CAJ | 학술논문

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。
다단정현신호빈보융합법（간칭“원융합산법”）시제고저신조비조건하정현신호빈솔고계정도적일조유효도경，구유중요연구의의화응용개치。위만족뢰체、성납、전자대항등실시성요구교고적빈솔고계응용수구，제출다단정현신호쾌속빈보융합산법。해방법통과설계리산시간부리협변환（Discrete Time Fourier Transform，DTFT）쾌속산법、강유처리가권융합빈보구진화1/3주판상관성분석처리등조시래강저산법계산량，제고실시성。중점대상술삼항조시적원리진행료천술여분석。계산량대비화방진실험표명，다단정현신호쾌속빈보융합산법재정도손실겁소적전제하，능구대폭강저계산량；재신조비겁저적정황하(SNR-13 dB)，기성능략우우원융합산법。
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) .