End sem 7; week 2 winter session 2025

7th-Semester-Fall-2024/ECOMMS/homework/homework-5/problem-1.py

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+import numpy as np
+import matplotlib.pyplot as plt
+import scipy as sp
+
+def laplacian_distribution(n_0, std_dev):
+    return np.exp(-np.sqrt(2)*np.abs(n_0)/std_dev) / (np.sqrt(2)*std_dev)
+
+def main():
+    r_0 = np.linspace(-5,5,1000)
+    A = 1
+    std_dev = 1
+
+    low_dist = laplacian_distribution(r_0 - A, std_dev)
+    up_dist = laplacian_distribution(r_0 + A, std_dev)
+
+    plt.plot(r_0, low_dist, label="$s_1$")
+    plt.plot(r_0, up_dist, label="$s_2$")
+
+    P_error = (up_dist + low_dist - np.abs(up_dist-low_dist))/2
+    plt.fill_between(r_0, P_error, color=(0,0,0,0), hatch="//", edgecolor='k', label="$P_e$")
+
+    plt.legend()
+
+    plt.savefig("Probability of error")
+
+    plt.show()
+
+
+if __name__ == "__main__":
+    main()