MediumCalculusca-178

Bode Magnitude at Frequency

Problem

For the first-order low-pass transfer function H(s) = k / (s + a), the magnitude at frequency omega is |H(j*omega)| = k / sqrt(omega^2 + a^2).

Return the magnitude in decibels: 20*log10(|H|). Assume k > 0 and a >= 0.

Hint

At the corner frequency omega = a the magnitude drops by about 3 dB.

case 1

in: [1,1,0]

expected: 0

case 2

in: [1,1,1]

expected: -3.0102999566398125

case 3

in: [10,1,0]

expected: 20

case 4

in: [1,0,2]

expected: -6.020599913279624

case 5

in: [2,3,0]

expected: -3.521825181113625

Starter codePython

def bode_magnitude_db(k, a, omega):
    # Your code here
    pass

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