3 ms·
Can you clarify? It’s not clear to me how to target a particular distribution in time and frequency domain simultaneously.
by ssfrr 5y ago
Can you clarify? It’s not clear to me how to target a particular distribution in time and frequency domain simultaneously.
- enriquto 5y agoThink about the direct problem: you start with white noise with a distribution g such that you can compute its power spectrum (e.g. if g is Gaussian) , and then convolve it with a positive kernel k. You can write down explicitly the histogram and the power spectrum of the result, in terms of g and k. Now work backwards from it. I can find a reference if you need it.
- ssfrr 5y agoBut after you convolve in the time domain it will change the distribution, right? Every point in the convolved signal will be the sum of a bunch of points in the original signal multiplied by the kernel, which would make their distributions more gaussian, right?