12.9. Frequency Response Representation

The frequency response can be represented in any of the following forms:

  • Bode or logarithmic plot

  • Nyquist or polar plot

  • Log-magnitude versus phase plot (Nichols plots)

To plot the frequency response, a vector of frequencies (varying between zero and infinity) is created and the values of system transfer function at those frequencies are computed. If G(s) is the open-loop transfer function of a system and ω is the frequency vector, then a graph of G() versus ω is plotted. Since G(jω) is a complex number, frequency response plots consist of both its magnitude and phase versus ω (i.e. Bode plot) or its position in the complex plane (i.e. Nyquist Plot). The log-magnitude versus phase angle plot (i.e. Nichols ...

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