Fig. 1: The bitwise real information content is defined as the mutual information of bits in adjacent grid points.
From: Compressing atmospheric data into its real information content

a, Gridded data from a Cartesian, curvilinear or unstructured grid. b, Binary representation of every number in the data array. c, Analysis of the bits in the same bit position but from adjacent grid points. d, Calculation, for every bit position, of the mutual information between adjacent grid points, which is the bitwise real information content. e, A bit position contains more real information the stronger the statistical dependence to the adjacent bits is. Statistically independent bits contain only false information, which equals the entropy minus the real information. f, Bit positions that contain more than 99% of real information are preserved, while false information bits are removed by rounding to 0 to facilitate lossless compression.