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Can someone clarify for me what V(inoise) and V(onoise) waveforms are in LTSpice when using the .noise directive? I thought V(onoise) divided by the gain of your system would equal V(inoise) but that doesn't seem to be the case (see image from recent sim below). In this test circuit the gain is 2.

My understanding is that v(onoise) is the total rms noise you see at your output node.

enter image description here

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That's a noise plot and not really a waveform, it is a value vs frequency graph (or plot). Similar to a Bode plot.

I would only call a transient (time) response a waveform as that shows the actual shape of the wave (or signal) over time.

But enough nit-picking.

You're correct in thinking that the output_noise = gain * input_noise

However, for the noise-over-frequency plot to be flat, some conditions need to be met:

  • the gain is flat over frequency

  • the circuit doesn't add a significant amount of noise

Both these factors influence the output noise.

Indeed v(onoise) shows the RMS noise at the output.

What you have plotted is the spot noise over frequency. For the total noise you will need to integrate the spot noise over a certain bandwidth.

What the simulator does is:

  • linearize the circuit (same as in an AC simulation).

  • calculate the noise voltage / current of each component

  • calculate what the resulting noise of that voltage / current is at the output (or input in case of inoise)

  • sum-up all those noise contributions (using sum-of-squares as all noises are uncorrelated).

As this method takes into account the frequency behavior of the circuit, the shape of the inoise and onoise plots do not have to be the same.

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