Editing Bode plot (section)

== Definition ==
The Bode plot for a [[LTI system theory|linear, time-invariant]] system with [[transfer function]] <math> H(s) </math> (<math>s</math> being the complex frequency in the [[Laplace domain]]) consists of a magnitude plot and a phase plot.

The '''Bode magnitude plot''' is the graph of the function <math> |H(s=j \omega)|</math> of frequency <math> \omega</math> (with <math>j</math> being the [[imaginary unit]]). The <math> \omega</math>-axis of the magnitude plot is logarithmic and the magnitude is given in [[decibel]]s, i.e., a value for the magnitude <math>|H|</math> is plotted on the axis at <math>20 \log_{10} |H|</math>.

The '''Bode phase plot''' is the graph of the [[Argument (complex analysis)|phase]], commonly expressed in degrees, of the [[Argument (complex analysis)|argument function]] <math> \arg \left( H(s =j \omega) \right)</math> as a function of <math>\omega</math>. The phase is plotted on the same logarithmic <math>\omega</math>-axis as the magnitude plot, but the value for the phase is plotted on a linear vertical axis.