2.2j.5 Bode Plots

Bode Plot

A bode plot are graphical representations of the frequency response of a system. It consists of two separate plots that display how the system’s magnitude and phase responds to different values of $\omega$ on the logarithmic scale.

The magnitude of a transfer function $H(j\omega )$ in decibels (SI: dB) is given by
$20{\log }_{10}|H(j\omega )|,$
and the phase of a transfer function is given by
$\varphi ={\tan }^{-1}\frac{\mathrm{Im}\{H(j\omega )\}}{\mathrm{Re}\{H(j\omega )\}}.$

Intuition