From where did this ${\angle}H{(\Omega)}$ came into power of $e$ ?

EDx Notes


$H(\Omega)$ is a complex number. $Ae^{j(\Omega t + \phi)}$ is another complex number, expressed in polar format by its magnitude $A$ and phase $\Omega t + \phi$. When you multiply complex numbers in this format, you simply multiply their magnitudes and sum their phases. Thus:

$$ H(\Omega)Ae^{j(\Omega t + \phi)} = |H(\Omega)| Ae^{j(\Omega t + \phi \angle H(\Omega))} $$

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  • $\begingroup$ Got it here Modulus representing Magnitude.... thank you sir!!!! $\endgroup$ – fpsshubham Nov 3 '17 at 12:30

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