Struct MexicanHat 

pub struct MexicanHat { /* private fields */ }

Mexican Hat (Ricker) Wavelet

The Mexican Hat wavelet is the negative normalized second derivative of a Gaussian function. It’s real-valued and symmetric.

ψ(t) = (2/(√3σ π^(1/4))) * (1 - t²/σ²) * exp(-t²/2σ²)

Implementations

impl MexicanHat

pub fn new(sigma: f64) -> Self

Create a new Mexican Hat wavelet with given width parameter

pub fn with_default_sigma() -> Self

Create Mexican Hat wavelet with default σ = 1.0

Trait Implementations

impl Clone for MexicanHat

fn clone(&self) -> MexicanHat

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl ContinuousWavelet for MexicanHat

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 MexicanHat

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

Formats the value using the given formatter.

impl Default for MexicanHat

fn default() -> Self

Returns the “default value” for a type.