An Interesting Fourier Transform – 1/F Noise

(dsprelated.com)

14 points | by q7m 3 days ago

2 comments

  • TeMPOraL 7 minutes ago
    Just as interesting and surprising to me is that this 0-100Hz line is unexplained. Given that signal processing is the foundation of pretty much all digital technology, as well as the analog technologies that came before, I've kind of assumed every segment of a frequency plot be well studied and understood, with half a dozen of names to choose for (doublesine quefrency this, Kowalski-Shannon that...) and a heap of decades old textbooks about it.

    I confirm, the low frequency range looks weird on every DFT plot I ever saw, particularly the audio ones. I just assumed it has something to do with ADC and is probably explained on Wikipedia. It's literally one of the last place on Earth when I'd expect to find unsolved mysteries.

  • mturmon 47 minutes ago
    The piece ends with the observation that maybe the fact that 1/f noise is its own Fourier transform is a clue.

    Turns out this property is not unusual. There are many such pairs - there’s a reasonably well-known journal paper with a construction technique.

    • fch42 38 minutes ago
      The paper linked at the "see also" section ? (thx)