import numpy as np
import scipy as sp
import matplotlib.pyplot as plt

# Modulation index
beta = 2.0

# Number of impulses is 2*(beta+1) + 1.
# For beta=2, the number of impulses is 3 either side of the center frequency
# plus 1 for the center frequency, for a total of 7 impulses.

# Message frequency
f_m = 15E+3

# Transmission bandwidth
B_T = 2*(beta+1)*f_m

n = np.arange(0,10,1)
bessel_values = sp.special.jv(n,beta)
bessel_power = np.cumsum(bessel_values)
plt.stem(n, bessel_values)
plt.plot(n, bessel_power)
plt.hlines(0.98*bessel_power[-1], xmin=n[0], xmax=n[-1])
plt.show()

#