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Delay is the negative derivative of phase with respect to frequency. Phase that increases linearly negative as frequency increases will result in a positive (later) delay in time. This is given by the Fourier Transform property of time delay: $$\mathscr{F} \{f(t-\tau)\} = e^{-j\tau \omega}F(\omega)$$ And is easy to prove from the Fourier Transform: $$\...

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