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  2. Nyquist stability criterion - Wikipedia

    en.wikipedia.org/wiki/Nyquist_stability_criterion

    A Nyquist plot is a parametric plot of a frequency response used in automatic control and signal processing. The most common use of Nyquist plots is for assessing the stability of a system with feedback. In Cartesian coordinates, the real part of the transfer function is plotted on the X-axis while the imaginary part is plotted on the Y-axis ...

  3. Hall circles - Wikipedia

    en.wikipedia.org/wiki/Hall_circles

    Nichols plot of the transfer function 1/s(1+s)(1+2s) along with the modified M and N circles. To use the Hall circles, a plot of M and N circles is done over the Nyquist plot of the open-loop transfer function. The points of the intersection between these graphics give the corresponding value of the closed-loop transfer function.

  4. Hopsan - Wikipedia

    en.wikipedia.org/wiki/HOPSAN

    It is also possible to perform Monte Carlo sensitivity analysis. The plotting tool is capable of generating frequency spectrums and performing frequency analysis to generate Bode diagrams and Nyquist plots. Hopsan models can be exported to Simulink. Plot data can be exported to XML, CSV, gnuplot and Matlab.

  5. Nichols plot - Wikipedia

    en.wikipedia.org/wiki/Nichols_plot

    A Nichols plot. The Nichols plot is a plot used in signal processing and control design, named after American engineer Nathaniel B. Nichols. [1] [2] [3] It plots the phase response versus the response magnitude of a transfer function for any given frequency, and as such is useful in characterizing a system's frequency response.

  6. Optical transfer function - Wikipedia

    en.wikipedia.org/wiki/Optical_transfer_function

    As the optical transfer function of these systems is real and non-negative, the optical transfer function is by definition equal to the modulation transfer function (MTF). Images of a point source and a spoke target with high spatial frequency are shown in (b,e) and (c,f), respectively.

  7. Root locus analysis - Wikipedia

    en.wikipedia.org/wiki/Root_locus_analysis

    The following MATLAB code will plot the root locus of the closed-loop transfer function as varies using the described manual method as well as the rlocus built-in function: % Manual method K_array = ( 0 : 0.1 : 220 ). ' ; % .' is a transpose.

  8. Control theory - Wikipedia

    en.wikipedia.org/wiki/Control_theory

    in the open left half of the complex plane for continuous time, when the Laplace transform is used to obtain the transfer function. inside the unit circle for discrete time, when the Z-transform is used. The difference between the two cases is simply due to the traditional method of plotting continuous time versus discrete time transfer functions.

  9. Undersampling - Wikipedia

    en.wikipedia.org/wiki/Undersampling

    The fourth graph depicts the spectral result of sampling at the same rate as the baseband function. The rate was chosen by finding the lowest rate that is an integer sub-multiple of A and also satisfies the baseband Nyquist criterion: f s > 2B. Consequently, the bandpass function has effectively been converted to baseband.