Wideband Capacity Limit

Problem

Return the limiting capacity in bits per second as bandwidth grows without bound for signal power P and one-sided noise spectral density N0:

C = log2(e) * P / N0

Assume N0 > 0.

Hint

Spreading power over more bandwidth eventually saturates at P / (N0 ln 2).

case 1

in: [1,1]

expected: 1.4426950408889634

case 2

in: [2,1]

expected: 2.8853900817779268

case 3

in: [1,2]

expected: 0.7213475204444817

case 4

in: [5,0.5]

expected: 14.426950408889635

Starter codePython

import math
def wideband_capacity_limit(power, noise_psd):
    # Your code here
    pass

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