Plotting high frequency sinusoid with sympy produces distorted plot

Question

I am building a lesson on radio modulation mathematics in a Jupyter notebook. I want to produce a graph showing the flat envelope of a simple sinusoid so I can compare it to the envelope of the product of two sinusoids.

I am representing my sinusoid as a sympy expression, albeit with a rather high frequency. When I plot it, the resulting graph is heavily distorted.

from sympy import *
%matplotlib inline

t = symbols('t')
f_carrier = 10000

carrier = cos(2*pi*f_carrier * t)
plot(carrier, (t, -0.001, 0.001))

Making the domain tighter (-0.0005 to 0.0005) produces less distortion, but still some:

Lower frequencies (with proportional domains), become progressively less distorted.

Asked By: hspil

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Source

Answer 1

for plot following the documentation, you should set the adaptive argument to False to allow custom number of points and set nb_of_points parameter of plot to a high number to increase its smoothness. (typically 10 points per cycle)

from sympy import *
%matplotlib inline

t = symbols('t')
f_carrier = 10000

carrier = cos(2*pi*f_carrier * t)
plot(carrier, (t, -0.001, 0.001),adaptive = False,nb_of_points =1000)

Answered By: Ahmed AEK

Plotting high frequency sinusoid with sympy produces distorted plot

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