基于小波的信号部分重构与插值

通过分析信号重构理论，提出了信号部分重构的概念，即已知原信号的部分信息，通过增加一些新信息可以重构原信号更进一步的逼近，而且信号部分重构过程的迭代将达到信号的完全重构。基于小波变换理论，研究了一类信号部分重构问题，得到了一种信号部分重构公式。从信号部分重构的观点出发，提出了一种能够消除假频并扩展频宽的地震信号空间插值办法，实验结果证实了方法的有效性。

Signal partial reconstruction and interpolation based on wavelet transform

y analyzing signal reconstruction, the concept of signal partial reconstruction (i. e. known partial information of the original signal ) is proposed. The better approximation of the original signal can be obtained by adding some new information, which points out the original signal will be reconstructed completely with the iteration of signal partial reconstruction. Based on the theory of wavelet transform, one kind of signal partial reconstruction is studied, and the partial reconstruction formula is obtained. From the viewpoint of signal partial reconstruction, a seismic signal interpolation method which can eliminate alias and extend the Nyquest frequency is presented. Experimental results of real data are also provided.