immunity, real-time performance and better frequency estimation precision compared with the existing methods.