航空重力数据谐波小波滤波中卷积运算的处理

The Convolution Integral Arithmetic of Harmonic Wavelet Filter in the Data Processing of Aerial Gravity Measurement

数据的滤波提取是航空重力测量数据处理的一个重要环节。谐波小波滤波器在频域具有良好的盒形谱特征,可以较好地实现信号的滤波。但谐波小波滤波器是一个连续函数,航空重力测量采集的信号是离散的,无法直接进行卷积运算。讨论了谐波小波用于航空重力数据滤波处理时的卷积运算处理方法,给出了谐波小波频域卷积的算法实现过程和仿真算例。

The filtering extract is an important step of the data processing of aerial gravity measurement. The harmonic wavelet, which is introduced in this paper, has excellent box-like spectrum in the frequency domain. The better result can be obtained by using the harmonic wavelet filter. But it is continuous and cannot execute the convolution integral with the discrete data of aerial gravity measurement directly. The convolution integral arithmetic of harmonic wavelet in the data processing of aerial gravity measurement is discussed. The process of the convolution integral arithmetic is provided and an example is tested in this paper.