摘要
本文将二维沃尔什变换应用于长江中下游地区6、7两个月的月降水场的展开和分析,给出了沃尔什变换的典型场及其对应系数的天气学意义,导出了度量展开质量的相对指标R^2及拟合均方差SD的公式,讨论了沃尔什变换的收敛性及与时间无关的性质,并与车贝雪夫多项式展开作了比较,然后根据几个主要的沃尔什变换系数分析降水场,最后选用16个系数对降水场进行拟合。
In this paper, 2-dimensional Walsh transform is used in the expansion and analysis of precipitation fields over the middle and lower reaches of the Changjiang River. Synoptic implications of the typical fields and their corresponding coefficients are given and formulas for the rela-tive target R^2 and the fitting root mean square error are derived formeasuring the expansion quality.The convergence and independence ontime of Walsh transform are discussed and compared with those of expan-sion of Chebyshev Polynominals.Then the precipitation fields are ana-lysed in terms of several main Walsh coefficients. Finally, sixteen Walshcoefficients are selected to fit the precipitation fields.
出处
《南京气象学院学报》
CSCD
1989年第1期44-55,共12页
Journal of Nanjing Institute of Meteorology
