Function psd

pub fn psd(real: Vec<f32>, imag: Vec<f32>) -> Vec<f32>

Computes the Power Spectral Density (PSD) from the real and imaginary components of a signal.

The Power Spectral Density is a measure of the power of a signal per unit frequency. This function calculates the PSD by first computing the magnitude of the complex numbers represented by the real and imaginary components, and then calculating the power from the magnitude. The result is normalized by the number of points in the input vectors.

Parameters

• real: A vector of f32 values representing the real parts of the complex signal.
• imag: A vector of f32 values representing the imaginary parts of the complex signal.

Returns

A vector of f32 values representing the Power Spectral Density of the input signal. The length of the output vector will be the same as the input vectors.

Example

let real = vec![1.0, 0.0, 0.0, 0.0]; // Example real input
let imag = vec![0.0, 0.0, 0.0, 0.0]; // Example imaginary input
let psd_values = psd(real, imag);

Note

The normalization step (dividing by n) is optional and can be adjusted based on specific requirements or conventions in your application.