Higuchi fractal dimension

Slope of log(L(k)) vs. log(1/k) over k = 1..kmax curve-length scales. Returns a value in approximately \[1, 2\] for real signals.

Usage

morie_dsp_higuchi_fd(x, kmax = 10L)

Arguments

x

Numeric vector.

kmax

Maximum scale. Default 10.

Value

Scalar fractal dimension.

References

Rangayyan & Krishnan (2015), Ch. 5, sec. 5.7; Higuchi (1988).

Examples

t <- seq.int(0, 1023) / 1024
x <- sin(2 * pi * 8 * t)
morie_dsp_higuchi_fd(x, kmax = 6L)
#> [1] 1.003422