Secrecy Capacity (Gaussian Wiretap)

Problem

Return the Gaussian wiretap secrecy capacity in bits:

max(0, 0.5 * log2(1 + P / N_main) - 0.5 * log2(1 + P / N_eaves))

If the eavesdropper's channel is better, no positive secret rate is achievable.

Hint

Secrecy needs the legitimate channel to be less noisy than the eavesdropper's.

case 1

in: [1,1,1]

expected: 0

case 2

in: [10,1,10]

expected: 1.2297158093186487

case 3

in: [1,1,4]

expected: 0.3390359525563188

case 4

in: [5,2,1]

expected: 0

Starter codePython

import math
def secrecy_capacity(power, noise_main, noise_eaves):
    # Your code here
    pass

4 test cases · run your code against them in the editor