A visualization of the Discrete Fourier Transform (DFT), which connects time and frequency.
This shows the signal wave f(t) as it changes over time. Just like a microphone recording.
f(t)
It is constructed by summing up multiple pure sine waves.
This shows the "recipe" of the wave. The height of each bar represents how much of that specific frequency is present in the signal.
Interactive: You can draw on this graph! Click and drag to add or remove frequencies and watch the Time Domain change instantly.
Any periodic signal can be decomposed into a sum of sines and cosines. This is the foundation of MP3s, JPEGs, and radio communication.