Tag Info

Anything related to Bode plots, i.e. a special graphical representation of the frequency response of a linear time-invariant system.

Anything related to Bode plots, i.e. a special graphical representation of the frequency response of a linear time-invariant system, which is a complex-valued function of frequency describing how the systems reacts to sinusoidal signals of different frequency.

The frequency response $H(f)$ of a system is related to (and sometimes mistakenly confused with) its transfer function $G(s)$ by the formula:

$$H(f) = G(j 2 \pi f)$$

Bode plots are the plots of the amplitude (in decibels) and phase components of the complex-valued function $H(f)$ versus frequency (this latter in logarithmic units), i.e.:

The plots of $$20\;log_{10}|H(f)|$$ and $$arg(H(f))$$ versus logarithmic frequency are the Bode magnitude plot and the Bode phase plot respectively.