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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.
It is usually a combination of a Bode magnitude plot, expressing the magnitude (usually in decibels) of the frequency response, and a Bode phase plot, expressing the phase shift. As originally conceived by Hendrik Wade Bode in the 1930s, the plot is an asymptotic approximation of the frequency response, using straight line segments .
Bode plot, Nyquist stability criterion, Nichols plot, and root locus are the usual tools for SISO system analysis. Controllers can be designed through the polynomial design, root locus design methods to name just two of the more popular. Often SISO controllers will be PI, PID, or lead-lag.
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.
Transient tools: FFT, XY plot, eye diagram, amplitude histogram, and more; AC tools: Smith chart, Nyquist plot, Nichols plot; Post-processing: performs various mathematical operations on transient and AC results; Command line, script (C-language) HTTP interface: built-in HTTP server; Interface to some oscilloscope models through VISA interface
Bandwidth (signal processing) Bandwidth expansion; Baseband; Baudhayana sequences; Beamforming; Beat detection; Beta encoder; BIBO stability; Bilinear time–frequency distribution; Biot–Tolstoy–Medwin diffraction model; Bit banging; Blackman's theorem; Blind deconvolution; Blind equalization; Blind signal separation; Block transform; Bode plot
Nyquist plots graph magnitude and phase parametrically against frequency in polar form; Nichols plots graph magnitude and phase parametrically against frequency in rectangular form; For the design of control systems, any of the three types of plots may be used to infer closed-loop stability and stability margins from the open-loop frequency ...
Magnitude transfer function of a bandpass filter with lower 3 dB cutoff frequency f 1 and upper 3 dB cutoff frequency f 2 Bode plot (a logarithmic frequency response plot) of any first-order low-pass filter with a normalized cutoff frequency at =1 and a unity gain (0 dB) passband.