Spacial and Frequency Domain Calculation of Terrain Roughness Metric Root-Mean-Square (RMS).

摘要

This report documents the metric of root-mean-square (RMS) as a measure of terrain roughness- -- recognizing its limitations (assumes no "favored or predominate frequencies") and accepting its historical significance to this point as the Army's measure of terrain roughness. Based on mathematics of the Fourier transform and duality, calculations are performed in the spacial and frequency domains to show equivalent measures of terrain roughness metric RMS.