Plotting A Sawtooth Wave Using Scipy, Numpy And Matplotlib

Overview:

  • A sawtooth wave is a periodic waveform and it is non-sinusoidal.

 

  • A sawtooth wave rises upwards and drops sharply.  A sawtooth wave can also go down and rise sharply which is called as  "reverse sawtooth wave" or "inverse sawtooth wave".

 

  • Saw tooth waves have their applications in music synthesizers, in CRT based video displays and in Oscilloscopes.

 

  • Sawtooth waves can be plotted using the python libraries scipy and matplolib.

 

  • The function signal.sawtooth() returns a periodic sawtooth waveform or a triangular waveform.

 

 

Example:

# import the required python modules

import numpy as np

from scipy import signal

import matplotlib.pyplot as plot

 

# Create 1000 linearly separated points with values between 0 to 1

timePoints = np.linspace(0, 1, 500)

 

# Sawtooth wave frequency 5Hz; sampling frequency 500 Hz

plot.plot(timePoints, signal.sawtooth(2 * np.pi * 5 * timePoints))

 

# Give a title for the sawtooth wave plot

plot.title('Sqaure wave - 5 Hz sampled at 1000 Hz /second')

 

# Give x axis label for the sawtooth wave plot

plot.xlabel('Time')

 

# Give y axis label for the sawtooth wave plot

plot.ylabel('Amplitude')

 

plot.grid(True, which='both')

 

# Provide x axis and line color

plot.axhline(y=0, color='k')

 

# Set the max and min values for y axis

plot.ylim(-2, 2)

 

# Display the sawtooth wave plotted

plot.show()

 

Output:

saw tooth wave plotted using scipy


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