Fourier synthesis

Fourier synthesis is a mathematical process that constructs complex signals by adding together simpler waveforms, called sine and cosine waves, each with different frequencies, amplitudes, and phases. Think of it like building a detailed image from basic building blocks—by combining these simple waves, you can recreate complex patterns such as sound, light, or other signals. This technique is fundamental in many fields like audio processing, communications, and image analysis, enabling us to analyze, modify, or generate intricate signals by understanding and manipulating their basic wave components.