G-Filter's Gaussianization Function for Interference Background

By weakening the bigger and strengthening the smaller, gaussianization can enhance the gaussianity of samples and improve performance of subsequent correlation test. Firstly, an explicit definition on gaussianizing filter and a practical method to evaluate the filtering performance are given. Secondly, based on the cumulative distribution function and its inverse, one typical gaussianizing filters, so-called G-filter, are proposed and studied. Finally, instances with lake trial data are illustrated.