7.3 Complex Conjugate

Complex Conjugate

The complex conjugate of a complex number is formed by changing the sign of its imaginary part. For a complex number $z=a+bj=A{e}^{j\theta }$ , where $a$ and $b$ are real numbers and $i$ is the imaginary unit (with  $i^2=-1$), the complex conjugate of $z$ is denoted by  $z\text{textasteriskcentered}$  and is defined as:
$z\text{textasteriskcentered}=a-bi=A{e}^{-j\theta }.$