Asymptote plotting software

Verified by. Verified on. Hidden category: Entry. Navigation menu Personal tools Create account Log in. Namespaces Page Discussion. Views Read View form View source View history. Creation Submit a new Entry Create a Collection. Print Export pages. Notify me of new posts via email. Skip to content September 28, Peter Wang.

Ideal 3D graphics language: this is a list of features I need from an ideal 3D graphics language: Control geometries with 3D coordinates and parameters. Control textures, surface optical properties of materials. Control rendering perspectives and lighting. Asymptote stands out as probably my best choice: Tikz3d : discussed above.

PSTricks with pst-solides3d : these adopt the PostScript coding syntax that is very difficult to learn, and lots of the documentation are written in European languages such as French.

Asymptote with the latex packages asymptote and asypictureB. I start this blog to log the things I learned. The journey begins…. Share this: Twitter Facebook.

Like this: Like Loading Published by Peter Wang. Previous post Searching for accurate, controllable, artistic 3d plotting. Next post Getting started. The high frequency approximation is at shown in green on the diagram below. To draw a piecewise linear approximation, use the low frequency asymptote up to the break frequency, and the high frequency asymptote thereafter.

The resulting asymptotic approximation is shown highlighted in transparent magenta. The maximum error between the asymptotic approximation and the exact magnitude function occurs at the break frequency and is approximately -3 dB. Magnitude of a real pole: The piecewise linear asymptotic Bode plot for magnitude is at 0 dB until the break frequency and then drops at 20 dB per decade as frequency increases i.

At these frequencies We can write an approximation for the phase of the transfer function. We can write an approximation for the phase of the transfer function. A piecewise linear approximation is not as easy in this case because the high and low frequency asymptotes don't intersect. Instead we use a rule that follows the exact function fairly closely, but is also somewhat arbitrary. Its main advantage is that it is easy to remember. This line is shown above. Note that there is no error at the break frequency and about 5.

The second example shows a double pole at 30 radians per second. There is another approximation for phase that is occasionally used. The latter is shown on the diagram below. The development of the magnitude plot for a zero follows that for a pole. Refer to the previous section for details. The magnitude of the zero is given by. Magnitude of a Real Zero: For a simple real zero the piecewise linear asymptotic Bode plot for magnitude is at 0 dB until the break frequency and then increases at 20 dB per decade i.

The phase of a single real zero also has three cases which can be derived similarly to those for the real pole, given above :.

This example shows a simple zero at 30 radians per second. The asymptotic approximation is magenta, the exact function is the dotted black line. In this case there is no need for approximate functions and asymptotes, we can plot the exact funtion. It also goes through 20 dB at 0. Since there are no parameters i. This example shows a simple pole at the origin. The exact dotted black line is the same as the approximation magenta.

No interactive demo is provided because the plots are always drawn in the same way. This example shows a simple zero at the origin. The magnitude and phase plots of a complex conjugate underdamped pair of poles is more complicated than those for a simple pole.

This is the low frequency case. We can write an approximation for the magnitude of the transfer function. This is the high frequency case. That is, for every factor of 10 increase in frequency, the magnitude drops by 40 dB. It can be shown that a peak occurs in the magnitude plot near the break frequency. The derivation of the approximate amplitude and location of the peak are given here. We make the approximation that a peak exists only when. The resulting asymptotic approximation is shown as a black dotted line, the exact response is a black solid line.