Program to calculate the least-squares estimates of the spherical harmonic expansion coefficients of an equally angular-gridded scalar field

Abstract The program SPHAN estimates the spherical harmonic coefficients of a scalar field by least-square fitting of data values measured on an equal angular grid on a globe. Title of program: SPHAN Catalogue Id: ABTU_v1_0 Nature of problem There is a wide range of applications of spherical harmonic analysis of regularly spaced data in reduction of global data set to spherical harmonic coefficients. Versions of this program held in the CPC repository in Mendeley Data ABTU_v1_0; SPHAN; 10.1016/0010-4655(91)90057-R This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)摘要：程序SPHAN通过对全球等角网格（equal angular grid）上测得的标量场（scalar field）数据值开展最小二乘拟合（least-square fitting），以估算标量场的球谐系数（spherical harmonic coefficients）。 程序名称：SPHAN 目录编号：ABTU_v1_0 问题概述：将全球数据集归算为球谐系数的规则间距数据球谐分析（spherical harmonic analysis）拥有广泛的应用场景。 Mendeley数据中CPC程序库存储的该程序版本：ABTU_v1_0; SPHAN; 10.1016/0010-4655(91)90057-R 本程序源自贝尔法斯特女王大学所维护的CPC程序库（1969-2018）