Pink noise is a typical measurement signal and often used in audio signal processing. However, the pinkishness of noise is often a mystery and this post try to explain if the term pink noise is accurate or not. Other colored noises will be explained as well in the future. This is the first part of a series, which will explain how to compute the visual representation of a spectrum and some thoughts about the pink in pink noise.
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Lowpass filter design (Butterworth) for speech and audio is always connected with the bilinear transform and its distortions near Nyquist. Furthermore, we are limited to integer order and the corresponding 6dB / Oct per order steepness. Read on, and you will discover a solution for both problems by using the frequency domain least squares design routine for IIR filters. A Python Jupyter notebook is provided to play around with it.