Gaussian Rate-Distortion Distortion

Problem

Return the Gaussian rate-distortion distortion at rate R for a source with variance var:

D(R) = var * 2^(-2R)

Hint

Each additional bit per sample quarters the distortion.

case 1

in: [1,1]

expected: 0.25

case 2

in: [0.5,4]

expected: 2

case 3

in: [2,1]

expected: 0.0625

case 4

in: [1,2]

expected: 0.5

Starter codePython

def gaussian_distortion(rate, var):
    # Your code here
    pass

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