Channel Coding Theorem Threshold

Problem

Shannon's channel coding theorem says reliable communication is possible exactly when the code rate is below the channel capacity. Return True when code_rate < capacity and False otherwise. Assume both values are non-negative.

Hint

At exactly the capacity the theorem makes no promise of vanishing error.

Test cases

case 1

in: [0.4,0.5]

expected: true

case 2

in: [0.5,0.5]

expected: false

case 3

in: [0.6,0.5]

expected: false

case 4

in: [0.1,0.5]

expected: true

Starter codePython

def channel_coding_threshold(code_rate, capacity):
    # Your code here
    pass

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