Transform signals between time and frequency domains. Overview The Fourier Transform decomposes a signal into its constituent frequencies, revealing the frequency content of time-domain signals. Continuous Fourier Transform (CFT) Forward Transform

$$ X(f) = \int_{-\infty}^{\infty} x(t) e^{-j2\pi ft} dt $$

Inverse …

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Reduce spectral leakage in FFT analysis. Common Windows Rectangular (No Window)

$$w[n] = 1$$

Hanning

$$w[n] = 0.5 \left(1 - \cos\left(\frac{2\pi n}{N-1}\right)\right)$$

Hamming

$$w[n] = 0.54 - 0.46\cos\left(\frac{2\pi n}{N-1}\right)$$

Blackman $$w[n] = 0.42 - 0.5\cos\left(\frac{2\pi n}{N-1}\right) + …

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