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 …

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) + …