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The impulse response of a dynamic system is its output when presented with a brief input signal, called an impulse.

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It was given as a fact that linear phase filters have symmetric impulse responses, but I don't see why that has to be true. Can somebody please explain or prove this?
asked Jan 25 '17 by CAJ
10
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Actually, I think I see why. $$X(j\Omega) = |X(j\Omega)|e^{-j\theta(\Omega)}$$ $|X(j\Omega)|$ is purely real, and therefore if we take the IFT it is even and symmetric. $\theta(\Omega)= a\Omega$ si …
answered Jan 25 '17 by CAJ