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2 votes

Generate a Time Series from Power Spectral Density Python

Sorry, this is a rather tortured implementation of something that's pretty straight forward. It's hard to point out what exactly is wrong in your code since most of it seems nonsensical to me and ...
Hilmar's user avatar
  • 45.4k
1 vote

Energy and Power: Power Spectral Density is units of Energy

I have a few more "philosophical" points to add. Maybe it's helpful Signal Energy vs Physical Energy As already stated, these are two different things and should be treated as such. ...
Hilmar's user avatar
  • 45.4k
0 votes

Energy and Power: Power Spectral Density is units of Energy

As a physicist that works on spectrum analyzers, I struggled with this question for a long time. Eventually I came to accept that |x[n]|2 is power not energy. x[n] is either a real voltage (something ...
ahavens's user avatar
1 vote

Energy and Power: Power Spectral Density is units of Energy

Summarizing what I got out of the responses and my own conclusion from this: In signal processing we have "Energy Signals" and "Power Signals" to distinguish from signals that in ...
Dan Boschen's user avatar
3 votes
Accepted

Energy and Power: Power Spectral Density is units of Energy

This answer discusses if Joule or Watt (or any other units) are applicable to the energy and power of signals as defined in signal processing. I will argue that trying to use units for energy and ...
Matt L.'s user avatar
  • 90.4k
2 votes

Energy and Power: Power Spectral Density is units of Energy

This is quite the question! I will write down some of my thoughts and hopefully they answer your questions and I don't make a mistake. I would say you are right in correctly noting that "...
Baddioes's user avatar
  • 1,040
2 votes

Why is the sample spectrum considered inconsistent?

The Stoica and Moses book gives a thorough derivation of this, so I’m not going to repeat it here. For filtered white noise, the output periodogram is \begin{equation} \hat{\phi}_{y}(\omega) =|H(\...
Baddioes's user avatar
  • 1,040
2 votes
Accepted

Why is the sample spectrum considered inconsistent?

It depends on the scaling used in the DFT but this doesn't mean we can't use the DFT vs Welch for computing a power spectrum. More on the benefits of Welch further below, but first I will cover the ...
Dan Boschen's user avatar

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