The relation between magnetic range values and spectral power

Abstract

Spectral power is shown to be proportional to the square of the range of variables with a normal distribution. Plots of log-power versus log range for 3 hr intervals of data from Canadian magnetic observatories show a close fit to a straight line with a slope of 2. The same results are obtained from all sites in the Canadian magnetic observatory network, which extends from the polar cap to auroral and sub-auroral latitudes. This indicates that a square-law relation between spectral power and range is a general property of magnetic field variations.