The data of teleseismic P waveform include a lot of informations of P-S converted wave and P multiple reflection wave produced by the interface of crust and mantle underneath the stations. The receiver function obtained from the waveforms offers an approach to understanding of the crust and mantle fine velocity structures. In this paper, the new progress in increasing the stability and precision of the receiver function is introduced. Many mature methods in oil exploration have been lead into the receiver function research field. Application of all these methods shows the inhomogeneity of crust and upper mantle with high resolution.