Struct ComplexMexicanHat 

pub struct ComplexMexicanHat {
    pub omega0: f64,
}

Complex Mexican Hat (Ricker) Wavelet

A complex version of the Mexican Hat wavelet, excellent for detecting singularities and discontinuities in financial data such as jumps, crashes, or sudden volatility changes.

Mathematical form: ψ(t) = (1 - t²) * exp(-t²/2) * exp(iω₀t)

Fields

omega0: f64

Central frequency parameter

Implementations

impl ComplexMexicanHat

pub fn new(omega0: f64) -> Self

Create a new Complex Mexican Hat wavelet

pub fn for_jump_detection() -> Self

Create version optimized for jump detection in financial data

Trait Implementations

impl Clone for ComplexMexicanHat

fn clone(&self) -> ComplexMexicanHat

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl ContinuousWavelet for ComplexMexicanHat

fn wavelet_function(&self, t: f64, scale: f64) -> Complex<f64>

Get the wavelet function value at position t for scale a

fn center_frequency(&self) -> f64

Get the center frequency of the wavelet

fn bandwidth(&self) -> f64

Get the bandwidth parameter

fn is_complex(&self) -> bool

Check if the wavelet is complex-valued

fn recommended_scales( &self, signal_length: usize, sampling_freq: f64, ) -> Vec<f64>

Get recommended scale range for a given signal length and sampling frequency

impl Debug for ComplexMexicanHat

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

Formats the value using the given formatter.

impl Default for ComplexMexicanHat

fn default() -> Self

Returns the “default value” for a type.