Equalizing $1/f$ noise I am recently acquiring data through ADC on signals ranging from $0.1\textrm{ Hz}$ to $50\textrm{ kHz}$ ($F_s = 128\textrm{ kHz}$). I noticed that apart from the white noise, I have something similar to $1/f$ noise with a cutoff frequency near $1\textrm{ Hz}$. There isn't much that I found on equalizing this $1/f$ noise on google. I am wondering what type of filters or algorithms that I can use to equalize the noise and have a flat noise bed in my frequency range as post-processing, so that I can see my input signals without the decay of magnitude caused by $1/f$ noise.

Also, I am wondering if I am able to equalize this noise, will it cause distortion in my signal in the time domain, or phase response?

Any advice, links to references or help would be greatly appreciated.
I guess that your problem may not really be 1/f noise, but rather the effects from using the FFT directly on your time signal (without any windowing). If that is true, then try applying the Hann window to the time signal before the FFT and check the result.

There is plenty of information available about the window functions and how to use them.