Struct ZTransform 

pub struct ZTransform;

Z-transform: X(z) = sum_{n=0}^{N-1} x[n] * z^{-n}

Implementations

impl ZTransform

pub fn transform(signal: &[f64], z: Complex64) -> Complex64

Compute the Z-transform of a discrete signal at a given complex point z.

pub fn dtft(signal: &[f64], omega: f64) -> Complex64

Evaluate the Z-transform on the unit circle (z = e^{jω}), equivalent to the DTFT.

pub fn frequency_response(signal: &[f64], frequencies: &[f64]) -> Vec<Complex64>

Compute the frequency response at multiple frequencies.

pub fn magnitude_response_db(signal: &[f64], frequencies: &[f64]) -> Vec<f64>

Compute the magnitude response in dB.

pub fn phase_response(signal: &[f64], frequencies: &[f64]) -> Vec<f64>

Compute the phase response in radians.

pub fn zeros(signal: &[f64]) -> Vec<Complex64>

Check stability of an FIR filter (all zeros inside unit circle). For IIR, you’d need pole analysis.

pub fn first_order_transfer( z: Complex64, b0: f64, b1: f64, a1: f64, ) -> Complex64

Transfer function of a first-order system: H(z) = b0 + b1z^{-1} / (1 + a1z^{-1})

pub fn group_delay(signal: &[f64], omega: f64, d_omega: f64) -> f64

Compute group delay at a given frequency.

Trait Implementations

impl Clone for ZTransform

fn clone(&self) -> ZTransform

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for ZTransform

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

Formats the value using the given formatter.

impl<'de> Deserialize<'de> for ZTransform

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Serialize for ZTransform

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.