MediumCalculusca-119

Fourier Square-Wave Coefficient

Problem

For the unit-amplitude square wave on (-pi, pi), the Fourier sine coefficient is b_n = 4 / (n * pi) for odd n and 0 for even n.

Given a positive integer n, return b_n using 3.141592653589793 for pi.

Hint

Only odd harmonics appear because the square wave has half-wave symmetry.

case 1

in: [1]

expected: 1.2732395447351628

case 2

in: [2]

expected: 0

case 3

in: [3]

expected: 0.4244131815783876

case 4

in: [5]

expected: 0.25464790894703254

case 5

in: [7]

expected: 0.18189136353359467

Starter codePython

def square_wave_coefficient(n):
    # Your code here
    pass

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