sa2fd.sda: Informed Dimension estimate from SDA slope.

In FredHasselman/nlRtsa: nonlineaR time seRies analysis.

Description

Conversion formula: Standardised Dispersion Analysis (SDA) estimate of self-affinity parameter (SA) to an informed estimate of the fractal dimension (FD).

Usage

## S3 method for class 'sda'
sa2fd(sa)

Arguments

sa	Self-afinity parameter estimate based on SDA slope (e.g., fd.sda)).

Details

Note that for some signals different PSD slope values project to a single SDA slope. That is, SDA cannot distinguish between all variaties of power-law scaling in the frequency domain.

Value

An informed estimate of the Fractal Dimension, see Hasselman(2013) for details.

Author(s)

Fred Hasselman

References

Hasselman, F. (2013). When the blind curve is finite: dimension estimation and model inference based on empirical waveforms. Frontiers in Physiology, 4, 75. http://doi.org/10.3389/fphys.2013.00075

See Also

Other SA to FD converters: sa2fd.dfa, sa2fd.psd

Examples

# Informed FD of white noise
sa2fd.sda(-0.5)

# Informed FD of Brownian noise
sa2fd.sda(-1)

# Informed FD of blue noise
sa2fd.sda(-0.9)

FredHasselman/nlRtsa documentation built on May 6, 2019, 5:07 p.m.