Given some function x = a + j b {\displaystyle x=a+jb} ,
x + x ∗ = a + j b + a − j b = a + a = 2 R e [ x ] {\displaystyle x+x^{*}=a+jb+a-jb=a+a=2Re[x]}
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![{\displaystyle x+x^{*}=a+jb+a-jb=a+a=2Re[x]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4fd6ce7edc432968b607a2a43171e29b88966fa1)