waves

FFT Signal Denoising

Build a noisy signal from multiple frequencies in 3D, then use the Fast Fourier Transform to recover the original. See denoising in action with live frequency spectrum before and after.

FFT Denoise

A-Level

The Fourier Transform decomposes a signal into its constituent frequencies. The FFT is a computationally efficient algorithm for this. By filtering out frequency components below a threshold, noise can be removed from a signal.

Signal Freq2.0Hz

Noise Level0.5

Filter0.3

📐 Formulas

X_k = \sum_{n=0}^{N-1} x_n e^{-i2\pi kn/N}Discrete Fourier Transform

📋 Syllabus

AQA3.13

OCR5.3.2