在假设噪声为高斯白噪声的前提下构造相移滤波器,并证明原始信号经过它的输出(时延判定函数)的高阶导数不仅在时延处取到最大值而且具有较低的旁瓣;又利用时延判定函数的阶高斯变换恰好与其阶导数的磨光化成比例以及光滑信号与高斯白噪声的高斯小波变换系数的不同而设计了时延估计算法;最后给出仿真实例并收到了较好的效果。
A new filter called phase shift filter is constructed, and it is proved that the derivative function of its output has very low side lobes and got the maximal value at the delay. Then a time delay estimation arithmetic is given using the difference between the Gaussian wavelet transformation of the time delay function and Gaussian white noise. At last the algorithm is used in the time delay estimations and got good results.