# How to simulate a pwm semnal python script

## Question:

I need to Simulate Saw-Tooth voltage (4.5 – 0.5V) a total of 30 times . And I don’t know how to do it only with python scripts without special library or something. I have this function, but how I do it to work?

```
def PWM(t, frequency, dutyCycle):
#period = 1 / frequency
#pt = tt / period
pt = tt * frequency # "period" time, where 1 unit is 1 period on the "real" time stamp.
tc = pt - trunc(pt) # cycle time within 1 period. 0..1.
return 1 if tc < dutyCycle else 0 # where 1 means on and 0 means off
```

## Answers:

Not sure if this is what you want, but here you can see a function that given a time `t`

returns the amplitude of a saw-tooth signal with a certain frequency and dutyCycle.

The signal is normalized, you can shift the values if you need

```
import numpy as np
import matplotlib.pyplot as plt
def SawTooth(t, frequency, dutyCycle):
period = 1 / frequency
t_on = period * dutyCycle
t_off = period - t_on
# the modulo will return the remainder of time inside the current period
remainder = t % period
if remainder > t_on:
return 0
else:
return remainder / t_on
frequency = 50
dutyCycle = 0.5
samplingFreq = 10000
timeDuration = 0.1
# Generate 100ms of data with a sampling freq of 10k
t_ms = np.linspace(0, time_duration*1000, samplingFreq*timeDuration)
y = []
for t in t_ms:
y.append(SawTooth(t/1000, frequency, dutyCycle))
plt.plot(t_ms,y)
plt.show()
```