Pretty much all of Fall 2024

7th-Semester-Fall-2024/ECOMMS/homework/homework-3/problem-1.py

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+import numpy as np
+import scipy as sp
+import matplotlib.pyplot as plt
+
+f_c = 1
+f_m = f_c/4
+
+omega_m = 2*np.pi*f_m
+omega_c = 2*np.pi*f_c
+
+T_c = f_c
+
+t = np.arange(0,10,T_c/10)
+m = np.cos(omega_m * t)
+
+plt.plot(t, m)
+plt.show()
+
+D_p = np.pi
+D_f = np.pi
+
+S_p = np.cos(omega_c + D_p*m)
+plt.plot(t,S_p)
+plt.show()

7th-Semester-Fall-2024/ECOMMS/homework/homework-3/problem-2.py

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+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()
+
+#