摘要
This paper elaborated on the standard and nonstandard forms of matrix multi-resolution analysis theory in detail, and taking Hilbert operator as an example, explained the compression result of operator with multi-resolution form. It laid a good theoretical foundation for migration algorithm of wavelets domain. Then, setting out from the three-dimension radar wave equation, and making use of the bursting reflection theory and floating coordinate transform, the authors have deduced the finite difference format of GPR three-dimension wave equation.