频率估计的多段正弦信号快速频谱融合算法  

Fast frequency estimation algorithm based on spectra fusion of multi-section sinusoids

作　　者：肖玮[1] 涂亚庆[1] 沈艳林[1] 苏丹[1] 张磊 

机构地区：[1]后勤工程学院后勤信息工程系,重庆401311 [2]涿州综合仓库,河北保定611730

出　　处：《计算机工程与应用》2014年第6期186-191,共6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项目资助课题

摘　　要：多段正弦信号频谱融合法(简称"原融合算法")是提高低信噪比条件下正弦信号频率估计精度的一条有效途径,具有重要研究意义和应用价值。为满足雷达、声纳、电子对抗等实时性要求较高的频率估计应用需求,提出多段正弦信号快速频谱融合算法。该方法通过设计离散时间傅里叶变换(Discrete Time Fourier Transform,DTFT)快速算法、降维处理加权融合频谱矩阵和1/3主瓣相关性分析处理等措施来降低算法计算量,提高实时性。重点对上述三项措施的原理进行了阐述与分析。计算量对比和仿真实验表明,多段正弦信号快速频谱融合算法在精度损失极小的前提下,能够大幅降低计算量;在信噪比极低的情况下(SNR≤-13 dB),其性能略优于原融合算法。The spectra fusion method for multi-sections sinusoids（called“the fore-fusion method”for short）is an effec-tive way of estimation frequency for the sinusoids in low Signal-to-Noise Ratio（SNR）, which has an important theoreti-cal significance and practical value. In order to meet the high real-time demand in some fields such as radar, sonar and electronic countermeasures, a fast spectra fusion algorithm for multi-section sinusoids is put forward. This proposed algo-rithm can reduce the calculation and improve the real-time characteristic by the following techniques：design a fast DTFT algorithm, reduce dimensions of the weighted fusion spectrum matrix, and analyse the correlation of the 1/3 main-lodes of the optimization weighted-accumulation spectrum and the accumulation spectrum. The principles of the above techniques are expatiated. Calculation analyses and simulations demonstrate that the proposed algorithm can reduce most calculation of the fore-fusion method with lower little precision, and it works better in very low SNR （SNR-13 dB） .

关 键 词：快速频谱融合 多段正弦信号 离散时间傅里叶变换(DTFT)快速算法 降维 1 3主瓣相关 

分 类 号：TN957[电子电信—信号与信息处理]