ā–¼ Signal / Function
ā–¼ Parameters
ā–¼ Noise & Filter
ā–¼ Window Function iWindow FunctionsApplied before FFT to reduce spectral leakage. Rectangular = sharp edges ā†’ side lobes. Hann/Hamming = smooth edges ā†’ cleaner spectrum.
ā–¼ šŸ–¼ļø 2D Image FFT i2D Image FFTUpload any image ā†’ converted to grayscale ā†’ 2D FFT computed. The magnitude shows frequency content: center = low freq (smooth), edges = high freq (detail). Mask frequencies and reconstruct!
ā–¼ Actions & Demos
xReal Space f(x)
Ī”x: ā€”Energy: ā€”
kFourier Space F(k)
Ī”k: ā€”Energy: ā€”

šŸŒŠ Wave Interpretation

x = position, k = wavenumber. The transform decomposes a wave into its frequency components.

Measurements

Ī”x (spread)ā€”
Ī”k (spread)ā€”
Ī”xĀ·Ī”kā€”
Peak freqā€”
Parseval LĀ²ā€”
Parseval FĀ²ā€”

Transform

F(k) = āˆ« f(x) eā»ā±įµĖ£ dx
f(x) = (1/2Ļ€) āˆ« F(k) eā±įµĖ£ dk

Physics

Uncertainty

Ī”x Ā· Ī”k ā‰„ Ā½
Heisenberg: Ī”xĀ·Ī”p ā‰„ ā„/2 | Ī”x = ā€” Ī”k = ā€” Product = ā€”
šŸ–¼ļø Image FFT Mode | Brush: Mask: Click right canvas to mask frequencies