EWTResult

Struct EWTResult 

pub struct EWTResult {
    pub components: Vec<Vec<f64>>,
    pub coefficients: Vec<Vec<f64>>,
    pub boundaries: Vec<f64>,
    pub gamma: f64,
    pub filter_responses: Vec<Vec<f64>>,
}
Expand description

Result of an ewt decomposition.

EWT exposes the bands in two complementary forms because the issue acceptance criteria (exact Σ reconstruction and Parseval) cannot hold simultaneously on a single set of smooth-filter outputs. Use Self::components when you want a sum-to-signal decomposition, and Self::coefficients when you need per-band energy that adds up to the signal energy. See the module-level doc for the math.

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§components: Vec<Vec<f64>>

N + 1 reconstructed bandpass modes, where N = boundaries.len() is the number of detected boundaries. components[k] = IFFT(|Ĥ_k|² · X̂) for k = 0..=N. By construction Σ components[k] ≡ x to within FFT round-off (Meyer energy partition). Per-band energies do not sum to ‖x‖² — use Self::coefficients for that.

§coefficients: Vec<Vec<f64>>

N + 1 canonical EWT analysis coefficients (Gilles 2013 W_f(k, t)), one per band: coefficients[k] = IFFT(Ĥ_k · X̂). These satisfy strict Parseval Σ_k ‖coefficients_k‖² = ‖x‖² and are the right quantity for per-band energy accounting, instantaneous-frequency tracking, or feeding into other DSP that expects wavelet coefficients. They do not sum to x — see Self::components for that.

§boundaries: Vec<f64>

Detected boundary frequencies in ascending order, all strictly inside (0, ω_max) where ω_max = 2π · (n / 2) / n is the highest representable DFT bin (= π for even n, π · (n − 1) / n for odd n). boundaries.len() == components.len() − 1.

§gamma: f64

Resolved Meyer transition-width parameter — the value GammaStrategy::Auto computed, or the GammaStrategy::Fixed value the caller supplied. Diagnostic only; not used by iewt.

§filter_responses: Vec<Vec<f64>>

Per-band Meyer responses |Ĥ_k(ω)| on the half-spectrum grid ω_k = 2π · k / signal_len. The energy partition Σ |Ĥ_k(ω)|² ≡ 1 holds on this grid. Useful for plotting the filter bank; not used by iewt.

Trait Implementations§

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impl Clone for EWTResult

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fn clone(&self) -> EWTResult

Returns a duplicate of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Debug for EWTResult

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

Formats the value using the given formatter. Read more

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