Struct ComplexPaul 

pub struct ComplexPaul {
    pub order: u32,
}

Complex Paul Wavelet

The Paul wavelet is particularly good for detecting oscillatory patterns and modulated signals in financial time series. It has asymmetric time localization properties.

Mathematical form: ψ(t) = 2^m * i^m * m! / (π * (m + 1/2)!) * (1 - it)^(-m-1)

Fields

order: u32

Order parameter (m)

Implementations

impl ComplexPaul

pub fn new(order: u32) -> Self

Create a new Complex Paul wavelet

pub fn for_oscillations() -> Self

Create version optimized for oscillation detection

Trait Implementations

impl Clone for ComplexPaul

fn clone(&self) -> ComplexPaul

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl ContinuousWavelet for ComplexPaul

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 ComplexPaul

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

Formats the value using the given formatter.

impl Default for ComplexPaul

fn default() -> Self

Returns the “default value” for a type.