An analog-to-digital convertor circuit converts the output of a loop filter circuit to a digital signal. A random sequence generation circuit generates a random sequence. Adder circuitry adds the random sequence to the digital signal to generate a randomized digital signal. Noise transfer function impulse response detection circuitry processes the randomized digital signal and the random sequence to determine a noise transfer function impulse response. Loop filter configuration circuitry configures the loop filter circuit based on the noise transfer function impulse response. The random sequence generation circuit may comprises a high-pass sigma delta modulator. The noise transfer function impulse response detection circuitry may determine the noise transfer function impulse response, and the loop filter configuration circuitry may configure the loop filter based on the noise transfer function impulse response. The loop filter configuration circuitry may generate loop filter coefficients based on the noise transfer function impulse response.