Fourier Transform of 1/f Noise

Here’s a curious article by Steve Smith, author of The Scientist and Engineer’s Guide to Digital Signal Processing, where he shows that 1/f noise is its own Fourier transform!

Article ”An Interesting Fourier Transform – 1/f Noise”

I find it much easier to remember complicated ideas when there’s a clear graph. Smith shows a range of graphs, showing that “there is an inverse relationship; if the time domain decays faster, then the frequency domain decays slower, and vice-versa. This means that there must be a certain decay rate that is unique, where both domains are equal.”

Read the article – the mystery of 1/f noise continues. Perhaps the observation of this mathematical property will point toward learning the physical underpinnings that cause 1/f noise.