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Continuous Fourier Transform

Extends Fourier series to non-periodic functions by letting the period go to infinity: X(f) = ∫ x(t) e^{-i2πft} dt maps a time-domain signal to a complex-valued density over all frequencies, with magnitude giving amplitude and argument giving phase at each frequency.

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Extends Fourier series to non-periodic functions by letting the period go to infinity: X(f) = ∫ x(t) e^{-i2πft} dt maps a time-domain signal to a complex-valued density over all frequencies, with magnitude giving amplitude and argument giving phase at each frequency.

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