Effects of coarse-graining on the scaling behavior of long-range correlated and anti-correlated signals

► We compare the effects of coarse-graining on signals with various scaling properties. ► The scaling of anti-correlated signals is observably affected. ► The scaling of positively correlated signals is less affected. ► For positively correlated signals random behavior occurs at small scales. ► For anti-correlated signals random behavior occurs at large scales.