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A phase margin of 60 degrees is also a magic number because it allows for the fastest settling time when attempting to follow a voltage step input (a Butterworth design). An amplifier with lower phase margin will ring [nb 1] for longer and an amplifier with more phase margin will take a longer time to rise to the voltage step's final level.
Using the value of f 0 dB = 1 kHz found above from the magnitude plot of Figure 8, the open-loop phase at f 0 dB is −135°, which is a phase margin of 45° above −180°. Using Figure 9, for a phase of −180° the value of f 180 = 3.332 kHz (the same result as found earlier, of course [ note 3 ] ).
Figure 5: Bode gain plot to find phase margin; scales are logarithmic, so labeled separations are multiplicative factors. For example, f 0 dB = βA 0 × f 1. Next, the choice of pole ratio τ 1 /τ 2 is related to the phase margin of the feedback amplifier. [9] The procedure outlined in the Bode plot article is followed. Figure 5 is the Bode ...
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The result is a phase margin of ≈ 45°, depending on the proximity of still higher poles. [ b ] This margin is sufficient to prevent oscillation in the most commonly used feedback configurations. In addition, dominant-pole compensation allows control of overshoot and ringing in the amplifier step response , which can be a more demanding ...
Timing Margin Illustration. In this image, the lower signal is the clock and the upper signal is the data. Data is recognized by the circuit at the positive edge of the clock. There are two time intervals illustrated in this image. One is the setup time, and the other is the timing margin. The setup time is illustrated in red in this image; the ...
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.
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