Struct EMDResult 

pub struct EMDResult {
    pub imfs: Vec<IMF>,
    pub residue: Vec<f64>,
    pub iterations: Vec<usize>,
}

EMD result containing all IMFs and the residue

Fields

imfs: Vec<IMF>

The extracted IMFs (from highest to lowest frequency)

residue: Vec<f64>

The residue (trend component)

iterations: Vec<usize>

Number of sifting iterations for each IMF

Implementations

impl EMDResult

pub fn reconstruct(&self) -> Vec<f64>

Reconstruct the original signal from IMFs and residue

pub fn get_trend(&self, n_components: usize) -> Vec<f64>

Get the trend component (sum of low-frequency IMFs and residue)

pub fn validate_imfs(&self) -> Vec<bool>

Validate the quality of extracted IMFs

Returns a vector of booleans indicating which IMFs satisfy the IMF conditions

pub fn all_imfs_valid(&self) -> bool

Check if all IMFs are valid

impl EMDResult

pub fn orthogonality_index(&self) -> f64

Huang index of orthogonality (IO) for the IMF set, per Huang et al. 1998 §5 Eq 5.5:

IO = Σ_i Σ_{j ≠ i} |⟨IMFᵢ, IMFⱼ⟩| / ‖x‖²

The per-term absolute value matters — summing signed inner products first and taking .abs() once at the end lets positive and negative cross-correlations cancel, masking non-orthogonality.

EMDResult doesn’t carry the original input signal, so the denominator uses reconstruct() as a stand-in. For a well-behaved decomposition the reconstructed signal equals the input within machine precision; for a pathological one the difference is itself a non-orthogonality signal and the IO will be conservatively large.

pub fn orthogonality_matrix(&self) -> Vec<Vec<f64>>

Pairwise normalized orthogonality matrix between IMFs.

pub fn imf_compliance(&self, window_len: usize) -> Vec<f64>

Fraction of windows in each IMF satisfying local IMF conditions.

pub fn mode_mixing_index(&self) -> Vec<f64>

Normalized Welch-PSD overlap between adjacent IMFs.

Trait Implementations

impl Clone for EMDResult

fn clone(&self) -> EMDResult

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for EMDResult

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.