When we take the Complex conjugate sign inside the Integral (Second Equation), we can conclude that the equation inside blue box is complex conjugate of the top equation "ONLY IF H(.) Real". well so my question is why h(.) has to be real ?
2026-05-10 18:58:37.1778439517
Complex Conjugate confusion
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Because otherwise$$\overline{h(\lambda)e^{-j\omega\lambda}}=\overline{h(\lambda)}e^{-j(-\omega)\lambda}.$$Why should the RHS be equal to $\displaystyle h(\lambda)e^{-j(-\omega)\lambda}$?