# Asymptotic bode plotter online dating

It is the graphical representation of a linear, time-invariant system transfer function.

Bode plot graph is the combination of magnitude and phase shift.

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The rules for drawing the magnitude plot are the following: Again, yes, it is that simple!

The magnitude of the system is taken from the absolute value of the magnitude: $$|H(s)| = \left|A\frac \right|$$ $$|H(s)| = |A|\sqrt$$ The phase of the system is taken from the contribution of each pole and zero for the total phase.

Try out these examples: $$H(s) = \frac$$ $$H(s) = \frac$$ $$H(s) = \frac$$ Up until now we dealt with real poles and zeros: the asymptotic plots are pretty close to the transfer function plots. Will the rules for drawing the asymptotic plots change? Notice that we took the real part of the poles or zeros to draw the plots (which in the previous case was all there was). If we take the real part of the complex poles or zeros, the asymptotic approximation does not capture the effect of the imaginary part.

First of all, complex poles or zeros come in pairs, so for every complex zero or pole, the transfer function will also have its conjugate (with the imaginary part negated).

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For example, a simple first-order low pass filter has a single pole, while a first-order high pass filter has a pole and a zero.

The concatenation of these and other higher-order (more poles and zeros) linear systems can give rise to a large expression, but always with the factorization of poles and zeros as in the expression above.

$$\angle H(s) = \angle A - \tan^(\frac) - \tan^(\frac) - \cdots - \tan^(\frac) \tan^(\frac) \tan^(\frac) \cdots \tan^(\frac)$$ Now let's compare the asymptotic plots with the transfer function plots.

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