How Do I Create a Complex Gaussian Joint PDF Plot?

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How do I create a complex Gaussian joint PDF plot (example figure)?

You are confusing the "time domain" with the "frequency domain". The term "white noise" is based on an analogy with white light. The latter term means that all optical frequency components >>within the visible range<< are present with nominally equal intensity. When we refer to "white noise", again the meaning is context dependent. In the context of acoustics, it might mean that all frequency components in a band from 20 Hz to perhaps 15 kHz are present with equal spectral density, that frequency range being what human ears typically span. All of the above instances relate to the "frequency domain." But when we are looking at, for example, noise voltages, we may be interested in the "time domain" statistics. For example, what is the probability that the instantaneous noise voltage exceeds, say, 11.5 microvolts. In the time domain, "random" noise voltages tend to have a so-called "normal" or Gaussian amplitude distribution. This is especially likely to be true if the observed voltage is some kind of summation of >many< individual random electron motions. In that situation, a statistical concept called "the central limit theorem" becomes relevant. (can be googled!)

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