Struct VmdRedundancy 

pub struct VmdRedundancy {
    pub center_freq_separation: Vec<((usize, usize), f64)>,
    pub energy_ratio: Vec<((usize, usize), f64)>,
    pub correlation: Vec<((usize, usize), f64)>,
}

Per-pair redundancy metrics for diagnosing over-specified K.

VMD with too-large K can either (a) leave excess modes with vanishing energy, or (b) split a real mode across two adjacent ω_k (both halves keep meaningful energy). A single energy-based test only catches case (a); the three metrics here jointly catch both.

Pairs are enumerated (i, j) with i < j, in the same order across all three vectors.

Fields

center_freq_separation: Vec<((usize, usize), f64)>

|ω_i − ω_j| for each pair, in normalized frequency [0, 0.5].

energy_ratio: Vec<((usize, usize), f64)>

min(E_i, E_j) / max(E_i, E_j) ∈ [0, 1]. Near 1 indicates a mode-splitting failure (two roughly equal modes); near 0 indicates excess modes (case a).

correlation: Vec<((usize, usize), f64)>

|⟨u_i, u_j⟩| / (‖u_i‖ · ‖u_j‖) ∈ [0, 1]. Wang et al. and Liu et al. both treat high inter-mode correlation as the most reliable redundancy signal — band-limited modes around distinct frequencies are nearly orthogonal in time domain.

Implementations

impl VmdRedundancy

pub fn redundant_pairs( &self, omega_sep_max: f64, correlation_min: f64, ) -> Vec<(usize, usize)>

Pairs flagged as redundant: separation below omega_sep_max and correlation above correlation_min. Suggested thresholds: 0.01 and 0.5 respectively (tune per signal class).

Trait Implementations

impl Clone for VmdRedundancy

fn clone(&self) -> VmdRedundancy

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for VmdRedundancy

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

Formats the value using the given formatter.