Quantization Error Variance

Problem

Return the variance of round-to-nearest uniform quantization noise: step^2 / 12, where step is the quantization step size.

The signature is quantization_error_variance(step).

Hint

Uniform noise on [-step/2, step/2] has variance step^2/12.

case 1

in: [1]

expected: 0.08333333333333333

case 2

in: [0.5]

expected: 0.020833333333333332

case 3

in: [0]

expected: 0

case 4

in: [2]

expected: 0.3333333333333333

Starter codePython

def quantization_error_variance(step):
    # Your code here
    pass

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