提出一种基于伪瞬时相关函数-沙漏型变换(pseudo instantaneous correlation function-sandglasstransform,PICF-SGT)的二次调频(quadratic frequency modulation,QFM)信号的检测与参数估计算法。PICF-SGT可以解除QFM信号的伪瞬时相关函数中的时间和时延平方项的耦合,从而实现信号的相干积累和交叉项的有效抑制,并且获得信号的调频率和二次调频率的估计。详细分析了PICF-SGT算法的实现、插值误差、信号聚焦特性和交叉项分布及抑制,并且提出了一种改进的尺度因子选择标准。仿真结果验证了该算法的有效性。
A new approach based on pseudo instantaneous correlation function-sandglass transform(PICF-SGT) is presented for quadratic frequency modulation(QFM) signals detection and parameters estimation.The PICF-SGT can decouple the time and square of lag time in the pseudo instantaneous correlation function of the QFM.Thus,the coherent integration for signal terms and effective suppression for cross terms can be achieved.In addition,the estimation for the chirp rate and quadratic chirp rate of QFM signals is obtained at the same time.A detailed analysis on the implement of the PICF-SGT,the interpolation error,signal focusing characteristic and the distribution of cross terms is made.And then a modified criterion of scaling factor selection is discussed.Simulation results verify the effectiveness of the proposed method.