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线性调频(LFM)信号广泛应用于雷达、声纳及通信等领域,在进行LFM信号参数估计时,分别针对分数阶傅里叶变换(FRFT)插值算法存在二维搜索计算量大、时间长和离散多项式变换(DPT)算法精度不高且受噪声影响严重的问题,进一步提出了将DPT算法与FRFT插值算法相结合。先采用DPT算法,对LFM信号进行延迟相乘,用正弦频率估计进行粗搜索,再采用FRFT插值法进行精搜索,实现“粗搜索+精搜索”结合,减少二维搜索的时间,在保证精确度的同时,进一步提高实时性。对不同初始频率和调频率的LFM信号进行了仿真。仿真结果表明,该算法能够有效减少LFM信号参数估计的计算量,并且精度满足工程要求。
Linear Frequency Modulation (LFM) signals are widely used in radar, sonar and communications fields. In the estimation of LFM signal parameters, the two-dimensional FRF algorithm has many disadvantages, Discrete Polynomial Transform (DPT) algorithm is not high precision and seriously affected by noise, further proposed the combination of DPT algorithm and FRFT interpolation algorithm. Firstly, the DPT algorithm is used to delay multiply the LFM signals, perform rough search with the sine frequency estimation, and then use the FRFT interpolation method to perform fine search to achieve the combination of “coarse search + fine search” and reduce the time of two-dimensional search. To ensure accuracy at the same time, to further improve real-time. LFM signals with different initial frequencies and frequencies are simulated. Simulation results show that this algorithm can effectively reduce the computational complexity of LFM signal parameter estimation and meet the engineering requirements.