We first define real-valued quantities α and β to be the real and imaginary components of γ; i.e., α≜ \[\beta \tr...We first define real-valued quantities \alpha and \beta to be the real and imaginary components of \gamma; i.e., \alpha \triangleq \mbox{Re}\left\{\gamma\right\} \nonumber \beta \triangleq \mbox{Im}\left\{\gamma\right\} \nonumber and subsequently \gamma = \alpha + j\beta \nonumber Then we observe e^{\pm\gamma z} = e^{\pm\left(\alpha+j\beta\right)z} = e^{\pm\alpha z}~e^{\pm j\beta z} \nonumber It may be easier to interpret this expression by reverting to the time …
We first define real-valued quantities \alpha and \beta to be the real and imaginary components of \gamma; i.e., \alpha \triangleq \mbox{Re}\left\{\gamma\right\} \nonumber \[\beta \tr...We first define real-valued quantities \alpha and \beta to be the real and imaginary components of \gamma; i.e., \alpha \triangleq \mbox{Re}\left\{\gamma\right\} \nonumber \beta \triangleq \mbox{Im}\left\{\gamma\right\} \nonumber and subsequently \gamma = \alpha + j\beta \nonumber Then we observe e^{\pm\gamma z} = e^{\pm\left(\alpha+j\beta\right)z} = e^{\pm\alpha z}~e^{\pm j\beta z} \nonumber It may be easier to interpret this expression by reverting to the time …
