Struct HilbertTransform 

pub struct HilbertTransform {
    pub real_part: Vec<f64>,
    pub imaginary_part: Vec<f64>,
    pub amplitude: Vec<f64>,
    pub phase: Vec<f64>,
}

Hilbert transform of a real signal, yielding the analytic signal.

The analytic signal is z[n] = x[n] + i*H{x}[n], where H{x} is the Hilbert transform. From this, instantaneous amplitude, phase, and frequency can be extracted.

Fields

real_part: Vec<f64>

Real part of the analytic signal (original signal).

imaginary_part: Vec<f64>

Imaginary part of the analytic signal (Hilbert transform).

amplitude: Vec<f64>

Instantaneous amplitude (envelope).

phase: Vec<f64>

Instantaneous phase in radians.

Implementations

impl HilbertTransform

pub fn compute(signal: &[f64]) -> Self

Compute the Hilbert transform of signal using FFT.

Returns the analytic signal components.

pub fn instantaneous_frequency(&self, fs: f64) -> Vec<f64>

Compute instantaneous frequency from the phase using finite differences.

fs is the sampling frequency in Hz. Phase unwrapping is applied before differencing.

Trait Implementations

impl Clone for HilbertTransform

fn clone(&self) -> HilbertTransform

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for HilbertTransform

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

Formats the value using the given formatter.