Fourier Transform: F(ω)=∫ ∞/−∞ f(x)⋅e−iωxdx

The canvas transforms into a realm of harmonic illusions as the Fourier Transform weaves its enchanting spell. Vibrant frequencies converge and diverge, creating intricate patterns that reflect the harmonious beauty hidden within complex signals.

The Fourier transform is a mathematical transformation that decomposes a function or signal in the time domain into its constituent frequencies in the frequency domain. It is a fundamental tool used in various fields such as signal processing, image analysis, communication systems, quantum mechanics, and more. The Fourier transform allows us to represent a function or signal in terms of its frequency components, revealing information about its underlying oscillatory behavior.