How the symmetries of the magnitude and phase change

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Question: Prove that for a real h(t), the magnitude |H(jω)| has even symmetry and the phase angle ∠H(jω)  has odd symmetry, i.e.,

|H(jω)| = |H(-jω)|

∠H(jω) = -∠H(-jω)

If h(t) is purely imaginary, describe how the symmetries of the magnitude and phase change.

Reference no: EM131532648

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