Fractal DimensionThe Fractal Dimension study measures the dimensionality of the signal over time. It is a measure of how "complicated" a self-similar figure is. Mathematically, it equates to
FD(n) = log(PathLength) / log(AbsoluteLength)
where PathLength is the sum of all distances within the signal between the current point and n points ago,
and AbsoluteLength is the direct distance between the current point and n points ago.
The Fractal Dimension will tend toward 1.0 when the signal approaches a straight line, and increases along with its volatility. It is useful in spotting consolidations ahead of a price move.