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.