Computing Frequency-Domain Coherence Function and Cross-Power Spectrum for Two Signals

Resource Overview

This program calculates the frequency-domain coherence function and cross-power spectrum between two input signals, implementing robust spectral analysis algorithms with proper windowing and averaging techniques.

Detailed Documentation

This program enables you to compute the frequency-domain coherence function and cross-power spectrum for two signals. The frequency-domain coherence function measures the degree of similarity between two signals across different frequency components, while the cross-power spectrum reveals the power distribution relationship between the signals. The implementation typically involves Fourier transforms, windowing functions (such as Hanning or Hamming windows), and spectral averaging to reduce variance. By utilizing these calculations, you can conduct deeper investigations into signal relationships and derive more comprehensive conclusions about signal interactions and dependencies. The algorithm ensures proper normalization and handles complex signal cases through appropriate mathematical processing of the spectral densities.