平稳函数线性内插的教学探讨

平稳函数线性内插是最小二乘配置的一种特例.本文结合测绘专业教学中采用较多的经典教材<测量平差原理>,对教材中的内插公式做了通用表达形式的推导,在保持原书编排风格的同时,不仅增强了原公式表达的逻辑性,而且,新的补充公式的推导,使教材中通过算例显示并强调的信号估值及其方差的特性,从理论上得到了较为严谨的证明.

Teaching discussions about linear interpolation of stationary function

Stationary function's linear interpolation is one part of least square collocation.In the paper,additional formula inference was given to show the principles more clearly combining with the traditional textbook which adopts general principle of surveying adjustment,the style of the book was preserved and the logicality was also strengthened by the inference.Some important conclusions were proved theoretically other than shown by the book's practical calculation examples.