Question

A continuous sine wave is given by y(t) = Asin(2pift), where A=amplitude and f=center frequency. In order to digitize the continuous signal, we sample the signal with sampling rate fs. 1. Time domain: using the generate_sine_wave() function below to generate a 2-second sine wave with f=10Hz and sampling rate fs=100Hz. 2. Frequency domain: exploring the frequency domain representation by calling the calculate_fft() function. import numpy as np from matplotlib import pyplot as plt from numpy.fft import fft, fftfreq, fftshift, ifft def generate_sine_wave(freq, sample_rate, duration): t=np.linspace(0, duration, sample_rateduration, endpoint=False) y=np.sin((2np.pi)freqt) plt.plot(t,y) plt.show() return t,y

          A continuous sine wave is given by y(t) = A*sin(2*pi*f*t), where A=amplitude and f=center frequency.
In order to digitize the continuous signal, we sample the signal with sampling rate fs.
1. Time domain: using the generate_sine_wave() function below to generate a 2-second sine wave with f=10Hz and sampling rate
fs=100Hz.
2. Frequency domain: exploring the frequency domain representation by calling the calculate_fft() function.
import numpy as np
from matplotlib import pyplot as plt
from numpy.fft import fft, fftfreq, fftshift, ifft
def generate_sine_wave(freq, sample_rate, duration):
t=np.linspace(0, duration, sample_rate*duration, endpoint=False)
y=np.sin((2*np.pi)*freq*t)
plt.plot(t,y)
plt.show()
return t,y

A continuous sine wave is given by y(t) = A*sin(2*pi*f*t), where A=amplitude and f=center frequency.
In order to digitize the continuous signal, we sample the signal with sampling rate fs.
1. Time domain: using the generatesinewave() function below to generate a 2-second sine wave with f=10Hz and sampling rate
fs=100Hz.
2. Frequency domain: exploring the frequency domain representation by calling the calculatefft() function.
import numpy as np
from matplotlib import pyplot as plt
from numpy.fft import fft, fftfreq, fftshift, ifft
def generatesinewave(freq, samplerate, duration):
t=np.linspace(0, duration, samplerate*duration, endpoint=False)
y=np.sin((2*np.pi)*freq*t)
plt.plot(t,y)
plt.show()
return t,y

Added by Sean W.

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