Outage Probability

Problem

Return the outage probability of a Rayleigh fading channel with mean SNR mean_snr when the SNR must exceed the given threshold:

P_out = 1 - exp(-threshold / mean_snr)

Hint

Rayleigh power is exponential, so the outage probability follows its CDF.

case 1

in: [1,1]

expected: 0.6321205588285577

case 2

in: [2,1]

expected: 0.8646647167633873

case 3

in: [0,1]

expected: 0

case 4

in: [1,2]

expected: 0.3934693402873666

Starter codePython

import math
def outage_probability(threshold, mean_snr):
    # Your code here
    pass

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