Constructing a type of new wavelet function and discussing its application in surveying and mapping data processing
Zheng Zuo-ya · Cehui kexue · 2007
Shannon function is a function with good filter but bad local character, while Gauss window function with a better local character and wavelet attenuation controlling but bad low-pass. Shannon and Gauss functions are used to construct a new type of wavelet function in this paper, which are father wavelet meeting the need of low-pass and first-order and second-order mother wavelets meeting the need of band-pass. What is more, their character of orthogonality, completeness and compactly supported ability are discussed. Taking GPS data for example, the authors analyze its smoothing and compress effect, marginal effect and detect funny point to get some useful conclusion. It is obvious that it will be a significant method for GPS data processing.