I am trying to understand what gains I need to use each for a white noise generator and a pink noise generator for a human ear to perceive the loudness to be the same as it is for a 440 Hz sine wave at 1 VRMS.
See the two diagrams below for more details:
- The noise generator is set up as a linear-feedback shift register (LFSR), running at 500 kHz with a depth of 31 bits. For simplicity, assume a flat response in the frequency domain in the human's hearing range. Though most people don't hear up to 20 kHz, let's still assume a range from 20 Hz to 20 kHz.
- To convert the digital noise to audible white noise, a 3-pole low-pass Butterworth filter with a cut-off frequency at 40 kHz and a gain of 1 is used. For simplicity, you may want to assume a perfect low-pass filter with a cut-off at 40 kHz.
- For pink noise, a 3 dB/oct. filter is used with a gain of 1 at 100 Hz.
What would be x and y below?