Fast Fourier Transform Harmonic Analysis Class

Resource Overview

A Fast Fourier Transform (FFT) harmonic analysis class implementation with matchstick plot generation capabilities

Detailed Documentation

This documentation describes a harmonic analysis class implementation utilizing Fast Fourier Transform (FFT) techniques. The class provides comprehensive signal spectrum analysis capabilities and includes functionality for generating matchstick plots. Fast Fourier Transform is a mathematical algorithm that converts signals from the time domain to the frequency domain, enabling better understanding of spectral characteristics through efficient O(n log n) computation. The implementation typically involves windowing functions, zero-padding optimization, and frequency bin calculations to ensure accurate spectral representation. Matchstick plots serve as a visual representation method that intuitively displays signal spectrum distribution using vertical lines (resembling matchsticks) at harmonic frequencies, with heights corresponding to amplitude magnitudes. Key methods in the class likely include fft_analysis() for spectral computation and generate_matchstick_plot() for visualization. Through this program, users can efficiently perform FFT-based harmonic analysis and generate matchstick plots to visualize spectral characteristics with proper scaling and labeling features.